메뉴 건너뛰기




Volumn , Issue , 2010, Pages

Adaptive control of parabolic PDEs

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79959946261     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book
Times cited : (107)

References (121)
  • 1
    • 27844559530 scopus 로고    scopus 로고
    • Global stabilization of a nonlinear Ginzburg- Landau model of vortex shedding
    • Aamo, O.M., Krstic, M.: Global stabilization of a nonlinear Ginzburg- Landau model of vortex shedding. European Journal of Control 10, 105-116 (2004)
    • (2004) European Journal of Control , vol.10 , pp. 105-116
    • Aamo, O.M.1    Krstic, M.2
  • 2
    • 27844445424 scopus 로고    scopus 로고
    • Boundary control of the linearized Ginzburg-Landau model of vortex shedding
    • Aamo, O.M., Smyshlyaev, A., Krstic, M.: Boundary control of the linearized Ginzburg-Landau model of vortex shedding. SIAM Journal of Control and Optimization 43, 1953-1971 (2005)
    • (2005) SIAM Journal of Control and Optimization , vol.43 , pp. 1953-1971
    • Aamo, O.M.1    Smyshlyaev, A.2    Krstic, M.3
  • 3
    • 34247217911 scopus 로고    scopus 로고
    • Stabilization of a Ginzburg-Landau model of vortex shedding by output-feedback boundary control
    • Aamo, O.M., Smyshlyaev, A., Krstic, M., Foss, B.: Stabilization of a Ginzburg-Landau model of vortex shedding by output-feedback boundary control. IEEE Transactions on Automatic Control 52, 742-748 (2007)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , pp. 742-748
    • Aamo, O.M.1    Smyshlyaev, A.2    Krstic, M.3    Foss, B.4
  • 5
    • 0008201333 scopus 로고
    • Feedback stabilization of linear and semilinear parabolic systems
    • In: P. Clément et al. (eds.), Semigroup Theory and Applications, pp. 21-57. Marcel Dekker, New York
    • Amann, H.: Feedback stabilization of linear and semilinear parabolic systems. In: P. Cleoacute;ment et al. (eds.), Semigroup Theory and Applications, pp. 21-57. Marcel Dekker, New York (1989)
    • (1989)
    • Amann, H.1
  • 6
    • 0000019511 scopus 로고    scopus 로고
    • Infinite dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability
    • Balogh, A., Krstic, M.: Infinite dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability. European Journal of Control 8, 165-175 (2002)
    • (2002) European Journal of Control , vol.8 , pp. 165-175
    • Balogh, A.1    Krstic, M.2
  • 7
    • 0348155922 scopus 로고    scopus 로고
    • Stability of partial differential equations governing control gains in infinite dimensional backstepping
    • Balogh, A., Krstic, M.: Stability of partial differential equations governing control gains in infinite dimensional backstepping. Systems and Control Letters 51, 151-164 (2004)
    • (2004) Systems and Control Letters , vol.51 , pp. 151-164
    • Balogh, A.1    Krstic, M.2
  • 8
    • 0004119220 scopus 로고
    • Estimation Techniques for Distributed Parameter Systems
    • Boston
    • Banks, H.T., Kunisch, K.: Estimation Techniques for Distributed Parameter Systems. Birkhäuser, Boston (1989)
    • (1989) Birkhäuser
    • Banks, H.T.1    Kunisch, K.2
  • 10
    • 0003510881 scopus 로고    scopus 로고
    • Representation and control of infinite-dimensional systems
    • Birkhäuser, Boston
    • Bensoussan, A., Prato, G.D., Delfour, M.C., Mitter, S.K.: Representation and control of infinite-dimensional systems. Birkhäuser, Boston (2006)
    • (2006)
    • Bensoussan, A.1    Prato, G.D.2    Delfour, M.C.3    Mitter, S.K.4
  • 11
    • 0035440847 scopus 로고    scopus 로고
    • Reduced spatial order model reference adaptive control of spatially varying distributed parameter systems of parabolic and hyperbolic types
    • Bentsman, J., Orlov, Y.: Reduced spatial order model reference adaptive control of spatially varying distributed parameter systems of parabolic and hyperbolic types. International Journal of Adaptive Control and Signal Processing 15, 679-696 (2001)
    • (2001) International Journal of Adaptive Control and Signal Processing , vol.15 , pp. 679-696
    • Bentsman, J.1    Orlov, Y.2
  • 13
    • 0043160394 scopus 로고    scopus 로고
    • Backstepping in infinite dimension for a class of parabolic distributed parameter systems
    • Boskovic, D.M., Balogh, A., Krstic, M.: Backstepping in infinite dimension for a class of parabolic distributed parameter systems. Mathematics of Control, Signals, and Systems 16, 44-75 (2003)
    • (2003) Mathematics of Control, Signals, and Systems , vol.16 , pp. 44-75
    • Boskovic, D.M.1    Balogh, A.2    Krstic, M.3
  • 14
    • 0035546332 scopus 로고    scopus 로고
    • Nonlinear stabilization of a thermal convection loop by state feedback
    • Boskovic, D.M., Krstic, M.: Nonlinear stabilization of a thermal convection loop by state feedback. Automatica 37, 2033-2040 (2001)
    • (2001) Automatica , vol.37 , pp. 2033-2040
    • Boskovic, D.M.1    Krstic, M.2
  • 17
    • 0035704647 scopus 로고    scopus 로고
    • Boundary control of an unstable heat equation via measurement of domain-averaged temperature
    • Boskovic, D.M., Krstic, M., Liu, W.J.: Boundary control of an unstable heat equation via measurement of domain-averaged temperature. IEEE Transactions on Automatic Control 46, 2022-2028 (2001)
    • (2001) IEEE Transactions on Automatic Control , vol.46 , pp. 2022-2028
    • Boskovic, D.M.1    Krstic, M.2    Liu, W.J.3
  • 18
    • 68149170192 scopus 로고    scopus 로고
    • Adaptive trajectory tracking despite unknown actuator delay and plant parameters
    • Bresch-Pietri, D., Krstic, M.: Adaptive trajectory tracking despite unknown actuator delay and plant parameters. Automatica 45, 2075-2081 (2009)
    • (2009) Automatica , vol.45 , pp. 2075-2081
    • Bresch-pietri, D.1    Krstic, M.2
  • 19
    • 84883968641 scopus 로고    scopus 로고
    • Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay
    • Bresch-Pietri, D., Krstic, M.: Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay. Submitted to IEEE Transactions on Automatic Control
    • Bresch-pietri, D.1    Krstic, M.2
  • 20
    • 0035156096 scopus 로고    scopus 로고
    • Numerical methods for approximating functional gains in LQR boundary control problems
    • Burns, J.A., Hulsing, K.P.: Numerical methods for approximating functional gains in LQR boundary control problems. Mathematical and Computer Modeling 33, 89-100 (2001)
    • (2001) Mathematical and Computer Modeling , vol.33 , pp. 89-100
    • Burns, J.A.1    Hulsing, K.P.2
  • 21
    • 0003583688 scopus 로고
    • Conduction of Heat in Solids
    • Clarendon Press, Oxford
    • Carslaw, H.S., Jaeger, J.C.: Conduction of Heat in Solids. Clarendon Press, Oxford (1959)
    • (1959)
    • Carslaw, H.S.1    Jaeger, J.C.2
  • 22
    • 0003845235 scopus 로고    scopus 로고
    • Nonlinear and Robust Control of Partial Differential Equation Systems: Methods and Applications to Transport-Reaction Processes
    • Birkhäuser, Boston
    • Christofides, P.: Nonlinear and Robust Control of Partial Differential Equation Systems: Methods and Applications to Transport-Reaction Processes. Birkhäuser, Boston (2001)
    • (2001)
    • Christofides, P.1
  • 23
    • 0040916125 scopus 로고
    • The solution of initial-boundary value problems for parabolic equations by the method of integral operators
    • Colton, D.: The solution of initial-boundary value problems for parabolic equations by the method of integral operators. Journal of Differential Equations 26, 181-190 (1977)
    • (1977) Journal of Differential Equations , vol.26 , pp. 181-190
    • Colton, D.1
  • 24
    • 0019559037 scopus 로고
    • On identifiability of parameters in a class of parabolic distributed systems
    • Courdesses, M., Polis, M.P., Amouroux, M.: On identifiability of parameters in a class of parabolic distributed systems. IEEE Transactions on Automatic Control 26(2), 474-477 (1981)
    • (1981) IEEE Transactions on Automatic Control , vol.26 , Issue.2 , pp. 474-477
    • Courdesses, M.1    Polis, M.P.2    Amouroux, M.3
  • 26
    • 0025447017 scopus 로고
    • Robust stabilizability of normalized coprime factors: The infinite-dimensional case
    • Curtain, R.F.: Robust stabilizability of normalized coprime factors: The infinite-dimensional case. International Journal of Control 51, 1173-1190 (1990)
    • (1990) International Journal of Control , vol.51 , pp. 1173-1190
    • Curtain, R.F.1
  • 27
    • 0031344291 scopus 로고    scopus 로고
    • Adaptive observers for structurally perturbed infinite dimensional systems
    • In: Proceedings of the 36th Conference on Decision and Control, San Diego, Calif.
    • Curtain, R.F., Demetriou, M.A., Ito, K.: Adaptive observers for structurally perturbed infinite dimensional systems. In: Proceedings of the 36th Conference on Decision and Control, vol. 1, pp. 509-514. San Diego, Calif. (1997)
    • (1997) , vol.1 , pp. 509-514
    • Curtain, R.F.1    Demetriou, M.A.2    Ito, K.3
  • 28
    • 0032274145 scopus 로고    scopus 로고
    • Adaptive observers for slowly time varying infinite dimensional systems
    • In: Proceedings of the 37th Conference on Decision and Control
    • Curtain, R.F., Demetriou, M.A., Ito, K.: Adaptive observers for slowly time varying infinite dimensional systems. In: Proceedings of the 37th Conference on Decision and Control, vol. 4, pp. 4022-4027. Tampa, Fla. (1998)
    • (1998) Tampa, Fla. , vol.4 , pp. 4022-4027
    • Curtain, R.F.1    Demetriou, M.A.2    Ito, K.3
  • 29
    • 0003511170 scopus 로고
    • An Introduction to Infinite Dimensional Linear Systems Theory
    • Springer-Verlag, New York
    • Curtain, R.F., Zwart, H.J.: An Introduction to Infinite Dimensional Linear Systems Theory. Springer-Verlag, New York (1995)
    • (1995)
    • Curtain, R.F.1    Zwart, H.J.2
  • 30
    • 0036994207 scopus 로고    scopus 로고
    • Online fault detection and diagnosis for a class of positive real infinite dimensional systems
    • In: Proceedings of the 41st IEEE Conference on Decision and Control
    • Demetriou, M.A., Ito, K.: Online fault detection and diagnosis for a class of positive real infinite dimensional systems. In: Proceedings of the 41st IEEE Conference on Decision and Control, vol. 4, pp. 4359-4364 (2002)
    • (2002) , vol.4 , pp. 4359-4364
    • Demetriou, M.A.1    Ito, K.2
  • 31
    • 59349100081 scopus 로고    scopus 로고
    • Adaptive techniques for the MRAC, adaptive parameter identification, and on-line fault monitoring and accommodation for a class of positive real infinite dimensional systems
    • Demetriou, M.A., Ito, K., Smith, R.C.: Adaptive techniques for the MRAC, adaptive parameter identification, and on-line fault monitoring and accommodation for a class of positive real infinite dimensional systems. International Journal of Adaptive Control and Signal Processing 23(2), 193-215 (2009)
    • (2009) International Journal of Adaptive Control and Signal Processing , vol.23 , Issue.2 , pp. 193-215
    • Demetriou, M.A.1    Ito, K.2    Smith, R.C.3
  • 32
    • 0028433670 scopus 로고
    • On the persistence of excitation in the adaptive estimation of distributed parameter systems
    • Demetriou, M.A., Rosen, I.G.: On the persistence of excitation in the adaptive estimation of distributed parameter systems. IEEE Transactions on Automatic Control 39, 1117-1123 (1994)
    • (1994) IEEE Transactions on Automatic Control , vol.39 , pp. 1117-1123
    • Demetriou, M.A.1    Rosen, I.G.2
  • 35
    • 0036061263 scopus 로고    scopus 로고
    • Variable structure model reference adaptive control of parabolic distributed parameter systems
    • In: Proceedings of the 2002 American Control Conference
    • Demetriou, M.A., Rosen, I.G.: Variable structure model reference adaptive control of parabolic distributed parameter systems. In: Proceedings of the 2002 American Control Conference, vol. 6, pp. 4371-4376 (2002)
    • (2002) , vol.6 , pp. 4371-4376
    • Demetriou, M.A.1    Rosen, I.G.2
  • 36
    • 0035440018 scopus 로고    scopus 로고
    • State observation and adaptive linearizing control for distributed parameter (bio)chemical reactors
    • Dochain, D.: State observation and adaptive linearizing control for distributed parameter (bio)chemical reactors. International Journal of Adaptive Control and Signal Processing 15(6), 633-653 (2001)
    • (2001) International Journal of Adaptive Control and Signal Processing , vol.15 , Issue.6 , pp. 633-653
    • Dochain, D.1
  • 38
  • 40
    • 0003658323 scopus 로고    scopus 로고
    • Robust Nonlinear Control Design: State- Space and Lyapunov Techniques
    • Birkhäuser, Boston
    • Freeman, R.A., Kokotovic, P.V.: Robust Nonlinear Control Design: State- Space and Lyapunov Techniques. Birkhäuser, Boston (2008)
    • (2008)
    • Freeman, R.A.1    Kokotovic, P.V.2
  • 41
    • 84883910235 scopus 로고
    • Partial Differential Equations of Parabolic Type
    • Huntington, N.Y.
    • Friedman, A.: Partial Differential Equations of Parabolic Type. Robert E. Krieger Publishing Co., Huntington, N.Y. (1993)
    • (1993) Robert E. Krieger Publishing Co.
    • Friedman, A.1
  • 42
    • 0018997685 scopus 로고
    • Feedback stabilization of distributed parameter systems by a functional observer
    • Fuji, N.: Feedback stabilization of distributed parameter systems by a functional observer. SIAM Journal of Control and Optimization 18, 108-121 (1980)
    • (1980) SIAM Journal of Control and Optimization , vol.18 , pp. 108-121
    • Fuji, N.1
  • 43
    • 0031518562 scopus 로고    scopus 로고
    • Analysis and approximation of optimal control problems for a simplified Ginzburg-Landau model of supercondutivity
    • Gunzburger, M., Hou, L.S., Ravindrah, S.S.: Analysis and approximation of optimal control problems for a simplified Ginzburg-Landau model of supercondutivity. Numerische Mathematik 77, 243-268 (1997)
    • (1997) Numerische Mathematik , vol.77 , pp. 243-268
    • Gunzburger, M.1    Hou, L.S.2    Ravindrah, S.S.3
  • 44
    • 0001647631 scopus 로고    scopus 로고
    • Feedback control of Karman vortex shedding
    • Gunzburger, M., Lee, H.: Feedback control of Karman vortex shedding. Transactions of the ASME 63, 828-835 (1996)
    • (1996) , vol.63 , pp. 828-835
    • Gunzburger, M.1    Lee, H.2
  • 45
    • 24944456252 scopus 로고    scopus 로고
    • Regularity of a Schrödinger equation with Dirichlet control and colocated observation
    • Guo, B.Z., Shao, Z.C.: Regularity of a Schrödinger equation with Dirichlet control and colocated observation. Systems and Control Letters 54, 1135- 1142 (2005)
    • (2005) Systems and Control Letters , vol.54
    • Guo, B.Z.1    Shao, Z.C.2
  • 46
    • 84884090009 scopus 로고
    • Inequalities, 2nd ed. Cambridge University Press, Cambridge
    • Hardy, G., Littlewood, J., Polya, G.: Inequalities, 2nd ed. Cambridge University Press, Cambridge (1959)
    • (1959)
    • Hardy, G.1    Littlewood, J.2    Polya, G.3
  • 47
    • 0003162035 scopus 로고    scopus 로고
    • Active control and drag optimization for flow past a circular cylinder: I. Oscillatory cylinder rotation
    • He, J.W., Glowinski, R., Metcalfe, R., Nordlander, A., Periaux, J.: Active control and drag optimization for flow past a circular cylinder: I. Oscillatory cylinder rotation. Journal of Computational Physics 163, 83-117 (2000)
    • (2000) Journal of Computational Physics , vol.163 , pp. 83-117
    • He, J.W.1    Glowinski, R.2    Metcalfe, R.3    Nordlander, A.4    Periaux, J.5
  • 48
    • 0028495426 scopus 로고
    • Application of averaging method for integrodifferential equations to model reference adaptive control of parabolic systems
    • Hong, K.S., Bentsman, J.: Application of averaging method for integrodifferential equations to model reference adaptive control of parabolic systems. Automatica 30(9), 1415-1419 (1994)
    • (1994) Automatica , vol.30 , Issue.9 , pp. 1415-1419
    • Hong, K.S.1    Bentsman, J.2
  • 49
    • 0028527881 scopus 로고
    • Direct adaptive control of parabolic systems: Algorithm synthesis and convergence and stability analysis
    • Hong, K.S., Bentsman, J.: Direct adaptive control of parabolic systems: Algorithm synthesis and convergence and stability analysis. IEEE Transactions on Automatic Control 39, 2018-2033 (1994)
    • (1994) IEEE Transactions on Automatic Control , vol.39 , pp. 2018-2033
    • Hong, K.S.1    Bentsman, J.2
  • 50
    • 11944258694 scopus 로고
    • Local and global instabilities in spatially developing flows
    • Huerre, P., Monkewitz, P.: Local and global instabilities in spatially developing flows. Annual Review of Fluid Mechanics 22, 473-537 (1990)
    • (1990) Annual Review of Fluid Mechanics , vol.22 , pp. 473-537
    • Huerre, P.1    Monkewitz, P.2
  • 51
    • 0004106918 scopus 로고    scopus 로고
    • Robust Adaptive Control
    • Prentice Hall Englewood Cliffs, N.J.
    • Ioannou, P., Sun, J.: Robust Adaptive Control. Prentice Hall Englewood Cliffs, N.J. (1996)
    • (1996)
    • Ioannou, P.1    Sun, J.2
  • 52
  • 53
    • 84998095483 scopus 로고
    • When is a linear control system optimal? Transactions of the ASME
    • Kalman, R.E.: When is a linear control system optimal? Transactions of the ASME, Series D, Journal of Basic Engineering 86, 51-60 (1964)
    • (1964) Series D, Journal of Basic Engineering , vol.86 , pp. 51-60
    • Kalman, R.E.1
  • 55
    • 0004178386 scopus 로고    scopus 로고
    • Nonlinear Systems
    • 2nd ed. Prentice-Hall, Englewood Cliffs, N.J.
    • Khalil, H.: Nonlinear Systems, 2nd ed. Prentice-Hall, Englewood Cliffs, N.J. (1996)
    • (1996)
    • Khalil, H.1
  • 56
    • 59349121023 scopus 로고    scopus 로고
    • Disturbance rejection in a class of adaptive control laws for distributed parameter systems
    • Kim, J.Y., Bentsman, J.: Disturbance rejection in a class of adaptive control laws for distributed parameter systems. International Journal of Adaptive Control and Signal Processing 23(2), 166-192 (2009)
    • (2009) International Journal of Adaptive Control and Signal Processing , vol.23 , Issue.2 , pp. 166-192
    • Kim, J.Y.1    Bentsman, J.2
  • 57
    • 0008017418 scopus 로고
    • Identifiability of spatially-varying and constant parameters in distributed systems of parabolic type
    • Kitamura, S., Nakagiri, S.: Identifiability of spatially-varying and constant parameters in distributed systems of parabolic type. SIAM Journal on Control and Optimization 15(5), 785-802 (1977)
    • (1977) SIAM Journal on Control and Optimization , vol.15 , Issue.5 , pp. 785-802
    • Kitamura, S.1    Nakagiri, S.2
  • 58
    • 0023406946 scopus 로고
    • Global adaptive stabilization of infinite-dimensional systems
    • Kobayashi, T.: Global adaptive stabilization of infinite-dimensional systems. Systems and Control Letters 9(3), 215-223 (1987)
    • (1987) Systems and Control Letters , vol.9 , Issue.3 , pp. 215-223
    • Kobayashi, T.1
  • 59
    • 0035450991 scopus 로고    scopus 로고
    • Adaptive regulator design of a viscous Burgers' system by boundary control
    • Kobayashi, T.: Adaptive regulator design of a viscous Burgers' system by boundary control. IMA Journal of Mathematical Control and Information 18, 427-437 (2001)
    • (2001) , vol.18 , pp. 427-437
    • Kobayashi, T.1
  • 60
    • 0037138857 scopus 로고    scopus 로고
    • Adaptive stabilization of the Kuramoto-Sivashinsky equation
    • Kobayashi, T.: Adaptive stabilization of the Kuramoto-Sivashinsky equation. International Journal of Systems Science 33, 175-180 (2002)
    • (2002) International Journal of Systems Science , vol.33 , pp. 175-180
    • Kobayashi, T.1
  • 61
    • 0022027469 scopus 로고
    • Identification of parameters in distributed parameter-systems by regularization
    • Kravaris, C., Seinfeld, J.H.: Identification of parameters in distributed parameter-systems by regularization. SIAM Journal on Control and Optimization 23(2), 217-241 (1985)
    • (1985) SIAM Journal on Control and Optimization , vol.23 , Issue.2 , pp. 217-241
    • Kravaris, C.1    Seinfeld, J.H.2
  • 63
    • 33750578143 scopus 로고    scopus 로고
    • Systematization of approaches to adaptive boundary stabilization of PDEs
    • Krstic, M.: Systematization of approaches to adaptive boundary stabilization of PDEs. International Journal of Robust and Nonlinear Control 16, 812-818 (2006)
    • (2006) International Journal of Robust and Nonlinear Control , vol.16 , pp. 812-818
    • Krstic, M.1
  • 64
    • 54049145831 scopus 로고    scopus 로고
    • Optimal adaptive control: Contradiction in terms or a matter of choosing the right cost functional
    • Krstic, M.: Optimal adaptive control: Contradiction in terms or a matter of choosing the right cost functional. IEEE Transactions on Automatic Control 53, 1942-1947 (2008)
    • (2008) IEEE Transactions on Automatic Control , vol.53 , pp. 1942-1947
    • Krstic, M.1
  • 65
    • 70449650336 scopus 로고    scopus 로고
    • Adaptive control of an anti-stable wave PDE
    • In: Proceedings of the 2009 American Control Conference
    • Krstic, M.: Adaptive control of an anti-stable wave PDE. In: Proceedings of the 2009 American Control Conference, pp. 1505-1510 (2009)
    • (2009) , pp. 1505-1510
    • Krstic, M.1
  • 66
    • 0003685180 scopus 로고    scopus 로고
    • Stabilization of Nonlinear Uncertain Systems
    • Springer-Verlag, New York
    • Krstic, M., Deng, H.: Stabilization of Nonlinear Uncertain Systems. Springer-Verlag, New York (1998)
    • (1998)
    • Krstic, M.1    Deng, H.2
  • 67
    • 62749166997 scopus 로고    scopus 로고
    • Boundary controllers and observers for Schrödinger equation
    • In: Proceedings of the 46th IEEE Conference on Decision and Control
    • Krstic, M., Guo, B.Z., Smyshlyaev, A.: Boundary controllers and observers for Schrödinger equation. In: Proceedings of the 46th IEEE Conference on Decision and Control, pp. 4149-4154 (2007)
    • (2007) , pp. 4149-4154
    • Krstic, M.1    Guo, B.Z.2    Smyshlyaev, A.3
  • 68
    • 0003427482 scopus 로고
    • Nonlinear and Adaptive Control Design
    • Wiley, New York
    • Krstic, M., Kanellakopoulos, I., Kokotovic, P.: Nonlinear and Adaptive Control Design. Wiley, New York (1995)
    • (1995)
    • Krstic, M.1    Kanellakopoulos, I.2    Kokotovic, P.3
  • 70
    • 77950795931 scopus 로고    scopus 로고
    • Boundary Control of PDEs: A Course on Backstepping Designs
    • Krstic, M., Smyshlyaev, A.: Boundary Control of PDEs: A Course on Backstepping Designs. SIAM (2008)
    • (2008) SIAM
    • Krstic, M.1    Smyshlyaev, A.2
  • 71
    • 0003690985 scopus 로고
    • Linear and Quasilinear Equations of Parabolic Type
    • AMS, Providence, R.I.
    • Ladyzhenskaya, O.A., Solonnikov, V.A., Uralceva, N.N.: Linear and Quasilinear Equations of Parabolic Type. AMS, Providence, R.I. (1968)
    • (1968)
    • Ladyzhenskaya, O.A.1    Solonnikov, V.A.2    Uralceva, N.N.3
  • 73
    • 0020824027 scopus 로고
    • Stabilization and structural assignment of Dirichlet boundary feedback parabolic equations
    • Lasiecka, I., Triggiani, R.: Stabilization and structural assignment of Dirichlet boundary feedback parabolic equations. SIAM Journal on Control and Optimization 21, 766-803 (1983)
    • (1983) SIAM Journal on Control and Optimization , vol.21 , pp. 766-803
    • Lasiecka, I.1    Triggiani, R.2
  • 74
    • 84972514083 scopus 로고
    • Optimal regularity exact controllability and uniform stabilisation of Schrödinger equations with Dirichlet control
    • Lasiecka, I., Triggiani, R.: Optimal regularity exact controllability and uniform stabilisation of Schrödinger equations with Dirichlet control. Differential Integral Equations 5, 521-535 (1992)
    • (1992) Differential Integral Equations , vol.5 , pp. 521-535
    • Lasiecka, I.1    Triggiani, R.2
  • 75
    • 0003715566 scopus 로고    scopus 로고
    • Control Theory for Partial Differential Equations: Continuous and Approximation Theories
    • Cambridge University Press, Cambridge
    • Lasiecka, I., Triggiani, R.: Control Theory for Partial Differential Equations: Continuous and Approximation Theories. Cambridge University Press, Cambridge (2000)
    • (2000)
    • Lasiecka, I.1    Triggiani, R.2
  • 76
    • 84883904520 scopus 로고    scopus 로고
    • h∞ control of linear global instability in models of non-parallel wakes
    • In: Proceedings of the Second International Symposium on Turbulence and Shear Flow Phenomena. Stockholm, Sweden
    • Lauga, E., Bewley, T.: h∞ control of linear global instability in models of non-parallel wakes. In: Proceedings of the Second International Symposium on Turbulence and Shear Flow Phenomena. Stockholm, Sweden (2001)
    • (2001)
    • Lauga, E.1    Bewley, T.2
  • 77
    • 1542616902 scopus 로고    scopus 로고
    • The decay of stabilizability with Reynolds number in a linear model of spatially developing flows
    • Royal Society of London, Proceedings, Series A
    • Lauga, E., Bewley, T.: The decay of stabilizability with Reynolds number in a linear model of spatially developing flows. Royal Society of London, Proceedings, Series A: Mathematical, Physical and Engineering Sciences 459, 2077-2095 (2003)
    • (2003) Mathematical, Physical and Engineering Sciences , vol.459 , pp. 2077-2095
    • Lauga, E.1    Bewley, T.2
  • 78
    • 4043132979 scopus 로고    scopus 로고
    • Performance of a linear robust control strategy on a nonlinear model of spatially-developing flows
    • Lauga, E., Bewley, T.: Performance of a linear robust control strategy on a nonlinear model of spatially-developing flows. Journal of Fluid Mechanics 512, 343-374 (2004)
    • (2004) Journal of Fluid Mechanics , vol.512 , pp. 343-374
    • Lauga, E.1    Bewley, T.2
  • 79
    • 0031213212 scopus 로고    scopus 로고
    • Optimal design of adaptive tracking controllers for nonlinear systems
    • Li, Z.H., Krstic, M.: Optimal design of adaptive tracking controllers for nonlinear systems. Automatica 33, 1459-1473 (1997)
    • (1997) Automatica , vol.33 , pp. 1459-1473
    • Li, Z.H.1    Krstic, M.2
  • 80
    • 2942514669 scopus 로고    scopus 로고
    • Boundary feedback stabilization of an unstable heat equation
    • Liu, W.J.: Boundary feedback stabilization of an unstable heat equation. SIAM Journal on Control and Optimization 42, 1033-1043 (2003)
    • (2003) SIAM Journal on Control and Optimization , vol.42 , pp. 1033-1043
    • Liu, W.J.1
  • 82
    • 0009440113 scopus 로고
    • Stabilization and regulation of infinite-dimensional systems using coprime factorizations
    • In: R.F. Curtain, A. Bensoussan, J.L. Lions (eds.), Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems, pp. 102-139. Springer- Verlag, Berlin
    • Logemann, H.: Stabilization and regulation of infinite-dimensional systems using coprime factorizations. In: R.F. Curtain, A. Bensoussan, J.L. Lions (eds.), Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems, pp. 102-139. Springer- Verlag, Berlin (1993)
    • (1993)
    • Logemann, H.1
  • 83
  • 84
    • 0030647566 scopus 로고    scopus 로고
    • Adaptive stabilization without identification for distributed parameter systems: An overview
    • Logemann, H., Townley, S.: Adaptive stabilization without identification for distributed parameter systems: An overview. IMA Journal of Mathematical Control and Information 14, 175-206 (1997)
    • (1997) , vol.14 , pp. 175-206
    • Logemann, H.1    Townley, S.2
  • 85
    • 0026123468 scopus 로고
    • Some remarks on adaptive stabilization of infinitedimensional systems
    • Logemann, H., Zwart, H.: Some remarks on adaptive stabilization of infinitedimensional systems. Systems and Control Letters 16(3), 199-207 (1991)
    • (1991) Systems and Control Letters , vol.16 , Issue.3 , pp. 199-207
    • Logemann, H.1    Zwart, H.2
  • 87
    • 32544439582 scopus 로고
    • Stabilization of the Schrödinger equation
    • Machtyngier, E., Zuazua, E.: Stabilization of the Schrödinger equation. Portugaliae Mathematica 51, 243-256 (1994)
    • (1994) Portugaliae Mathematica , vol.51 , pp. 243-256
    • Machtyngier, E.1    Zuazua, E.2
  • 88
    • 84888007175 scopus 로고    scopus 로고
    • Private communication
    • (June
    • Monkewitz, P.: Private communication (June 2002)
    • (2002)
    • Monkewitz, P.1
  • 90
    • 0020782778 scopus 로고
    • Identifiability of linear systems in Hilbert spaces
    • Nakagiri, S.I.: Identifiability of linear systems in Hilbert spaces. SIAM Journal on Control and Optimization 21(4), 501-530 (1983)
    • (1983) SIAM Journal on Control and Optimization , vol.21 , Issue.4 , pp. 501-530
    • Nakagiri, S.I.1
  • 91
    • 0042261026 scopus 로고
    • On the stabilization of diffusion equations: boundary observation and feedback
    • Nambu, T.: On the stabilization of diffusion equations: boundary observation and feedback. Journal of Differential Equations 52, 204-233 (1984)
    • (1984) Journal of Differential Equations , vol.52 , pp. 204-233
    • Nambu, T.1
  • 92
    • 0004149737 scopus 로고
    • Linear Operator Theory in Engineering and Science
    • Springer-Verlag, New York
    • Naylor, A.W., Sell, G.R.: Linear Operator Theory in Engineering and Science. Springer-Verlag, New York (1982)
    • (1982)
    • Naylor, A.W.1    Sell, G.R.2
  • 93
    • 13544264983 scopus 로고    scopus 로고
    • Sliding mode observer-based synthesis of state derivative-free model reference adaptive control of distributed parameter systems
    • Orlov, Y.: Sliding mode observer-based synthesis of state derivative-free model reference adaptive control of distributed parameter systems. Journal of Dynamic Systems, Measurement, and Control 122(4), 725-731 (2000)
    • (2000) Journal of Dynamic Systems, Measurement, and Control , vol.122 , Issue.4 , pp. 725-731
    • Orlov, Y.1
  • 94
    • 0033742670 scopus 로고    scopus 로고
    • Adaptive distributed parameter systems identification with enforceable identifiability conditions and reduced-order spatial differentiation
    • Orlov, Y., Bentsman, J.: Adaptive distributed parameter systems identification with enforceable identifiability conditions and reduced-order spatial differentiation. IEEE Transactions on Automatic Control 45(2), 203-216 (2000)
    • (2000) IEEE Transactions on Automatic Control , vol.45 , Issue.2 , pp. 203-216
    • Orlov, Y.1    Bentsman, J.2
  • 95
    • 0005344194 scopus 로고
    • Feedback control of a global mode in spatially developing flows
    • Park, D., Ladd, D., Hendricks, E.: Feedback control of a global mode in spatially developing flows. Physical Letters A 182, 244-248 (1993)
    • (1993) Physical Letters A , vol.182 , pp. 244-248
    • Park, D.1    Ladd, D.2    Hendricks, E.3
  • 96
    • 0027974845 scopus 로고
    • Feedback control of von Kármán vortex shedding behind a circular cylinder at low Reynolds numbers
    • Park, D., Ladd, D., Hendricks, E.: Feedback control of von Kármán vortex shedding behind a circular cylinder at low Reynolds numbers. Physics of Fluids 6, 2390-2405 (1994)
    • (1994) Physics of Fluids , vol.6 , pp. 2390-2405
    • Park, D.1    Ladd, D.2    Hendricks, E.3
  • 97
    • 0036202748 scopus 로고    scopus 로고
    • Observability and control of Schrödinger equations
    • Phung, K.D.: Observability and control of Schrödinger equations. SIAM Journal on Control and Optimization 40, 211-230 (2001)
    • (2001) , vol.40 , pp. 211-230
    • Phung, K.D.1
  • 98
    • 0018493112 scopus 로고
    • Unique identification of eigenvalues and coefficients in a parabolic problem
    • Pierce, A.: Unique identification of eigenvalues and coefficients in a parabolic problem. SIAM Journal on Control and Optimization 17(4), 494-499 (1979)
    • (1979) SIAM Journal on Control and Optimization , vol.17 , Issue.4 , pp. 494-499
    • Pierce, A.1
  • 99
    • 43349093737 scopus 로고    scopus 로고
    • Handbook of Linear Partial Differential Equations for Engineers and Scientists
    • Polyanin, A.D.: Handbook of Linear Partial Differential Equations for Engineers and Scientists. Chapman & Hall/CRC, Boca Raton, Fla. (2002)
    • (2002) Chapman & Hall/CRC, Boca Raton, Fla
    • Polyanin, A.D.1
  • 101
    • 0004184360 scopus 로고
    • Integrals and Series
    • Special Functions. Gordon and Breach
    • Prudnikov, A.P., Brychkov, Y.A., Marichev, O.I.: Integrals and Series, vol. 2: Special Functions. Gordon and Breach (1986)
    • (1986) , vol.2
    • Prudnikov, A.P.1    Brychkov, Y.A.2    Marichev, O.I.3
  • 103
    • 0001596615 scopus 로고    scopus 로고
    • Nonlinear modelling of vortex shedding control in cylinder wakes
    • Roussopoulos, K., Monkewitz, P.: Nonlinear modelling of vortex shedding control in cylinder wakes. Physica D 97, 264-273 (1996)
    • (1996) Physica D , vol.97 , pp. 264-273
    • Roussopoulos, K.1    Monkewitz, P.2
  • 104
    • 84924157302 scopus 로고
    • Differential-delay equations as canonical forms for controlled hyperbolic systems with applications to spectral assignment
    • In: A.K. Aziz, J.W. Wingate, M.J. Balas (eds.), Control Theory of Systems Governed by Partial Differential Equations, Academic Press, New York
    • Russell, D.L.: Differential-delay equations as canonical forms for controlled hyperbolic systems with applications to spectral assignment. In: A.K. Aziz, J.W. Wingate, M.J. Balas (eds.), Control Theory of Systems Governed by Partial Differential Equations. Academic Press, New York (1977)
    • (1977)
    • Russell, D.L.1
  • 105
    • 0000820706 scopus 로고
    • Controllability and stabilizability theory for linear partial differential equations: recent progress and open questions
    • Russell, D.L.: Controllability and stabilizability theory for linear partial differential equations: recent progress and open questions. SIAM Review 20, 639-739 (1978)
    • (1978) SIAM Review , vol.20 , pp. 639-739
    • Russell, D.L.1
  • 106
    • 0039137861 scopus 로고
    • Two results on exact boundary control of parabolic equations
    • Seidman, T.I.: Two results on exact boundary control of parabolic equations. Applied Mathematics and Optimization 11, 145-152 (1984)
    • (1984) Applied Mathematics and Optimization , vol.11 , pp. 145-152
    • Seidman, T.I.1
  • 107
  • 108
    • 11044230320 scopus 로고    scopus 로고
    • Closed form boundary state feedbacks for a class of 1D partial integro-differential equations
    • Smyshlyaev, A., Krstic, M.: Closed form boundary state feedbacks for a class of 1D partial integro-differential equations. IEEE Transactions on Automatic Control 49, 2185-2202 (2004)
    • (2004) IEEE Transactions on Automatic Control , vol.49 , pp. 2185-2202
    • Smyshlyaev, A.1    Krstic, M.2
  • 109
    • 18444367088 scopus 로고    scopus 로고
    • Backstepping observers for a class of parabolic PDEs
    • Smyshlyaev, A., Krstic, M.: Backstepping observers for a class of parabolic PDEs. Systems and Control Letters 54, 613-625 (2005)
    • (2005) Systems and Control Letters , vol.54 , pp. 613-625
    • Smyshlyaev, A.1    Krstic, M.2
  • 110
    • 22344440636 scopus 로고    scopus 로고
    • On control design for PDEs with spacedependent diffusivity or time-dependent reactivity
    • Smyshlyaev, A., Krstic, M.: On control design for PDEs with spacedependent diffusivity or time-dependent reactivity. Automatica 41, 1601- 1608 (2005)
    • (2005) Automatica , vol.41
    • Smyshlyaev, A.1    Krstic, M.2
  • 111
    • 34547563487 scopus 로고    scopus 로고
    • Adaptive boundary control for unstable parabolic PDEs. Part II. Estimation-based designs
    • Smyshlyaev, A., Krstic, M.: Adaptive boundary control for unstable parabolic PDEs. Part II. Estimation-based designs. Automatica 43, 1543-1556 (2007)
    • (2007) Automatica , vol.43 , pp. 1543-1556
    • Smyshlyaev, A.1    Krstic, M.2
  • 112
    • 34547569329 scopus 로고    scopus 로고
    • Adaptive boundary control for unstable parabolic PDEs. Part III. Output feedback examples with swapping identifiers
    • Smyshlyaev, A., Krstic, M.: Adaptive boundary control for unstable parabolic PDEs. Part III. Output feedback examples with swapping identifiers. Automatica 43, 1557-1564 (2007)
    • (2007) Automatica , vol.43 , pp. 1557-1564
    • Smyshlyaev, A.1    Krstic, M.2
  • 114
    • 0033331645 scopus 로고    scopus 로고
    • Adaptive distributed control of a parabolic system with spatially varying parameters
    • In: Proceedings of the 38th IEEE Conference on Decision and Control
    • Solo, V., Bamieh, B.: Adaptive distributed control of a parabolic system with spatially varying parameters. In: Proceedings of the 38th IEEE Conference on Decision and Control, pp. 2892-2895 (1999)
    • (1999) , pp. 2892-2895
    • Solo, V.1    Bamieh, B.2
  • 115
    • 0003424544 scopus 로고
    • Infinite-Dimensional Dynamical Systems in Mechanics and Physics
    • Springer
    • Temam, R.: Infinite-Dimensional Dynamical Systems in Mechanics and Physics. Springer (1988)
    • (1988)
    • Temam, R.1
  • 116
    • 0019164651 scopus 로고
    • Boundary feedback stabilization of parabolic equations
    • Triggiani, R.: Boundary feedback stabilization of parabolic equations. Applied Mathematics and Optimization 6, 201-220 (1980)
    • (1980) Applied Mathematics and Optimization , vol.6 , pp. 201-220
    • Triggiani, R.1
  • 117
    • 33744824387 scopus 로고    scopus 로고
    • Explicit integral operator feedback for local stabilization of nonlinear thermal convection loop PDEs
    • Vazquez, R., Krstic, M.: Explicit integral operator feedback for local stabilization of nonlinear thermal convection loop PDEs. Systems and Control Letters 55, 624-632 (2006)
    • (2006) Systems and Control Letters , vol.55 , pp. 624-632
    • Vazquez, R.1    Krstic, M.2
  • 118
    • 38149047405 scopus 로고    scopus 로고
    • A closed-form feedback controller for stabilization of the linearized 2D Navier-Stokes Poisseuille flow
    • Vazquez, R., Krstic, M.: A closed-form feedback controller for stabilization of the linearized 2D Navier-Stokes Poisseuille flow. IEEE Transactions on Automatic Control 52, 2298-2312 (2007)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , pp. 2298-2312
    • Vazquez, R.1    Krstic, M.2
  • 119
    • 52949137644 scopus 로고    scopus 로고
    • Control of Turbulent and Magnetohydrodynamic Channel Flows
    • Birkhäuser, Boston
    • Vazquez, R., Krstic, M.: Control of Turbulent and Magnetohydrodynamic Channel Flows. Birkhäuser, Boston (2007)
    • (2007)
    • Vazquez, R.1    Krstic, M.2
  • 121
    • 85057384774 scopus 로고    scopus 로고
    • Nonlinear evolution equations
    • Chapman & Hall/CRC, Boca Raton, Fla.
    • Zheng, S.: Nonlinear evolution equations. Chapman & Hall/CRC, Boca Raton, Fla. (2004)
    • (2004)
    • Zheng, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.