메뉴 건너뛰기




Volumn 454, Issue 1979, 1998, Pages 3009-3033

H∞-control theory of fluid dynamics

Author keywords

Active flow control; Control of fluids; H control; Hamilton jacobi theory; Hamiltonian systems; Robust control

Indexed keywords


EID: 0000416603     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0289     Document Type: Article
Times cited : (50)

References (53)
  • 4
    • 0016534493 scopus 로고
    • & Liung, L. Some analytic and computational results for the operator Riccati equations.
    • Casti, J. L. & Liung, L. 1975 Some analytic and computational results for the operator Riccati equations. SIAM Jl Control 13, 817-826.
    • (1975) SIAM Jl Control 13, 817-826.
    • Casti, J.L.1
  • 5
    • 85020776381 scopus 로고
    • Hydrodynamic and hydromagnetic stability.
    • Chandrasekhar, S. 1981 Hydrodynamic and hydromagnetic stability. New York: Dover.
    • (1981) New York: Dover.
    • Chandrasekhar, S.1
  • 6
    • 85020838753 scopus 로고
    • & Marsden, J. E. Properties of infinite dimensional Hamiltonian systems.
    • Chernoff, P. R. & Marsden, J. E. 1974 Properties of infinite dimensional Hamiltonian systems. New York: Springer.
    • (1974) New York: Springer.
    • Chernoff, P.R.1
  • 7
    • 85020806296 scopus 로고
    • & Zwart, H. J. An introduction to infinite dimensional linear systems theory.
    • Curtain, R. F. & Zwart, H. J. 1995 An introduction to infinite dimensional linear systems theory. New York: Springer.
    • (1995) New York: Springer.
    • Curtain, R.F.1
  • 9
    • 85020825905 scopus 로고
    • & Lions, J. L. Inequalities in mechanics and physics.
    • Duvaut, G. & Lions, J. L. 1976 Inequalities in mechanics and physics. New York: Springer.
    • (1976) New York: Springer.
    • Duvaut, G.1
  • 10
    • 33746394982 scopus 로고
    • & Pritchard, A. J. Sensors and controls in the analysis of distributed systems.
    • El Jai, A. & Pritchard, A. J. 1988 Sensors and controls in the analysis of distributed systems. New York: Wiley.
    • (1988) New York: Wiley.
    • El Jai, A.1
  • 11
    • 0026799784 scopus 로고
    • & Sritharan, S. S. Existence of optimal controls for viscous flow problems.
    • Fattorini, H. O. & Sritharan, S. S. 1992 Existence of optimal controls for viscous flow problems. Proc. R. Soc. Land. A 439, 81-102.
    • (1992) Proc. R. Soc. Land. a 439, 81-102.
    • Fattorini, H.O.1
  • 12
    • 84973966012 scopus 로고
    • & Sritharan, S. S. Necessary and sufficient conditions for optimal controls in viscous flow problems.
    • Fattorini, H. O. & Sritharan, S. S. 1994 Necessary and sufficient conditions for optimal controls in viscous flow problems. Proc. R. Soc. Edinb. A124, 211-251.
    • (1994) Proc. R. Soc. Edinb. A124, 211-251.
    • Fattorini, H.O.1
  • 14
    • 85020766828 scopus 로고    scopus 로고
    • & Tannenbaum, A. Robust control of infinite dimensional systems: frequency domain methods.
    • Foias, C., Ozbay, H. & Tannenbaum, A. 1996 Robust control of infinite dimensional systems: frequency domain methods. London: Springer.
    • (1996) London: Springer.
    • Foias, C.1    Ozbay, H.2
  • 18
    • 85020791991 scopus 로고
    • On some control problems and results related to the unique solution of mixed problems by the three-dimensional Navier-Stokes and Euler equations.
    • Fursikov, A. V. 1980 On some control problems and results related to the unique solution of mixed problems by the three-dimensional Navier-Stokes and Euler equations. Dokl. Akad. Nauk. SSSR 252, 1066-1070.
    • (1980) Dokl. Akad. Nauk. SSSR 252, 1066-1070.
    • Fursikov, A.V.1
  • 19
    • 85020827394 scopus 로고
    • Properties of solutions of certain extremum problems related to the NavierStokes and Euler equations.
    • Fursikov, A. V. 1981 Properties of solutions of certain extremum problems related to the NavierStokes and Euler equations. Math. Sbornik 117, 323-349.
    • (1981) Math. Sbornik 117, 323-349.
    • Fursikov, A.V.1
  • 22
    • 0028976765 scopus 로고
    • & Stace, J. Experimental investigation of a salt water turbulent boundary layer modified by an applied streamwise magnetohydrodynamic body force.
    • Henoch, C. & Stace, J. 1995 Experimental investigation of a salt water turbulent boundary layer modified by an applied streamwise magnetohydrodynamic body force. Phys. Fluids 7, 1371-1383.
    • (1995) Phys. Fluids 7, 1371-1383.
    • Henoch, C.1
  • 24
    • 0015680499 scopus 로고
    • Some new algorithms for recursive linear estimation in constant linear systems.
    • Kailath, T. 1973 Some new algorithms for recursive linear estimation in constant linear systems. IEEE Trans. Information Theory 19, 750-760.
    • (1973) IEEE Trans. Information Theory 19, 750-760.
    • Kailath, T.1
  • 27
    • 85020827673 scopus 로고
    • Nearly integrable infinite dimensional Hamiltonian systems.
    • Kuksin, S. B. 1993 Nearly integrable infinite dimensional Hamiltonian systems. New York: Springer.
    • (1993) New York: Springer.
    • Kuksin, S.B.1
  • 28
  • 30
    • 0018735812 scopus 로고
    • & Sivashinsky, G. An asymptotic derivation of two models in flame theory associated with the constant density approximation.
    • Matkowsky, B. J. & Sivashinsky, G. 1979 An asymptotic derivation of two models in flame theory associated with the constant density approximation. SIAM Jl Ay-pi. Math. 37, 686-696.
    • (1979) SIAM Jl Ay-pi. Math. 37, 686-696.
    • Matkowsky, B.J.1
  • 31
    • 0026401893 scopus 로고
    • & Townley, S. Robustness optimization for uncertain infinite dimensional systems with unbounded inputs.
    • Pritchard, A. J. & Townley, S. 1991 Robustness optimization for uncertain infinite dimensional systems with unbounded inputs. IMA Jl Math. Cont. Information 8, 121-134.
    • (1991) IMA Jl Math. Cont. Information 8, 121-134.
    • Pritchard, A.J.1
  • 32
    • 84958429867 scopus 로고
    • & Lykoudis, P. S. The effect of transverse magnetic field on shear turbulence.
    • Reed, C. B. & Lykoudis, P. S. 1978 The effect of transverse magnetic field on shear turbulence. J. Fluid Mech. 89, 147-171.
    • (1978) J. Fluid Mech. 89, 147-171.
    • Reed, C.B.1
  • 33
    • 85020797916 scopus 로고    scopus 로고
    • & Rovnyak, J. Hardy classes and operator theory.
    • Rosenblum, M. & Rovnyak, J. 1997 Hardy classes and operator theory. New York: Dover.
    • (1997) New York: Dover.
    • Rosenblum, M.1
  • 34
    • 85020828609 scopus 로고
    • Mathematics of finite dimensional control systems: theory and design.
    • Russell, D. L. 1979 Mathematics of finite dimensional control systems: theory and design. New York: Marcell Dekker.
    • (1979) New York: Marcell Dekker.
    • Russell, D.L.1
  • 35
  • 38
    • 85020787268 scopus 로고
    • Invariant manifold theory for hydrodynamic transition.
    • Sritharan, S. S. 1990 Invariant manifold theory for hydrodynamic transition. New York: Wiley.
    • (1990) New York: Wiley.
    • Sritharan, S.S.1
  • 42
    • 85020837285 scopus 로고    scopus 로고
    • Sritharan, S. S. (ed.) Optimal control of viscous flow.
    • Sritharan, S. S. (ed.) 1998 Optimal control of viscous flow. Philadelphia, PA: SIAM.
    • (1998) Philadelphia, PA: SIAM.
  • 46
    • 33746420954 scopus 로고
    • Navier-Stokes equations: theory and numerical analysis.
    • Temam, R. 1984 Navier-Stokes equations: theory and numerical analysis. Amsterdam: North-Holland.
    • (1984) Amsterdam: North-Holland.
    • Temam, R.1
  • 50
    • 85020773838 scopus 로고
    • ∞-control for distributed parameter systems: a state-space approach.
    • ∞-control for distributed parameter systems: a state-space approach. Boston, MA: Birkhauser.
    • (1993) Boston, MA: Birkhauser.
    • Van Keulen, B.1
  • 52
    • 85020807619 scopus 로고
    • Calculus of variations and optimal control theory.
    • Young, L. C. 1980 Calculus of variations and optimal control theory. New York: Chelsea.
    • (1980) New York: Chelsea.
    • Young, L.C.1
  • 53
    • 0019559036 scopus 로고
    • Feedback and optimal sensitivity: model reference transformations, multiplicative seminorms and approximate inverses.
    • Zamcs, G. 1981 Feedback and optimal sensitivity: model reference transformations, multiplicative seminorms and approximate inverses. IEEE Trands Automatic Cont. 26, 301-320.
    • (1981) IEEE Trands Automatic Cont. 26, 301-320.
    • Zamcs, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.