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Volumn 88, Issue 7, 2000, Pages 1069-1082

Perspectives and results on the stability and stabilizability of hybrid systems

Author keywords

Hybrid systems; Linear matrix inequalities; Stability; Stabilizability; Switched systems

Indexed keywords


EID: 33646910241     PISSN: 00189219     EISSN: None     Source Type: Journal    
DOI: 10.1109/5.871309     Document Type: Article
Times cited : (1531)

References (112)
  • 1
    • 0032047505 scopus 로고    scopus 로고
    • Multiple Lyapunov functions and other analysis took for switched and hybrid systems
    • [11 M. S. Branicky, "Multiple Lyapunov functions and other analysis took for switched and hybrid systems." 'EEL Trans. Automat. Cotnr., vol. 43, no. 4. pp. 475-482, 1998.
    • (1998) 'EEL Trans. Automat. Cotnr. , vol.43 , Issue.4 , pp. 475-482
    • Branicky, M.S.1
  • 2
    • 0032050689 scopus 로고    scopus 로고
    • Stability theory for hybrid dynamical systems
    • H. Ye, A. N. Michel, and L. Hou, "Stability theory for hybrid dynamical systems." IEEE Trans. Automal. Conn:, vol. 43, no. 4, pp. 461-474, Apr. 1998.
    • (1998) IEEE Trans. Automal. Conn , vol.43 , Issue.4 , pp. 461-474
    • Ye, H.1    Michel, A.N.2    Hou, L.3
  • 3
    • 0033097304 scopus 로고    scopus 로고
    • Toward a stability theory of general hybrid dynamical systems
    • A. N. Michel and B. Hu, "Toward a stability theory of general hybrid dynamical systems," Automatica, vol. 35. pp. 371-384, 1999.
    • (1999) Automatica , vol.35 , pp. 371-384
    • Michel, A.N.1    Hu, B.2
  • 5
    • 0026403206 scopus 로고    scopus 로고
    • Asymptotic stability of -switched systems using Lyapunov-like functions, in
    • ."5] P. Peleties and R. A. DeCarlo, "Asymptotic stability of (-switched systems using Lyapunov-like functions," in Proc. 1991 American Control Canf., Boston, MA, 1991, pp. 1679-1684.
    • Proc. , vol.1991 , pp. 1679-1684
    • Peleties, P.1    Decarlo, R.A.2
  • 6
    • 39649089156 scopus 로고    scopus 로고
    • Stability of switched and hybrid systems: State of the art, in
    • [61 M. S. Branicky, "Stability of switched and hybrid systems: State of the art," in Proc. 36th IEEE Conf. Decision and Control, 1997, pp. 1208-1212.
    • Proc. , vol.36 , pp. 1208-1212
    • Branicky, M.S.1
  • 7
    • 33646917789 scopus 로고    scopus 로고
    • R. Alur.T. A. Henzinger, and E. D. SonUg, Eds. .Hybrid Systems 111: Verification and Control. Berlin, Germany: Springer-Verlag, 1996, Lecture Notes in Computer Science.
    • .Hybrid Systems , vol.111 , pp. 1996
    • Alur, R.1    Henzinger, T.A.2    Sonug, E.D.3
  • 8
    • 0032786193 scopus 로고    scopus 로고
    • Recent trends in the stability analysis of hybrid dy- Namicai systems
    • A. N. Michel. "Recent trends in the stability analysis of hybrid dy- namicai systems," IEEE Trans. Circuits Sist. J. vol. 46, no. 1, pp. 120-134, Jan. 1999.
    • (1999) IEEE Trans. Circuits Sist. J. , vol.46 , Issue.1 , pp. 120-134
    • Michel, A.N.1
  • 9
    • 0032625112 scopus 로고    scopus 로고
    • A converse Lyapunov theorem for a class of dynamical systems which undergo switching
    • W. P. Dayawansa and C. F. Martin. "A converse Lyapunov theorem for a class of dynamical systems which undergo switching," IEEE Trans. Automat. Cor.tr.. vol. 44, pp. 75i-760. 1999.
    • (1999) IEEE Trans. Automat. Cor.tr.. , vol.44 , pp. 75-760
    • Dayawansa, W.P.1    Martin, C.F.2
  • 10
    • 0028738799 scopus 로고
    • Stability of switched and hybrid systems
    • pp. 3498-3503.
    • [101 M. S. Branicky, "Stability of switched and hybrid systems." inPwc. 33rd IEEE Conf. Decision end Controi. Lake Buena Vista. FL. Dec. 14-16. 1994. pp. 3498-3503.
    • (1994) InPwc. , vol.33 , pp. 14-16
    • Branicky, M.S.1
  • 13
    • 33646917789 scopus 로고    scopus 로고
    • Examples of stabilisation with hybrid feedback. in
    • Z. Anstein. "Examples of stabilisation with hybrid feedback." in Hybrid Systems 111, R. Alur. T. A. Henzinger, and E. D. Sontag, Eds. New York: Springer. 1996, pp. l73-f85.
    • Hybrid Systems , vol.111 , pp. 1996
    • Anstein, Z.1
  • 16
    • 0032673688 scopus 로고    scopus 로고
    • Some qualitative properties of multirate digital control systems
    • B. Hu and A. N. Michel. "Some qualitative properties of multirate digital control systems," IEEE Trans. Automat. Conlr., vol. 44, Apr. 1999.
    • (1999) IEEE Trans. Automat. Conlr. , vol.44
    • Hu, B.1    Michel, A.N.2
  • 17
    • 0032297855 scopus 로고    scopus 로고
    • Stability analysis of systems with impulse effects
    • H. Ye, A. N. Michel, and L. Hou, "Stability analysis of systems with impulse effects," IEEE Trans. Automat. Conlr.. vol. 43, pp. 1719-1723, Dec. 1998.
    • (1998) IEEE Trans. Automat. Conlr.. , vol.43 , pp. 1719-1723
    • Ye, H.1    Michel, A.N.2    Hou, L.3
  • 18
    • 0001962599 scopus 로고
    • Stability of systems described by differential equations containing impulses
    • T. Paviidis, "Stability of systems described by differential equations containing impulses," IEEE Trans. Automat. Conlr.. vol. AC-12, pp. 43-45, Feb. 1967.
    • (1967) IEEE Trans. Automat. Conlr.. Vol. AC , vol.12 , pp. 43-45
    • Paviidis, T.1
  • 20
    • 0024685717 scopus 로고
    • Controllability and observability of hybrid systems
    • J. Ezzine and A. H. Haddad. "Controllability and observability of hybrid systems," Int. J. Control vol. 49, no. 6, pp. 2045-2055. June 1989.
    • (1989) Int. J. Control , vol.49 , Issue.6 , pp. 2045-2055
    • Ezzine, J.1    Haddad, A.H.2
  • 21
    • 33646945647 scopus 로고
    • Siaoiiization of nonholonomic integrators via logic-based switching
    • J. P. Hespanha and A. S. Morse. "Siaoiiization of nonholonomic integrators via logic-based switching." Aiitvmalica, voi. 35. pp. 3X5-393, 1980.
    • (1980) Aiitvmalica, Voi. , vol.35
    • Hespanha, J.P.1    Morse, A.S.2
  • 22
    • 0024113435 scopus 로고
    • Investigation of the stability of continuous discrete systems by I.yapunov's second method
    • A. T. Barabanov and Y. F. Siarozhilov. "Investigation of the stability of continuous discrete systems by I.yapunov's second method." Sov. J. Aulom. Inf. Sei., vol. 21. no. (,'. pp. 35-41, Nov.-Dec. 1988.
    • (1988) Sov. J. Aulom. Inf. Sei. , vol.21 , pp. 35-41
    • Barabanov, A.T.1    Siarozhilov, Y.F.2
  • 23
    • 0030391743 scopus 로고    scopus 로고
    • Some qualitative properties of sampled-data control systems, in fror. 35th
    • [23j L. Hou, A. N. Michel, and Y. Hui, "Some qualitative properties of sampled-data control systems," in fror. 35th IEEE Conf. Decision and Control. Kobe, Japan, Dec. 1996, pp. 911-916. Switched System Stability
    • IEEE Conf. Decision and Control. Kobe, Japan, Dec. , vol.1996 , pp. 911-916
    • Hou, L.1    Michel, A.N.2    Hui, Y.3
  • 26
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • D. Liberzon and A. S. Morse, "Basic problems in stability and design of switched systems," IEEE Conn: Syst. Mag., vol. 19, no. 5, pp. 59-70. Oct. 1999.
    • (1999) IEEE Conn: Syst. Mag. , vol.19 , Issue.5 , pp. 59-70
    • Liberzon, D.1    Morse, A.S.2
  • 27
    • 0031146490 scopus 로고    scopus 로고
    • Two conditions concerning common quadratic Lyapunov functions for linear systems
    • [271 T. Ooba and Y. Funahashi. "Two conditions concerning common quadratic Lyapunov functions for linear systems." IEEE Trans. Automat. Conn:, vol. 42, pp. 719-721. 1997.
    • (1997) IEEE Trans. Automat. Conn , vol.42 , pp. 719-721
    • Ooba, T.1    Funahashi, Y.2
  • 28
    • 0032279504 scopus 로고    scopus 로고
    • On the stability and existence of common Lyapunov functions for stable linear switching systems. in fror. 37th
    • [28[ S. N. Shorten and K. S. Narendra, "On the stability and existence of common Lyapunov functions for stable linear switching systems." in fror. 37th IEEE Conf. Decision and Control 1998. pp. 3723-3724.
    • IEEE Conf. Decision and Control , vol.1998
    • Shorten, S.N.1    Narendra, K.S.2
  • 29
    • 0033333358 scopus 로고    scopus 로고
    • Lie-algebraic conditions for exponential stability of switched systems. in
    • A. A. Agrachev and D. Liberzon, "Lie-algebraic conditions for exponential stability of switched systems." in P roc. of ! lie 38th Conf. Decision anclCor.lr;l. Phoenix. AZ. Dec. 1999, pp. 2679-2684.
    • P Roc. of ! Lie , vol.38 , pp. 2679-2684
    • Agrachev, A.A.1    Liberzon, D.2
  • 30
    • 0000174074 scopus 로고    scopus 로고
    • Switched controller synthesis for Ihe quadratic stabilization of a pair of unstable linear systems
    • M. Wicks, P. Peleties, and R. DeCarlo. "Switched controller synthesis for Ihe quadratic stabilization of a pair of unstable linear systems." Eu:: J. Conn:, vol. 4, pp 140-147. 1998.
    • (1998) Eu:: J. Conn , vol.4 , pp. 140-147
    • Wicks, M.1    Peleties, P.2    Decarlo, R.3
  • 31
    • 0023315161 scopus 로고    scopus 로고
    • Analysis of switching linear systems in the plane, Part I: Local behavior of trajectories and local cycle geometry. ,J
    • K. A. Loparo. J. T. Aslanis, and O. Hajek. "Analysis of switching linear systems in the plane, Part I: Local behavior of trajectories and local cycle geometry." ,J. Optiir.i:. Theory Appiica;.. vol. 52. no. 3. pp. 365-394. 19S7.
    • Optiir.i:. Theory Appiica;.. , vol.52 , Issue.3 , pp. 365-394
    • Loparo, K.A.1    Aslanis, J.T.2    Hajek, O.3
  • 32
    • 0023313990 scopus 로고
    • Analysis of switching linear systems in the plane. Part II: Global behavior of trajectories, controllability, and attainability,.J
    • , "Analysis of switching linear systems in the plane. Part II: Global behavior of trajectories, controllability, and attainability,".J. Optifii:. Theory Appcal.. vol. 52. no. 3. pp. 395-42. 1987.
    • (1987) Optifii:. Theory Appcal.. , vol.52 , Issue.3 , pp. 395-442
  • 33
    • 33646936624 scopus 로고    scopus 로고
    • Design of stabilizing control laws for second-order switched systems. in f cor
    • X. Xu and P. Antsakiis, "Design of stabilizing control laws for second-order switched systems." in f cor. I4tli IFAC World Congress, vol. C, Beijing. P.R.C.. 1999. pp. 181-186.
    • I , vol.4 , pp. 181-186
    • Xu, X.1    Antsakiis, P.2
  • 34
    • 0001793018 scopus 로고    scopus 로고
    • Robust stabilizing control law for a ciass of second-order switched systems
    • B. Hu, X. Xu. P. j. Antsaklis, and A. N". Michel. "Robust stabilizing control law for a ciass of second-order switched systems," Syst. Conf. Lett., vol. 38. pp. 197-207 1999.
    • (1999) Syst. Conf. Lett. , vol.38 , pp. 197-207
    • Hu, B.1    Xu, X.2    Antsaklis, P.3    Michel, A.N.4
  • 35
    • 0028757907 scopus 로고
    • Construction of piecewise Lyapunov functions for stabilizing switched systems. in
    • pp. 3492-3497.
    • M. A. Wicks. P. Peleties. and R. A. DeCarlu, "Construction of piecewise Lyapunov functions for stabilizing switched systems." in P roc. 33 nl IEEE Conf. Disici: and Cor.lroi. Lake Buena Vista. FL. Dec. 14_16, 1994, pp. 3492-3497.
    • (1994) P Roc. , vol.33 , pp. 14-16
    • Wicks, M.A.1    Peleties, P.2    Decarlu, R.A.3
  • 37
    • 0033285439 scopus 로고    scopus 로고
    • Lyapunov function normalization for controlled switching of hybrid systems. in
    • B. E. Bishop. "Lyapunov function normalization for controlled switching of hybrid systems." in Pwc. 1999 Amer. Control Conf., San Diego. CA. Dec. "1999.
    • (1999) Pwc. , vol.1999
    • Bishop, B.E.1
  • 39
    • 0028728038 scopus 로고
    • A common Lyapunov function for stable LTI systems with commuting A-matrices
    • [39J K. S. Narendrd and J. Baiakrishnan, "A common Lyapunov function for stable LTI systems with commuting A-matrices." IEEE Trims. Automat. Coiitr., pp. 2469-2471, 1994.
    • (1994) IEEE Trims. Automat. Coiitr., Pp. , vol.2469
    • Narendrd, J.K.S.1    Baiakrishnan, J.2
  • 40
    • 0000914485 scopus 로고    scopus 로고
    • Stability of switched systems: A Lie-algebraic condition. Sv.y.'
    • D. Lioerzon, J. P. Hespanha, and A. S. Morse, "Stability of switched systems: A Lie-algebraic condition." Sv.y.'. Cont;: Lett., vol. 37. no. 3, pp. 117-122. 1999.
    • (1999) Cont;: Lett. , vol.37 , Issue.3 , pp. 117-122
    • Lioerzon, D.1    Hespanha, J.P.2    Morse, A.S.3
  • 41
    • 33846998909 scopus 로고
    • Stability of discrete linear inclusions
    • L. Gurviis, "Stability of discrete linear inclusions." Lin. Alg. Appl.. vol. 231, pp. 47-85, 1995.
    • (1995) Lin. Alg. Appl.. , vol.231 , pp. 47-85
    • Gurviis, L.1
  • 42
    • 0033314314 scopus 로고    scopus 로고
    • Stability of switched systems with average dvvell-îirne, in
    • [421 J. Hespanha and A. S. Morse, "Stability of switched systems with average dvvell-îirne," in Proc. 38th Conf. Decision find Control. Phoenix, AZ, Dec. 1999. pp. 2655-2660.
    • Proc. , vol.38 , pp. 2655-2660
    • Hespanha, J.1    Morse, A.S.2
  • 43
    • 0030708299 scopus 로고    scopus 로고
    • Solution of coupled Lyapunov equations for the stabilization of multimodal linear systems, in
    • M. A. Wicks and R. A. DeCarlo "Solution of coupled Lyapunov equations for the stabilization of multimodal linear systems," in Proc. 1997 Amer. CojUrol Conf.. Albuquerque, N VI, June 1997, pp. 1709-1713.
    • Proc. , vol.1997 , pp. 1709-1713
    • Wicks, M.A.1    Decarlo, R.A.2
  • 44
    • 0032255578 scopus 로고    scopus 로고
    • On stability and passivity of a class of hybrid systems, in
    • A. Y. Pogromsky, VI. Jirstrand, and P. Spangeus, "On stability and passivity of a class of hybrid systems," in Proc. 37th IEEE Conf. Decision and Control. San Diego. CA. 1998. pp. 3705-3710.
    • Proc. , vol.37 , pp. 3705-3710
    • Pogromsky, A.Y.1    Jirstrand, V.I.2    Spangeus, P.3
  • 45
    • 0001360697 scopus 로고    scopus 로고
    • Piecewise Lyapunov functions for robust stability of linear time-varying systems
    • L. Xie, S. Shishkin. and M. Fu, "Piecewise Lyapunov functions for robust stability of linear time-varying systems," Syst. Contr. Lett., vol. 31. pp. 165-171. 1997.
    • (1997) Syst. Contr. Lett. , vol.31 , pp. 165-171
    • Xie, L.1    Shishkin, S.2    Fu, M.3
  • 46
    • 0002657105 scopus 로고    scopus 로고
    • Stabilizing a linear system with finite-state hybrid output feedback. in
    • D. Llberzon. "Stabilizing a linear system with finite-state hybrid output feedback." in Proc. 7ili IEEE Mediterranean Conf. Control and Automation. Haifa, Israel, 1999, pp. 176-183.
    • Proc. , vol.7 , pp. 176-183
    • Llberzon, D.1
  • 47
    • 0032715253 scopus 로고    scopus 로고
    • Robust output feedback stabiuzability via controller switching
    • A. V. Savkin, E. Skaridas, and R. J. Evans, "Robust output feedback stabiuzability via controller switching," Automatica, vol. 35, pp. 69-74. 1999.
    • (1999) Automatica , vol.35 , pp. 69-74
    • Savkin, A.V.1    Skaridas, E.2    Evans, R.J.3
  • 56
    • 0024882118 scopus 로고    scopus 로고
    • Hybrid dynamical systems. in
    • A. Gollu and P. O. Varaiya. "Hybrid dynamical systems." in P me. 2S:h IEEE Conf. Decision und Control. Tampa. FL. Dec. 19S9. pp. 2708-2712.
    • P Me. , vol.2 , pp. 2708-2712
    • Gollu, A.1    Varaiya, P.O.2
  • 58
    • 0033314140 scopus 로고    scopus 로고
    • Switched nonlinear control of a VSTOL aircraft, in
    • M. Oishi and C. 'lomlin, "Switched nonlinear control of a VSTOL aircraft," in Proc. 38th Conf. Decision and Control, Phoenix, AZ, Dec. 1999. pp. 2685-2690.
    • Proc. , vol.38 , pp. 2685-2690
    • Oishi, M.1    'Lomlin, C.2
  • 59
    • 0028576305 scopus 로고
    • Analysis of continuous switching systems: Theory and examples, in
    • pp. 3110-314.
    • [591 M. S. Branicky, "Analysis of continuous switching systems: Theory and examples," in Proc. Amer. Control Conf., Baltimore, .V1D, June 29-July 1, 1994. pp. 3110-314.
    • (1994) Proc. Amer. Control Conf., Baltimore, .V , vol.1 , pp. 29
    • Branicky, M.S.1
  • 60
    • 0026136156 scopus 로고
    • Nonlinear P-l controller design for switched mode dc-to-dc power converters
    • H.Sira-Ramirez, "Nonlinear P-l controller design for switched mode dc-to-dc power converters," IEEE Trans. Circuits Syst., vol. 38, no. 4. pp. 410-4i7, Apr. 1991.
    • (1991) IEEE Trans. Circuits Syst. , vol.38 , Issue.4 , pp. 410-447
    • Hsira-Ramirez1
  • 61
    • 0025637488 scopus 로고
    • Lyapunuv-based control for switcned power converters, in
    • Pari i (of 2).
    • S. R. Sanders and G. C. Verghese, "Lyapunuv-based control for switcned power converters," in Proc. 21st Anna. IEEE Power Electronics Specialists Conf. 'PESC'90i, San Antonio, TX, June 11-14, 1990, Pari i (of 2).
    • (1990) Proc. , vol.21 , pp. 11-14
    • Sanders, S.R.1    Verghese, G.C.2
  • 63
    • 84937999887 scopus 로고
    • A class of hybrid-state continuous-time dynamic systems
    • H. S. Witsenhausen, "A class of hybrid-state continuous-time dynamic systems," IEEE Trans. Automat. CoiUr., voi. AC-1 1, no. 2, pp. 161-167, 1966.
    • (1966) IEEE Trans. Automat. CoiUr., Voi. AC , vol.11 , Issue.2 , pp. 161-167
    • Witsenhausen, H.S.1
  • 64
    • 0000829463 scopus 로고    scopus 로고
    • Differential automata and their discrete simulators
    • [641 L. Taverr.ini, "Differential automata and their discrete simulators," Nonlinear Anai.. Theory, Methods, AppL, vol. 11, no. 6, pp. 665-683, ,987.
    • Nonlinear Anai.. Theory, Methods, AppL , vol.11 , Issue.6 , pp. 665-683
    • Taverr.ini, L.1
  • 65
    • 33646938500 scopus 로고    scopus 로고
    • Modeling of interacting continuous time and discrete event systems: An example,' in
    • P. Peieues and R. DeCarlo, "Modeling of interacting continuous time and discrete event systems: An example,' in Proc. 26th Anna. Allerton Conf., Sept. 1988, pp. 1150-1159.
    • Proc. , vol.26 , pp. 150-1159
    • Peieues, P.1    Decarlo, R.2
  • 66
    • 33646903021 scopus 로고    scopus 로고
    • A modeling strategy for discrete event supervisory control of continuous time systems, in
    • , "A modeling strategy for discrete event supervisory control of continuous time systems," in P me. 28th IEEE Conf. Decision ami Control, Dec. 1989, pp. 1308-1313.
    • P Me. , vol.28 , pp. 1989
  • 67
    • 0141709121 scopus 로고
    • A modeling stratcg for hybrid systems based on event structures
    • "A modeling stratcg) for hybrid systems based on event structures," Discrete Even! Dynamic Sysi.. vol. 3, pp. 39-69, 1993.
    • (1993) Discrete Even! Dynamic Sysi.. , vol.3 , pp. 39-69
  • 68
    • 0028499336 scopus 로고
    • Analysis of a hybrid system using symbolic dynamics and pétri nets
    • "Analysis of a hybrid system using symbolic dynamics and pétri nets," Autoimitica, vol. 30, no. 9, pp. 1421-1427, Sept. 1994.
    • (1994) Autoimitica , vol.30 , Issue.9 , pp. 1421-1427
  • 69
    • 0030161807 scopus 로고    scopus 로고
    • A logical DES approach to the design of hybrid control systems
    • Special Issue on Discrete Event Systems. |70J P. J. Antsaklis, j. A. Stiver, and M. D. Lemmon, Hybrid system modeling and autonomous control systems, in Hybrid Systems. New York: Springer-Verlag, 1993, pp. 366-392.
    • .1. A. Stiver, P. J. Antsaklis, and M. D. Lemmon, "A logical DES approach to the design of hybrid control systems," Mathematical and Computer Modeling, vol. 23, no. 11/12, pp. 55-76, June 1996. (Special Issue on Discrete Event Systems). |70J P. J. Antsaklis, j. A. Stiver, and M. D. Lemmon, "Hybrid system modeling and autonomous control systems," in Hybrid Systems. New York: Springer-Verlag, 1993, pp. 366-392.
    • (1996) Mathematical and Computer Modeling , vol.23 , Issue.1 , pp. 55-76
    • Stiver, A.1    Antsaklis, P.J.2    Lemmon, M.D.3
  • 70
    • 0000050873 scopus 로고    scopus 로고
    • Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems, in
    • [71J R. Alur, C. Courcoubetis, T. A. Henzingcr, and P.-H. Ho, Eds., "Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems," in Workshop on Theory of Hybrid Systems. Lyngby, Denmark, 1992, vol. 736, Lecture Notes in Computer Science, pp. 209-229.
    • Workshop on Theory of Hybrid Systems. Lyngby, Denmark , vol.1992 , pp. 209-229
    • Alur, J.R.1    Courcoubetis, C.2    Henzingcr, T.A.3    Ho, P.-H.4
  • 72
    • 33646946786 scopus 로고    scopus 로고
    • Models for hybrid systems: Automata, topologies, controllability, observability, in
    • A. Nerode and W. Kohn, "Models for hybrid systems: Automata, topologies, controllability, observability," in Hybrid Systems. New York: Springer-Verlag. 1993, pp. 317-350.
    • Hybrid Systems. New York: Springer-Verlag. , vol.1993
    • Nerode, A.1    Kohn, W.2
  • 74
    • 0031701911 scopus 로고    scopus 로고
    • A unified framework for hybrid control: Model and optima! control theory
    • M. S. Branicky. V. S. Borkar, and S. K. Mitter, "A unified framework for hybrid control: Model and optima! control theory," IEEE Trcms. Automat. Contr., vol. 43, no. 1, pp. 31-45, 1998.
    • (1998) IEEE Trcms. Automat. Contr. , vol.43 , Issue.1 , pp. 31-45
    • Branicky, M.S.1    Borkar, V.S.2    Mitter, S.K.3
  • 76
    • 33646942463 scopus 로고    scopus 로고
    • Hybrid modeling focused on hybrid petri nets. in
    • S. Pettersson and B. Lennartsoa. "Hybrid modeling focused on hybrid petri nets." in Proc. 2nd Ein: Workshop Real-Time and Hybrid Systems, Grenoble, France, June 1995. pp. 303-309.
    • Proc. , vol.2 , pp. 1995
    • Pettersson, S.1    Lennartsoa, B.2
  • 79
    • 0032045898 scopus 로고    scopus 로고
    • Computation of piecewise quadratic Lyapunov functions for hybrid svstems
    • M. Johansson and A. Rantzer, "Computation of piecewise quadratic Lyapunov functions for hybrid svstems," IEEE Trans. Automat. Contr.. vol. 43. no. 4. pp. 555-559. 1998.
    • (1998) IEEE Trans. Automat. Contr.. , vol.43 , Issue.4 , pp. 555-559
    • Johansson, M.1    Rantzer, A.2
  • 81
    • 33646927006 scopus 로고    scopus 로고
    • Computation of piecewise quadratic L+~ npunov functions for hybrid systems,'' in
    • "Computation of piecewise quadratic Lnpunov functions for hybrid systems,'' in Pmc. 4th Eur. Ctn:t~. ConJ., Brussels, Belgium, 1997.
    • (1997) Pmc. , vol.4
  • 83
    • 0030686096 scopus 로고    scopus 로고
    • LM1 for stability and robustness of hybrid systems, in
    • "LM1 for stability and robustness of hybrid systems," in Pmc. Anifi: Control Conf., Albuquerque, NM, 1997, pp. 1714-17 18.
    • Pmc. Anifi: Control Conf., Albuquerque, NM , vol.1997 , pp. 1714-1718
  • 84
    • 0031348046 scopus 로고    scopus 로고
    • Exponential stability analysis of nonlinear systems using LMIs, in
    • "Exponential stability analysis of nonlinear systems using LMIs," in Proc. 36:h IEEE Conf. Decision and Control. San Diego, CA, 1997. pp. 199-204,
    • Proc. , vol.36 , pp. 199-204
  • 85
    • 33646931536 scopus 로고    scopus 로고
    • Exponential stability of hybrid systems using piccewise quadratic Lyapunov functions resulting in an LM1 problem, in
    • - . "Exponential stability of hybrid systems using piccewise quadratic Lyapunov functions resulting in an LM1 problem," in Proc. 14ti. IFAC Work! Congress, Beijing, China, July 1999.
    • (1999) Proc. , vol.14
  • 94
    • 0028497846 scopus 로고
    • Lyapunov stability cf nonsmooth systems
    • [95[ D. Shcvitz and B. Paden, "Lyapunov stability cf nonsmooth systems," IEEE Trans. Automat. Court-., vol. 39. no. 9, pp. 181-191, 1994.
    • (1994) IEEE Trans. Automat. Court-. , vol.39 , Issue.9 , pp. 181-191
    • Shcvitz, D.1    Paden, B.2
  • 97
    • 0024702510 scopus 로고
    • Criteria of absolute stability of differential and difference inclusions encountered in control theory
    • A. D. Molchanov and Y. S. Pyatnttsky, "Criteria of absolute stability of differential and difference inclusions encountered in control theory." Syst. Contr. Lett., vol. 13, pp. 59-64, 1989.
    • (1989) Syst. Contr. Lett. , vol.13 , pp. 59-64
    • Molchanov, A.D.1    Pyatnttsky, Y.S.2
  • 98
    • 0031272805 scopus 로고    scopus 로고
    • NP-hardness of some linear control design problems
    • V. Blonde 1 and J. Tsiîsiklis, "NP-hardness of some linear control design problems," SIAM J. Contr. Optimi:., vol. 35, no. 6, pp. 2118-2127,1997.
    • SIAM J. Contr. Optimi:. , vol.35 , Issue.6
    • Blonde, V.1    Tsiîsiklis, J.2
  • 99
    • 0033100637 scopus 로고    scopus 로고
    • Complexity of stability and controllability of elementary hybrid systems
    • V. D. Blondeland J. N. Tsiîsiklis, "Complexity of stability and controllability of elementary hybrid systems," Aulomatica. vol. 35, no. 3, pp. 47989, Mar. 1999,
    • (1999) Aulomatica. , vol.35 , Issue.3 , pp. 479
    • Blondeland, V.D.1    Tsiîsiklis, J.N.2
  • 100
    • 0033329356 scopus 로고    scopus 로고
    • Optimal Control of Hybrid Systems, in
    • S. Hedlund and A. Rantzer, "Optimal Control of Hybrid Systems," in Proc. 1999 IEEE Conf. Decision and Control, Phoenix, AZ, Dec. 1999.
    • (1999) Proc. , vol.1999
    • Hedlund, S.1    Rantzer, A.2
  • 101
    • 0010971642 scopus 로고    scopus 로고
    • Performance benefits of hybrid control design for linear and nonlinear systems, in
    • N. H. McClamroch and I. Kotrnanovsky, "Performance benefits of hybrid control design for linear and nonlinear systems," in Proceedings of she IEEE, vol. 88. July 2000, pp. XXX-XXX.
    • Proceedings of She IEEE , vol.88 , pp. 2000
    • McClamroch, N.H.1    Kotrnanovsky, I.2
  • 103
    • 0027206278 scopus 로고
    • Periodicity and chaos from switched flow systems: Contrasting examples of discretely controlled continuous systems
    • C. Chase, J. Serrano, and P. J. Ramadge, "Periodicity and chaos from switched flow systems: Contrasting examples of discretely controlled continuous systems," IEEE Trans. Automat. Contr., vol. 38, no. 1. pp. 70-83, 1993.
    • (1993) IEEE Trans. Automat. Contr. , vol.38 , Issue.1 , pp. 70-83
    • Chase, C.1    Serrano, J.2    Ramadge, P.J.3
  • 105
    • 0033307015 scopus 로고    scopus 로고
    • Quantized sampled-data feedback stabilization foriinear and nonlinear control systems, in
    • B. Hu, Z. Fcng. and A. N. Michel, "Quantized sampled-data feedback stabilization foriinear and nonlinear control systems," in Proc. 38th IEEE Conf. Decision and Contre,!, Phoenix, AZ, 1999, pp. 4392-4397.
    • Proc. , vol.38 , pp. 1999
    • Hu, B.1    Fcng, Z.2    Michel, A.N.3
  • 109
    • 0031519845 scopus 로고    scopus 로고
    • Convergence of polynomially bounded semigroups of matrices
    • L. Gurvits and L. Rodman, "Convergence of polynomially bounded semigroups of matrices," SI AM .!. Matrix Anal. Aonlicat., vol. 18, no. 2. pp. 360-368, 1997.
    • (1997) SI AM .!. Matrix Anal. Aonlicat. , vol.18 , Issue.2 , pp. 360-368
    • Gurvits, L.1    Rodman, L.2
  • 110
    • 33646932166 scopus 로고    scopus 로고
    • On the algorithmic imsolvability of some stability problems for discrete event systems, in
    • [Hi] O. Toker, "On the algorithmic imsolvability of some stability problems for discrete event systems," in Proc. IFAC World Congress, San Francisco, CA, 1996, pp. 353-358.
    • Proc. IFAC World Congress, San Francisco, CA , vol.353
    • Toker, H.O.1
  • 111
    • 0029637353 scopus 로고
    • Universal computation and other capabilities of hybrid and continuous dynamical systems,''
    • I. S. Branicky, "Universal computation and other capabilities of hybrid and continuous dynamical systems,'' Theoret. Coniput. Sei.. vol. 138, no. 1, pp. 67-100, 1995.
    • (1995) Theoret. Coniput. Sei.. , vol.138 , Issue.1 , pp. 67-100
    • Branicky, I.S.1
  • 112
    • 33646926163 scopus 로고    scopus 로고
    • [ 113j W. .1. Rugh, Linear System Theory, 2nd ed. Englewood Cliffs. NJ: Premice-Hall, 1996.
    • (1996) Linear System Theory , vol.2
    • Rugh, W.1


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