메뉴 건너뛰기




Volumn , Issue , 2011, Pages 7404-7409

Control Lyapunov functions and stabilizability of compact sets for hybrid systems

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; HYBRID SYSTEMS; LYAPUNOV FUNCTIONS; STATE FEEDBACK;

EID: 84860676096     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2011.6161528     Document Type: Conference Paper
Times cited : (3)

References (29)
  • 2
    • 0024717674 scopus 로고
    • A 'universal' construction of artstein's theorem on nonlinear stabilization
    • E. D. Sontag. A 'universal' construction of artstein's theorem on nonlinear stabilization. System and Control Letters, 13:117-123, 1989.
    • (1989) System and Control Letters , vol.13 , pp. 117-123
    • Sontag, E.D.1
  • 5
    • 0346934041 scopus 로고    scopus 로고
    • CLF based designs with robustness to dynamic input uncertainties
    • M. Jankovic, R. Sepulchre, and P.V. Kokotovic. CLF based designs with robustness to dynamic input uncertainties. Systems and Control Letters, 37(1):45-54, 1999.
    • (1999) Systems and Control Letters , vol.37 , Issue.1 , pp. 45-54
    • Jankovic, M.1    Sepulchre, R.2    Kokotovic, P.V.3
  • 8
    • 17644411681 scopus 로고    scopus 로고
    • Stabilization of nonaffine systems: A constructive method for polynomial systems
    • IEEE Transactions on
    • E. Moulay and W. Perruquetti. Stabilization of nonaffine systems: A constructive method for polynomial systems. Automatic Control, IEEE Transactions on, 50(4):520-526, 2005.
    • (2005) Automatic Control , vol.50 , Issue.4 , pp. 520-526
    • Moulay, E.1    Perruquetti, W.2
  • 10
    • 0020749108 scopus 로고
    • A lyapunov-like characterization of asymptotic controllability
    • E. D. Sontag. A Lyapunov-like characterization of asymptotic controllability. SIAM Journal on Control and Optimization, 21:462-471, 1983.
    • (1983) SIAM Journal on Control and Optimization , vol.21 , pp. 462-471
    • Sontag, E.D.1
  • 11
    • 0004150438 scopus 로고
    • General classes of control-lyapunov functions
    • Centro Stefano Franscini, Ascona 1996
    • E.D. Sontag and H.J. Sussmann. General classes of control-Lyapunov functions. In Stability theory: Hurwitz Centenary Conference, Centro Stefano Franscini, Ascona, 1995, page 87. 1996.
    • (1995) Stability Theory: Hurwitz Centenary Conference , pp. 87
    • Sontag, E.D.1    Sussmann, H.J.2
  • 12
    • 0034433016 scopus 로고    scopus 로고
    • Existence of lipschitz and semiconcave control-lyapunov functions
    • L. Rifford. Existence of Lipschitz and semiconcave control-Lyapunov functions. SIAM Journal on Control and Optimization, 39(4):1043-1064, 2001.
    • (2001) SIAM Journal on Control and Optimization , vol.39 , Issue.4 , pp. 1043-1064
    • Rifford, L.1
  • 13
    • 0035690672 scopus 로고    scopus 로고
    • On the existence of non-smooth control lyapunov functions in the sense of generalized gradients
    • L. Rifford. On the existence of non-smooth control Lyapunov functions in the sense of generalized gradients. ESAIM Control Optim. Calc. Var, 6:593-611, 2001.
    • (2001) ESAIM Control Optim. Calc. Var , vol.6 , pp. 593-611
    • Rifford, L.1
  • 14
    • 3042769722 scopus 로고    scopus 로고
    • Weak converse lyapunov theorems and control-lyapunov functions
    • C.M. Kellett and A.R. Teel. Weak converse Lyapunov theorems and control-Lyapunov functions. SIAM journal on control and optimization, 42(6):1934-1959, 2004.
    • (2004) SIAM Journal on Control and Optimization , vol.42 , Issue.6 , pp. 1934-1959
    • Kellett, C.M.1    Teel, A.R.2
  • 15
    • 0343081544 scopus 로고    scopus 로고
    • Continuous control-lyapunov functions for asymptotically controllable time-varying systems
    • F. Albertini and ED Sontag. Continuous control-Lyapunov functions for asymptotically controllable time-varying systems. International Journal of Control, 72(18):1630-1641, 1999.
    • (1999) International Journal of Control , vol.72 , Issue.18 , pp. 1630-1641
    • Albertini, F.1    Sontag, E.D.2
  • 18
    • 40949165061 scopus 로고    scopus 로고
    • Constructions of strict lyapunov functions for discrete time and hybrid time-varying systems
    • M. Malisoff and F. Mazenc. Constructions of strict Lyapunov functions for discrete time and hybrid time-varying systems. Nonlinear Analysis: Hybrid Systems, 2(2):394-407, 2008.
    • (2008) Nonlinear Analysis: Hybrid Systems , vol.2 , Issue.2 , pp. 394-407
    • Malisoff, M.1    Mazenc, F.2
  • 19
    • 33144463923 scopus 로고    scopus 로고
    • Solutions to hybrid inclusions via set and graphical convergence with stability theory applications
    • R. Goebel and A.R. Teel. Solutions to hybrid inclusions via set and graphical convergence with stability theory applications. Automatica, 42(4):573-587, 2006.
    • (2006) Automatica , vol.42 , Issue.4 , pp. 573-587
    • Goebel, R.1    Teel, A.R.2
  • 21
    • 34547094110 scopus 로고    scopus 로고
    • Smooth lyapunov functions for hybrid systems - Part I: Existence is equivalent to robustness
    • July
    • C. Cai, A. R. Teel, and R. Goebel. Smooth Lyapunov functions for hybrid systems - Part I: Existence is equivalent to robustness. IEEE Transactions on Automatic Control, 52(7):1264-1277, July 2007.
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.7 , pp. 1264-1277
    • Cai, C.1    Teel, A.R.2    Goebel, R.3
  • 22
    • 42649113750 scopus 로고    scopus 로고
    • Smooth lyapunov functions for hybrid systems. Part II: (Pre) asymptotically stable compact sets
    • April
    • C. Cai, A.R. Teel, and R. Goebel. Smooth Lyapunov functions for hybrid systems. Part II: (Pre) Asymptotically stable compact sets. IEEE Transactions on Automatic Control, 53(3):734 - 748, April 2008.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , Issue.3 , pp. 734-748
    • Cai, C.1    Teel, A.R.2    Goebel, R.3
  • 23
    • 0001232090 scopus 로고
    • Continuous selections. I
    • E. Michael. Continuous selections. I. The Annals of Mathematics, 63(2):361-382, 1956.
    • (1956) The Annals of Mathematics , vol.63 , Issue.2 , pp. 361-382
    • Michael, E.1
  • 25
    • 0002585302 scopus 로고
    • On the inversion of ljapunov's second theorem on stability of motion
    • J. Kurzweil. On the inversion of Ljapunov's second theorem on stability of motion. Amer. Math. Soc. Trans. Ser. 2, 24:19-77, 1956.
    • (1956) Amer. Math. Soc. Trans. Ser. 2 , vol.24 , pp. 19-77
    • Kurzweil, J.1
  • 26
    • 0000682499 scopus 로고
    • Contributions to stability theory
    • J.L. Massera. Contributions to stability theory. The Annals of Mathematics, 64(1):182-206, 1956.
    • (1956) The Annals of Mathematics , vol.64 , Issue.1 , pp. 182-206
    • Massera, J.L.1
  • 29
    • 38149014566 scopus 로고    scopus 로고
    • Invariance principles for hybrid systems with connections to detectability and asymptotic stability
    • R.G. Sanfelice, R. Goebel, and A.R. Teel. Invariance principles for hybrid systems with connections to detectability and asymptotic stability. IEEE Transactions on Automatic Control, 52(12):2282-2297, 2007.
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.12 , pp. 2282-2297
    • Sanfelice, R.G.1    Goebel, R.2    Teel, A.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.