메뉴 건너뛰기




Volumn , Issue , 2007, Pages 3456-3461

Results on existence of smooth Lyapunov functions for (pre-)asymptotically stable hybrid systems with non-open basins of attraction

Author keywords

[No Author keywords available]

Indexed keywords

(MIN ,MAX ,+) FUNCTIONS; ASYMPTOTICALLY STABLE; BASIN OF ATTRACTION; BASINS OF ATTRACTION; COMPACT SETS; CONVERSE LYAPUNOV THEOREM; FEEDBACK CONTROL SYSTEMS (FCS); HYBRID SYSTEM (HS); INPUT TO STATE (ISS); LYAPUNOV; NATURAL GENERALIZATION; SMOOTH LYAPUNOV FUNCTION;

EID: 46449113216     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2007.4282563     Document Type: Conference Paper
Times cited : (7)

References (21)
  • 1
    • 23944504793 scopus 로고    scopus 로고
    • Converse Lyapunov theorems and robust asymptotic stability for hybrid systems
    • C. Cai, A.R. Teel, and R. Goebel. Converse Lyapunov theorems and robust asymptotic stability for hybrid systems. In Proc. 24th American Control Conf., pages 12-17, 2005.
    • (2005) Proc. 24th American Control Conf , pp. 12-17
    • Cai, C.1    Teel, A.R.2    Goebel, R.3
  • 2
    • 0002239179 scopus 로고    scopus 로고
    • Asymptotic stability and smooth Lyapunov functions
    • F.H. Clarke, Y.S. Ledyaev, and R.J. Stern. Asymptotic stability and smooth Lyapunov functions. J. Diff. Equations, 149( 1):69-114, 1998.
    • (1998) J. Diff. Equations , vol.149 , Issue.1 , pp. 69-114
    • Clarke, F.H.1    Ledyaev, Y.S.2    Stern, R.J.3
  • 4
    • 0026204666 scopus 로고
    • Adding an integrator for the stabilization problem
    • J.-M. Coron and L. Praly. Adding an integrator for the stabilization problem. Systems & Control Letters, 17(2):89-104, 1991.
    • (1991) Systems & Control Letters , vol.17 , Issue.2 , pp. 89-104
    • Coron, J.-M.1    Praly, L.2
  • 7
    • 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, 42:573-587, 2006.
    • (2006) Automatica , vol.42 , pp. 573-587
    • Goebel, R.1    Teel, A.R.2
  • 11
    • 0033097583 scopus 로고    scopus 로고
    • Stabilization of nonholonomic integrators via logic-based switching
    • J.P. Hespanha and A.S. Morse. Stabilization of nonholonomic integrators via logic-based switching. Automatica, 35(3):385-393, 1999.
    • (1999) Automatica , vol.35 , Issue.3 , pp. 385-393
    • Hespanha, J.P.1    Morse, A.S.2
  • 12
    • 84968512344 scopus 로고
    • Singular perturbations on the infinite interval
    • F.C. Hoppensteadt. Singular perturbations on the infinite interval. Trans. Amer. Math. Soc., 123:521-535, 1966.
    • (1966) Trans. Amer. Math. Soc , vol.123 , pp. 521-535
    • Hoppensteadt, F.C.1
  • 15
    • 10244242681 scopus 로고    scopus 로고
    • Global asymptotic controllability implies input-to-state stabilizationtems
    • M. Malisoff, L. Rifford, and E. Sontag. Global asymptotic controllability implies input-to-state stabilizationtems. SIAM Journal on Control & Optimization, 42(6):2221-2238, 2004.
    • (2004) SIAM Journal on Control & Optimization , vol.42 , Issue.6 , pp. 2221-2238
    • Malisoff, M.1    Rifford, L.2    Sontag, E.3
  • 16
    • 84906329012 scopus 로고
    • Design of stable control systems subject to parametric perturbations
    • A.M. Meilakhs. Design of stable control systems subject to parametric perturbations. Auto. & Remote Control, 39(10): 1409-1418, 1978.
    • (1978) Auto. & Remote Control , vol.39 , Issue.10 , pp. 1409-1418
    • Meilakhs, A.M.1
  • 17
    • 0242270733 scopus 로고    scopus 로고
    • Robust stabilization of chained systems via hybrid control
    • C. Prieur and A. Astolfi. Robust stabilization of chained systems via hybrid control. IEEE Transactions on Automatic Control, 48(10):1768-1772, 2003.
    • (2003) IEEE Transactions on Automatic Control , vol.48 , Issue.10 , pp. 1768-1772
    • Prieur, C.1    Astolfi, A.2
  • 18
    • 33745784418 scopus 로고    scopus 로고
    • Results on robust stabilization of asymptotically controllable systems by hybrid feedback
    • C. Prieur, R. Goebel, and A.R. Teel. Results on robust stabilization of asymptotically controllable systems by hybrid feedback. In Proc. 44th IEEE Conf. on Decision and Control, pages 2598-2603, 2005.
    • (2005) Proc. 44th IEEE Conf. on Decision and Control , pp. 2598-2603
    • Prieur, C.1    Goebel, R.2    Teel, A.R.3
  • 19
    • 0024647058 scopus 로고
    • Smooth stabilization implies coprime factorization
    • E. Sontag. Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control, 34:435-443, 1989.
    • (1989) IEEE Transactions on Automatic Control , vol.34 , pp. 435-443
    • Sontag, E.1
  • 20
    • 0034426073 scopus 로고    scopus 로고
    • A smooth Lyapunov function from a class-KL estimate involving two positive simidefinite functions
    • A.R. Teel and L. Praly. A smooth Lyapunov function from a class-KL estimate involving two positive simidefinite functions. ESAIM: Control, Optimisation and Calculus of Variations, 5:313-367, 2000.
    • (2000) ESAIM: Control, Optimisation and Calculus of Variations , vol.5 , pp. 313-367
    • Teel, A.R.1    Praly, L.2
  • 21
    • 0024865167 scopus 로고
    • Sufficient Lyapunov-like conditions for stabilization
    • J. Tsinias. Sufficient Lyapunov-like conditions for stabilization. Math. Control Signals Systems, 2(4):343-357, 1989.
    • (1989) Math. Control Signals Systems , vol.2 , Issue.4 , pp. 343-357
    • Tsinias, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.