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Volumn 42, Issue 10, 2006, Pages 1663-1671

Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems

Author keywords

Input to state stability; Lyapunov function constructions; Time varying systems

Indexed keywords

CONTROL SYSTEMS; FUNCTIONS; NONLINEAR SYSTEMS; TIME VARYING NETWORKS;

EID: 33747781746     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.05.020     Document Type: Article
Times cited : (31)

References (13)
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  • 5
    • 0001018397 scopus 로고    scopus 로고
    • Asymptotic stability equals exponential stability, and ISS equals finite energy gain-if you twist your eyes
    • Grüne L., Sontag E.D., and Wirth F. Asymptotic stability equals exponential stability, and ISS equals finite energy gain-if you twist your eyes. Systems and Control Letters 38 2 (1999) 127-134
    • (1999) Systems and Control Letters , vol.38 , Issue.2 , pp. 127-134
    • Grüne, L.1    Sontag, E.D.2    Wirth, F.3
  • 8
    • 24944518812 scopus 로고    scopus 로고
    • Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems
    • Malisoff M., and Mazenc F. Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems. Automatica 41 11 (2005) 1973-1978
    • (2005) Automatica , vol.41 , Issue.11 , pp. 1973-1978
    • Malisoff, M.1    Mazenc, F.2
  • 9
    • 19944398467 scopus 로고    scopus 로고
    • Backstepping with bounded feedbacks for time-varying systems
    • Mazenc F., and Bowong S. Backstepping with bounded feedbacks for time-varying systems. SIAM Journal on Control and Optimization 43 3 (2004) 856-871
    • (2004) SIAM Journal on Control and Optimization , vol.43 , Issue.3 , pp. 856-871
    • Mazenc, F.1    Bowong, S.2
  • 10
    • 0005264460 scopus 로고    scopus 로고
    • Exponential stability of nonlinear time-varying differential equations and partial averaging
    • Peuteman J., and Aeyels D. Exponential stability of nonlinear time-varying differential equations and partial averaging. Mathematics of Control, Signals, and Systems 15 1 (2002) 42-70
    • (2002) Mathematics of Control, Signals, and Systems , vol.15 , Issue.1 , pp. 42-70
    • Peuteman, J.1    Aeyels, D.2
  • 11
    • 0024647058 scopus 로고
    • Smooth stabilization implies coprime factorization
    • Sontag E.D. Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control 34 4 (1989) 435-443
    • (1989) IEEE Transactions on Automatic Control , vol.34 , Issue.4 , pp. 435-443
    • Sontag, E.D.1
  • 12
    • 0348241184 scopus 로고    scopus 로고
    • Comments on integral variants of ISS
    • Sontag E.D. Comments on integral variants of ISS. Systems and Control Letters 34 1-2 (1998) 93-100
    • (1998) Systems and Control Letters , vol.34 , Issue.1-2 , pp. 93-100
    • Sontag, E.D.1
  • 13
    • 0029288045 scopus 로고
    • On characterizations of the input-to-state stability property
    • Sontag E.D., and Wang Y. On characterizations of the input-to-state stability property. Systems and Control Letters 24 5 (1995) 351-359
    • (1995) Systems and Control Letters , vol.24 , Issue.5 , pp. 351-359
    • Sontag, E.D.1    Wang, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.