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Volumn 52, Issue 5, 2004, Pages 395-405

Smooth Lyapunov functions and robustness of stability for difference inclusions

Author keywords

Converse Lyapunov theorem; Difference equations; Difference inclusions; Robust stability

Indexed keywords

CONTROL SYSTEMS; DIFFERENCE EQUATIONS; INCLUSIONS; MAPPING; MATHEMATICAL TECHNIQUES; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; THEOREM PROVING;

EID: 3042731389     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2004.02.015     Document Type: Article
Times cited : (114)

References (14)
  • 4
    • 0037079760 scopus 로고    scopus 로고
    • A converse Lyapunov theorem for discrete-time systems with disturbances
    • Jiang Z., Wang Y. A converse Lyapunov theorem for discrete-time systems with disturbances. Systems Control Lett. 45:2002;49-58.
    • (2002) Systems Control Lett. , vol.45 , pp. 49-58
    • Jiang, Z.1    Wang, Y.2
  • 6
    • 3042735019 scopus 로고    scopus 로고
    • Discrete-time asymptotic controllability implies smooth control-Lyapunov function
    • this issue
    • C.M. Kellett, A.R. Teel, Discrete-time asymptotic controllability implies smooth control-Lyapunov function, Systems Control Lett. 52 (2004) 349-359, this issue.
    • (2004) Systems Control Lett. , vol.52 , pp. 349-359
    • Kellett, C.M.1    Teel, A.R.2
  • 7
    • 0002585302 scopus 로고
    • On the inversion of Ljapunov's second theorem on stability of motion
    • Kurzweil J. On the inversion of Ljapunov's second theorem on stability of motion. Amer. Math. Soc. Transl. Ser. 2. 24:1956;19-77.
    • (1956) Amer. Math. Soc. Transl. Ser. 2 , vol.24 , pp. 19-77
    • Kurzweil, J.1
  • 8
    • 0029775547 scopus 로고    scopus 로고
    • A smooth converse Lyapunov theorem for robust stability
    • Lin Y., Sontag E.D., Wang Y. A smooth converse Lyapunov theorem for robust stability. SIAM J. Control Optim. 34:1996;124-160.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 124-160
    • Lin, Y.1    Sontag, E.D.2    Wang, Y.3
  • 9
    • 3843084016 scopus 로고    scopus 로고
    • A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models
    • in press
    • D. Nešić, A.R. Teel, A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models, IEEE Trans. Automat. Control, in press.
    • IEEE Trans. Automat. Control
    • Nešić, D.1    Teel, A.R.2
  • 10
    • 0000676927 scopus 로고    scopus 로고
    • Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations
    • Nešić D., Teel A.R., Kokotović P.V. Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations. Systems Control Lett. 38:1999;259-270.
    • (1999) Systems Control Lett. , vol.38 , pp. 259-270
    • Nešić, D.1    Teel, A.R.2    Kokotović, P.V.3
  • 11
    • 0348241184 scopus 로고    scopus 로고
    • Comments on integral variants of ISS
    • Sontag E.D. Comments on integral variants of ISS. Systems Control Lett. 34:1998;93-100.
    • (1998) Systems Control Lett. , vol.34 , pp. 93-100
    • Sontag, E.D.1
  • 13
    • 0034426073 scopus 로고    scopus 로고
    • A smooth Lyapunov function from a class- script K sign ℒ estimate involving two positive semidefinite functions
    • Teel A.R., Praly L. A smooth Lyapunov function from a class-. script K sign ℒ estimate involving two positive semidefinite functions ESAIM-Control Optim. Calculus Variations. 5:2000;313-367.
    • (2000) ESAIM-Control Optim. Calculus Variations , vol.5 , pp. 313-367
    • Teel, A.R.1    Praly, L.2
  • 14
    • 84968514083 scopus 로고
    • Smoothing derivatives of functions and applications
    • Wilson F.W. Smoothing derivatives of functions and applications. Trans. Amer. Math. Soc. 139:1969;413-428.
    • (1969) Trans. Amer. Math. Soc. , vol.139 , pp. 413-428
    • Wilson, F.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.