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Volumn 44, Issue 3, 2006, Pages 777-800

On the robustness of kl-stability for difference inclusions: Smooth discrete-time Lyapunov functions

Author keywords

Difference inclusions; Lyapunov functions; Robustness; Smoothing upper semicontinuous functions; Stability with respect to two measures

Indexed keywords

DIFFERENCE INCLUSIONS; LYAPUNOV FUNCTIONS; SMOOTHING UPPER-SEMICONTINUOUS FUNCTIONS; STABILITY WITH RESPECT TO TWO MEASURES;

EID: 33646561839     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012903435862     Document Type: Article
Times cited : (95)

References (24)
  • 6
    • 33646595162 scopus 로고    scopus 로고
    • Examples when model predictive control is nonrobust
    • submitted
    • G. GRIMM, M. MESSINA, A. R. TEEL, AND S. TUNA, Examples when model predictive control is nonrobust, Automatica, submitted.
    • Automatica
    • Grimm, G.1    Messina, M.2    Teel, A.R.3    Tuna, S.4
  • 7
    • 84968512344 scopus 로고
    • Singular perturbations on the infinite interval
    • F. C. HOPPENSTEADT, Singular perturbations on the infinite interval, Trans. Amer. Math. Soc., 123 (1966), pp. 521-535.
    • (1966) Trans. Amer. Math. Soc. , vol.123 , pp. 521-535
    • Hoppensteadt, F.C.1
  • 8
    • 0037079760 scopus 로고    scopus 로고
    • A converse Lyapunov theorem for discrete-time systems with disturbances
    • Z. JIANG AND Y. WANG, A converse Lyapunov theorem for discrete-time systems with disturbances, Systems Control Lett., 45 (2002), pp. 49-58.
    • (2002) Systems Control Lett. , vol.45 , pp. 49-58
    • Jiang, Z.1    Wang, Y.2
  • 11
    • 3042731389 scopus 로고    scopus 로고
    • Smooth Lyapunov functions and robustness of stability for difference inclusions
    • C. M. KELLETT AND A. R. TEEL, Smooth Lyapunov functions and robustness of stability for difference inclusions, Systems Control Lett., 52 (2004), pp. 395-405.
    • (2004) Systems Control Lett. , vol.52 , pp. 395-405
    • Kellett, C.M.1    Teel, A.R.2
  • 13
    • 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. Transl., Ser. 2, 24 (1956), pp. 19-77.
    • (1956) Amer. Math. Soc. Transl., Ser. , vol.2 , Issue.24 , pp. 19-77
    • Kurzweil, J.1
  • 14
    • 0003320442 scopus 로고
    • On Massera type converse theorem in terms of two different measures
    • V. LAKSHMIKANTHAM AND L. SALVADORI, On Massera type converse theorem in terms of two different measures, Boll. Unione Mat. Ital., 13 (1976), pp. 293-301.
    • (1976) Boll. Unione Mat. Ital. , vol.13 , pp. 293-301
    • Lakshmikantham, V.1    Salvadori, L.2
  • 15
    • 0029775547 scopus 로고    scopus 로고
    • A smooth converse Lyapunov theorem for robust stability
    • Y. LIN, E. D. SONTAG, AND Y. WANG, A smooth converse Lyapunov theorem for robust stability, SIAM J. Control Optim., 34 (1996), pp. 124-160.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 124-160
    • Lin, Y.1    Sontag, E.D.2    Wang, Y.3
  • 16
    • 0033876326 scopus 로고    scopus 로고
    • Constrained model predictive control-Stability and optimality
    • D. MAYNE, J. RAWLINGS, C. RAO, AND P. SCOKAERT, Constrained model predictive control-Stability and optimality, Automatica, 36 (2000), pp. 789-814.
    • (2000) Automatica , vol.36 , pp. 789-814
    • Mayne, D.1    Rawlings, J.2    Rao, C.3    Scokaert, P.4
  • 17
    • 33746127547 scopus 로고
    • Stability of processes with respect to two metrics
    • A. A. MOVCHAN, Stability of processes with respect to two metrics, J. Appl. Math. Mech., 24 (1960), pp. 1475-1740
    • (1960) J. Appl. Math. Mech. , vol.24 , pp. 1475-1740
    • Movchan, A.A.1
  • 19
    • 0000676927 scopus 로고    scopus 로고
    • Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations
    • D. NEŠIĆ, A. R. TEEL, AND P. V. KOKOTOVIĆ, Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations, Systems Control Lett., 38 (1999), pp. 259-270.
    • (1999) Systems Control Lett. , vol.38 , pp. 259-270
    • Nešić, D.1    Teel, A.R.2    Kokotović, P.V.3
  • 20
    • 0348241184 scopus 로고    scopus 로고
    • Comments on integral variants of ISS
    • E. D. SONTAG, Comments on integral variants of ISS, Systems Control Lett., 34 (1998), pp. 93-100.
    • (1998) Systems Control Lett. , vol.34 , pp. 93-100
    • Sontag, E.D.1
  • 21
    • 0034459031 scopus 로고    scopus 로고
    • Lyapunov characterizations of input to output stability
    • E. D. SONTAG AND Y. WANG, Lyapunov characterizations of input to output stability, SIAM J. Control Optim., 39 (2001), pp. 226-249.
    • (2001) SIAM J. Control Optim. , vol.39 , pp. 226-249
    • Sontag, E.D.1    Wang, Y.2
  • 23
    • 0034426073 scopus 로고    scopus 로고
    • A smooth Lyapunov function from a class-KL estimate involving two positive semidefinite functions
    • A. R. TEEL AND L. PRALY, A smooth Lyapunov function from a class-KL estimate involving two positive semidefinite functions, ESAIM Control Optim. Calc. Var., 5 (2000), pp. 313-367.
    • (2000) ESAIM Control Optim. Calc. Var. , vol.5 , pp. 313-367
    • Teel, A.R.1    Praly, L.2
  • 24
    • 84968514083 scopus 로고
    • Smoothing derivatives of functions and applications
    • F. W. WILSON, Smoothing derivatives of functions and applications, Trans. Amer. Math. Soc., 139 (1969), pp. 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.