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Volumn 41, Issue 11, 2005, Pages 1973-1978

Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems

Author keywords

Input to state stabilization; Lyapunov functions; Non autonomous systems

Indexed keywords

FUNCTIONS; LYAPUNOV METHODS; NONLINEAR SYSTEMS; STABILITY;

EID: 24944518812     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2005.05.015     Document Type: Article
Times cited : (62)

References (23)
  • 1
    • 0033165467 scopus 로고    scopus 로고
    • Input-to-state stability of PD controlled robotic systems
    • D. Angeli Input-to-state stability of PD controlled robotic systems Automatica 35 7 1999 1285 1290
    • (1999) Automatica , vol.35 , Issue.7 , pp. 1285-1290
    • Angeli, D.1
  • 2
    • 0001080730 scopus 로고    scopus 로고
    • Robust stabilization of the angular velocity of a rigid body
    • A. Astolfi, and A. Rapaport Robust stabilization of the angular velocity of a rigid body Systems & Control Letters 34 5 1998 257 264
    • (1998) Systems & Control Letters , vol.34 , Issue.5 , pp. 257-264
    • Astolfi, A.1    Rapaport, A.2
  • 4
    • 0021411956 scopus 로고
    • Spacecraft attitude control and stabilization: Applications of geometric control theory to rigid body models
    • P. Crouch Spacecraft attitude control and stabilization: Applications of geometric control theory to rigid body models IEEE Transactions on Automatic Control 29 4 1984 321 331
    • (1984) IEEE Transactions on Automatic Control , vol.29 , Issue.4 , pp. 321-331
    • Crouch, P.1
  • 6
    • 0031186936 scopus 로고    scopus 로고
    • Tracking control of mobile robots: A case study in backstepping
    • Z.-P. Jiang, and H. Nijmeijer Tracking control of mobile robots: A case study in backstepping Automatica 33 7 1997 1393 1399
    • (1997) Automatica , vol.33 , Issue.7 , pp. 1393-1399
    • Jiang, Z.-P.1    Nijmeijer, H.2
  • 7
    • 0004178386 scopus 로고    scopus 로고
    • 3rd ed Prentice-Hall Englewood Cliffs, NJ
    • H. Khalil Nonlinear systems 3rd ed 2002 Prentice-Hall Englewood Cliffs, NJ
    • (2002) Nonlinear Systems
    • Khalil, H.1
  • 9
    • 0037119843 scopus 로고    scopus 로고
    • Uniform exponential stability of linear time-varying systems: Revisited
    • A. Loria, and E. Panteley Uniform exponential stability of linear time-varying systems: Revisited Systems & Control Letters 47 1 2002 13 24
    • (2002) Systems & Control Letters , vol.47 , Issue.1 , pp. 13-24
    • Loria, A.1    Panteley, E.2
  • 11
    • 14644386858 scopus 로고    scopus 로고
    • A nested Matrosov theorem and persistency of excitation for uniform convergence in stable nonautonomous systems
    • A. Loria, E. Panteley, D. Popovic, and A. Teel A nested Matrosov theorem and persistency of excitation for uniform convergence in stable nonautonomous systems IEEE Transactions on Automatic Control 50 2 2005 183 198
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.2 , pp. 183-198
    • Loria, A.1    Panteley, E.2    Popovic, D.3    Teel, A.4
  • 12
    • 0037293273 scopus 로고    scopus 로고
    • Strict Lyapunov functions for time-varying systems
    • F. Mazenc Strict Lyapunov functions for time-varying systems Automatica 39 2 2003 349 353
    • (2003) Automatica , vol.39 , Issue.2 , pp. 349-353
    • Mazenc, F.1
  • 13
    • 3042641747 scopus 로고    scopus 로고
    • Strong Lyapunov functions for systems satisfying the conditions of la salle
    • F. Mazenc, and D. Nesic Strong Lyapunov functions for systems satisfying the conditions of La salle IEEE Transactions on Automatic Control 49 6 2004 1026 1030
    • (2004) IEEE Transactions on Automatic Control , vol.49 , Issue.6 , pp. 1026-1030
    • Mazenc, F.1    Nesic, D.2
  • 14
    • 0034141025 scopus 로고    scopus 로고
    • Asymptotic tracking of a state reference for systems with a feedforward structure
    • F. Mazenc, and L. Praly Asymptotic tracking of a state reference for systems with a feedforward structure Automatica 36 2 2000 179 187
    • (2000) Automatica , vol.36 , Issue.2 , pp. 179-187
    • Mazenc, F.1    Praly, L.2
  • 15
    • 0031123345 scopus 로고    scopus 로고
    • Time-varying exponential stabilization of a rigid spacecraft with two controls
    • P. Morin, and C. Samson Time-varying exponential stabilization of a rigid spacecraft with two controls IEEE Transactions on Automatic Control 42 4 1997 528 534
    • (1997) IEEE Transactions on Automatic Control , vol.42 , Issue.4 , pp. 528-534
    • Morin, P.1    Samson, C.2
  • 16
    • 0029639622 scopus 로고
    • Time-varying feedback stabilization of the attitude of a rigid spacecraft with two controls
    • P. Morin, C. Samson, J.-B. Pomet, and Z.-P. Jiang Time-varying feedback stabilization of the attitude of a rigid spacecraft with two controls Systems & Control Letters 25 5 1995 375 385
    • (1995) Systems & Control Letters , vol.25 , Issue.5 , pp. 375-385
    • Morin, P.1    Samson, C.2    Pomet, J.-B.3    Jiang, Z.-P.4
  • 17
    • 0024647058 scopus 로고
    • Smooth stabilization implies coprime factorization
    • E. Sontag 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.1
  • 18
    • 0348241184 scopus 로고    scopus 로고
    • Comments on integral variants of ISS
    • E. Sontag Comments on integral variants of ISS Systems & Control Letters 34 1-2 1998 93 100
    • (1998) Systems & Control Letters , vol.34 , Issue.1-2 , pp. 93-100
    • Sontag, E.1
  • 20
    • 0000454435 scopus 로고    scopus 로고
    • The ISS philosophy as a unifying framework for stability-like behavior
    • London: Springer
    • Sontag, E., 2001. The ISS philosophy as a unifying framework for stability-like behavior. In Nonlinear control in the year 2000 (Vol. 2) (pp. 443-467). London: Springer.
    • (2001) Nonlinear Control in the Year 2000 , vol.2 , pp. 443-467
    • Sontag, E.1
  • 21
    • 0029358183 scopus 로고
    • Changing supply functions in input/state stable systems
    • E. Sontag, and A. Teel Changing supply functions in input/state stable systems IEEE Transactions on Automatic Control 40 8 1995 1476 1478
    • (1995) IEEE Transactions on Automatic Control , vol.40 , Issue.8 , pp. 1476-1478
    • Sontag, E.1    Teel, A.2
  • 22
    • 0029288045 scopus 로고
    • On characterizations of the input-to-state stability property
    • E. Sontag, and Y. Wang On characterizations of the input-to-state stability property Systems & Control Letters 24 5 1995 351 359
    • (1995) Systems & Control Letters , vol.24 , Issue.5 , pp. 351-359
    • Sontag, E.1    Wang, Y.2
  • 23
    • 0034426073 scopus 로고    scopus 로고
    • A smooth Lyapunov function from a class-script K sign ℒ estimate involving two positive semidefinite functions
    • A. Teel, and L. Praly A smooth Lyapunov function from a class-script K sign ℒ estimate involving two positive semidefinite functions ESAIM Control Optimization Calc. Var. 5 2000 313 367
    • (2000) ESAIM Control Optimization Calc. Var. , vol.5 , pp. 313-367
    • Teel, A.1    Praly, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.