메뉴 건너뛰기




Volumn 62, Issue 3, 2013, Pages 277-285

Convergent systems vs. incremental stability

Author keywords

Convergent systems; Converse Lyapunov result; Incremental stability; Time varying nonlinear systems

Indexed keywords

CONVERGENT SYSTEMS; CONVERSE LYAPUNOV RESULT; INCREMENTAL STABILITY; STABILITY CONCEPTS; STABILITY NOTION; TIME VARYING;

EID: 84872695485     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2012.11.015     Document Type: Article
Times cited : (101)

References (24)
  • 3
    • 0036493650 scopus 로고    scopus 로고
    • A Lyapunov approach to incremental stability properties
    • DOI 10.1109/9.989067, PII S0018928602028192
    • D. Angeli A Lyapunov approach to the incremental stability properties IEEE Trans. Automat. Control 47 3 2002 410 421 (Pubitemid 34536795)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.3 , pp. 410-421
    • Angeli, D.1
  • 4
    • 84860642649 scopus 로고    scopus 로고
    • Backstepping design for incremental stability
    • M. Zamani, and P. Tabuada Backstepping design for incremental stability IEEE Trans. Automat. Control 56 9 2011 2184 2189
    • (2011) IEEE Trans. Automat. Control , vol.56 , Issue.9 , pp. 2184-2189
    • Zamani, M.1    Tabuada, P.2
  • 6
    • 0242711994 scopus 로고
    • Matrix inequalities method in stability theory for nonlinear control systems: I. Absolute stability of forced vibrations
    • V.A. Yakubovich Matrix inequalities method in stability theory for nonlinear control systems: I. Absolute stability of forced vibrations Automat. Remote Control 7 1964 905 917
    • (1964) Automat. Remote Control , vol.7 , pp. 905-917
    • Yakubovich, V.A.1
  • 9
    • 33748713823 scopus 로고    scopus 로고
    • Synchronization of complex dynamical networks by the incremental ISS approach
    • DOI 10.1016/j.physa.2006.03.052, PII S0378437106003955
    • C. Cai, and G. Chen Synchronization of complex dynamical networks by the incremental ISS approach Physica A: Statistical and Theoretical Physics 371 2 2006 754 766 (Pubitemid 44397320)
    • (2006) Physica A: Statistical Mechanics and its Applications , vol.371 , Issue.2 , pp. 754-766
    • Cai, C.1    Chen, G.2
  • 10
    • 33947407698 scopus 로고    scopus 로고
    • Analysis of interconnected oscillators by dissipativity theory
    • DOI 10.1109/TAC.2006.890471
    • G.B. Stan, and R. Sepulchre Analysis of interconnected oscillators by dissipativity theory IEEE Trans. Automat. Control 52 2 2007 256 270 (Pubitemid 46444280)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.2 , pp. 256-270
    • Stan, G.-B.1    Sepulchre, R.2
  • 12
    • 34447135453 scopus 로고    scopus 로고
    • Frequency response functions for nonlinear convergent systems
    • A. Pavlov, N. van de Wouw, and H. Nijmeijer Frequency response functions for nonlinear convergent systems IEEE Trans. Automat. Control 52 6 2007 1154 1159
    • (2007) IEEE Trans. Automat. Control , vol.52 , Issue.6 , pp. 1154-1159
    • Pavlov, A.1    Van De Wouw, N.2    Nijmeijer, H.3
  • 13
    • 0003626635 scopus 로고    scopus 로고
    • 2nd ed. Ser. Texts in Applied Mathematics Springer New York
    • E.D. Sontag Mathematical Control Theory 2nd ed. Ser. Texts in Applied Mathematics vol. 6 1998 Springer New York
    • (1998) Mathematical Control Theory , vol.6
    • Sontag, E.D.1
  • 15
    • 0003423733 scopus 로고
    • Academic Press New York Translated from the Russian by Scripta Technica Inc., translation edited by Harry Herman
    • V.A. Pliss Nonlocal Problems of the Theory of Oscillations 1966 Academic Press New York Translated from the Russian by Scripta Technica Inc., translation edited by Harry Herman
    • (1966) Nonlocal Problems of the Theory of Oscillations
    • Pliss, V.A.1
  • 16
  • 17
    • 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 313 367 (Pubitemid 33006330)
    • (2000) ESAIM Control, Optimisation and Calculus of Variations , Issue.5 , pp. 313-367
    • Teel, A.R.1    Praly, L.2
  • 19
    • 0000682499 scopus 로고
    • Contributions to stability theory
    • J.L. Massera Contributions to stability theory Ann. of Math. (2) 64 1956 182 206
    • (1956) Ann. of Math. (2) , vol.64 , pp. 182-206
    • Massera, J.L.1
  • 20
    • 84944684931 scopus 로고
    • Viability tubes
    • Lecture Notes in Control and Information Sciences Springer Berlin
    • J.-P. Aubin Viability tubes Modelling and Adaptive Control, Sopron, 1986 Lecture Notes in Control and Information Sciences vol. 105 1988 Springer Berlin 27 47
    • (1988) Modelling and Adaptive Control, Sopron, 1986 , vol.105 , pp. 27-47
    • Aubin, J.-P.1
  • 22
    • 0029358183 scopus 로고
    • Changing supply functions in input/state stable systems
    • E.D. Sontag, and A. Teel Changing supply functions in input/state stable systems IEEE Trans. Automat. Control 40 8 1995 1476 1478
    • (1995) IEEE Trans. Automat. Control , vol.40 , Issue.8 , pp. 1476-1478
    • Sontag, E.D.1    Teel, A.2
  • 24
    • 0348241184 scopus 로고    scopus 로고
    • Comments on integral variants of ISS
    • PII S0167691198000036
    • E.D. Sontag Comments on integral variants of ISS Systems Control Lett. 34 1-2 1998 93 100 (Pubitemid 128449958)
    • (1998) Systems and Control Letters , vol.34 , Issue.1-2 , pp. 93-100
    • Sontag, E.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.