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Volumn 47, Issue 9, 2011, Pages 2088-2093

Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks

Author keywords

Dynamical networks; Input to state stability (ISS); Lyapunov functions; Small gain

Indexed keywords

CONTINUOUS TIME; DYNAMICAL NETWORKS; INPUT TO STATE STABLE; INPUT-TO-STATE STABILITY; ISS-LYAPUNOV FUNCTIONS; LYAPUNOV; SMALL-GAIN;

EID: 80052035782     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2011.06.018     Document Type: Article
Times cited : (150)

References (23)
  • 5
    • 77957358333 scopus 로고    scopus 로고
    • Small gain theorems for large scale systems and construction of ISS Lyapunov functions
    • S. Dashkovskiy, B.S. Rffer, and F.R. Wirth Small gain theorems for large scale systems and construction of ISS Lyapunov functions SIAM Journal on Control and Optimization 48 2010 4089 4118
    • (2010) SIAM Journal on Control and Optimization , vol.48 , pp. 4089-4118
    • Dashkovskiy, S.1    Rffer, B.S.2    Wirth, F.R.3
  • 8
    • 0026258791 scopus 로고
    • A generalization of the small-gain theorem for nonlinear feedback systems
    • D.J. Hill A generalization of the small-gain theorem for nonlinear feedback systems Automatica 27 1991 1043 1045
    • (1991) Automatica , vol.27 , pp. 1043-1045
    • Hill, D.J.1
  • 9
    • 70350342894 scopus 로고    scopus 로고
    • Necessary and sufficient small gain conditions for integral input-to-state stable systems: A Lyapunov perspective
    • H. Ito, and Z.P. Jiang Necessary and sufficient small gain conditions for integral input-to-state stable systems: a Lyapunov perspective IEEE Transactions on Automatic Control 54 2009 2389 2404
    • (2009) IEEE Transactions on Automatic Control , vol.54 , pp. 2389-2404
    • Ito, H.1    Jiang, Z.P.2
  • 10
    • 0030218302 scopus 로고    scopus 로고
    • A Lyapunov formulation of the nonlinear small-gain theorem for interconnected systems
    • Z.P. Jiang, I.M.Y. Mareels, and Y. Wang A Lyapunov formulation of the nonlinear small-gain theorem for interconnected systems Automatica 32 1996 1211 1214
    • (1996) Automatica , vol.32 , pp. 1211-1214
    • Jiang, Z.P.1    Mareels, I.M.Y.2    Wang, Y.3
  • 14
    • 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 Journal on Control and Optimization 34 1996 124 160 (Pubitemid 126562693)
    • (1996) SIAM Journal on Control and Optimization , vol.34 , Issue.1 , pp. 124-160
    • Lin, Y.1    Sontag, E.D.2    Wang, Y.3
  • 17
    • 0024647058 scopus 로고
    • Smooth stabilization implies coprime factorization
    • E.D. Sontag Smooth stabilization implies coprime factorization IEEE Transactions on Automatic Control 34 1989 435 443
    • (1989) IEEE Transactions on Automatic Control , vol.34 , pp. 435-443
    • Sontag, E.D.1
  • 18
  • 19
    • 0029288045 scopus 로고
    • On characterizations of the input-to-state stability property
    • E.D. Sontag, and Y. Wang On characterizations of the input-to-state stability property Systems & Control Letters 24 1995 351 359
    • (1995) Systems & Control Letters , vol.24 , pp. 351-359
    • Sontag, E.D.1    Wang, Y.2
  • 20
    • 0030244538 scopus 로고    scopus 로고
    • New characterizations of input-to-state stability
    • PII S0018928696067773
    • E.D. Sontag, and Y. Wang New characterizations of input-to-state stability IEEE Transactions on Automatic Control 41 1996 1283 1294 (Pubitemid 126768503)
    • (1996) IEEE Transactions on Automatic Control , vol.41 , Issue.9 , pp. 1283-1294
    • Sontag, E.D.1    Wang, Y.2
  • 22
    • 0030243148 scopus 로고    scopus 로고
    • A nonlinear small gain theorem for the analysis of control systems with saturation
    • PII S001892869606775X
    • A.R. Teel A nonlinear small gain theorem for the analysis of control systems with saturation IEEE Transactions on Automatic Control 41 1996 1256 1270 (Pubitemid 126768501)
    • (1996) IEEE Transactions on Automatic Control , vol.41 , Issue.9 , pp. 1256-1270
    • Teel, A.R.1
  • 23
    • 34250464350 scopus 로고
    • Dissipative dynamical systems, part I: General theory; Part II: Linear systems with quadratic supply rates
    • J.C. Willems Dissipative dynamical systems, part I: general theory; part II: linear systems with quadratic supply rates Archive for Rational Mechanics and Analysis 45 1972 321 393
    • (1972) Archive for Rational Mechanics and Analysis , vol.45 , pp. 321-393
    • Willems, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.