메뉴 건너뛰기




Volumn 47, Issue 3, 2011, Pages 614-617

Stability analysis of nonlinear quadratic systems via polyhedral Lyapunov functions

Author keywords

Domain of attraction; LMIs optimization; Lyapunov stability; Nonlinear systems; Polyhedral functions; Quadratic systems

Indexed keywords

DOMAIN OF ATTRACTION; LMIS OPTIMIZATION; LYAPUNOV STABILITY; POLYHEDRAL FUNCTIONS; QUADRATIC SYSTEMS;

EID: 79952486335     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.12.005     Document Type: Article
Times cited : (39)

References (23)
  • 3
    • 36249026610 scopus 로고    scopus 로고
    • On the region of attraction of nonlinear quadratic systems
    • DOI 10.1016/j.automatica.2007.03.022, PII S0005109807002166
    • F. Amato, C. Cosentino, and A. Merola On the region of attraction of nonlinear quadratic systems Automatica 43 2007 2119 2123 (Pubitemid 350137266)
    • (2007) Automatica , vol.43 , Issue.12 , pp. 2119-2123
    • Amato, F.1    Cosentino, C.2    Merola, A.3
  • 5
    • 79961017746 scopus 로고    scopus 로고
    • Constrained stabilization of bilinear discrete-time systems using polyhedral Lyapunov functions
    • Seoul
    • Bitsoris, G., Athanasopoulos, A. (2008). Constrained stabilization of bilinear discrete-time systems using polyhedral Lyapunov functions. In Proc. of the 17th IFAC world congress, Seoul.
    • (2008) Proc. of the 17th IFAC World Congress
    • Bitsoris, G.1    Athanasopoulos, A.2
  • 7
    • 0029266878 scopus 로고
    • Nonquadratic Lyapunov functions for robust control
    • F. Blanchini Nonquadratic Lyapunov functions for robust control Automatica 31 3 1995 451 461
    • (1995) Automatica , vol.31 , Issue.3 , pp. 451-461
    • Blanchini, F.1
  • 9
    • 0019080199 scopus 로고
    • Constructive stability and asymptotic stability of dynamical systems
    • R.K. Brayton, and C.H. Tong Constructive stability and asymptotic stability of dynamical systems IEEE Transactions on Circuits and Systems 27 11 1980 11211130
    • (1980) IEEE Transactions on Circuits and Systems , vol.27 , Issue.11
    • Brayton, R.K.1    Tong, C.H.2
  • 10
    • 33847081714 scopus 로고    scopus 로고
    • Estimating the domain of attraction via union of continous families of lyapunov estimates
    • G. Chesi Estimating the domain of attraction via union of continous families of lyapunov estimates Systems and Control Letters 56 4 2007 326333
    • (2007) Systems and Control Letters , vol.56 , Issue.4
    • Chesi, G.1
  • 11
    • 67349196818 scopus 로고    scopus 로고
    • Estimating the domain of attraction for non-polynomial systems via LMI optimizations
    • G. Chesi Estimating the domain of attraction for non-polynomial systems via LMI optimizations Automatica 45 6 2009 1536 1541
    • (2009) Automatica , vol.45 , Issue.6 , pp. 1536-1541
    • Chesi, G.1
  • 12
    • 10844286528 scopus 로고    scopus 로고
    • LMI-based computation of optimal quadratic Lyapunov functions for odd polynomial systems
    • DOI 10.1002/rnc.967
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino LMI-based computation of optimal quadratic lyapunov functions for odd polynomial systems International Journal of Nonlinear and Robust Control 15 2005 35 49 (Pubitemid 40002575)
    • (2005) International Journal of Robust and Nonlinear Control , vol.15 , Issue.1 , pp. 35-49
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 16
    • 52049113671 scopus 로고    scopus 로고
    • An insight into tumor dormancy equilibrium via the analysis of its domain of attraction
    • A. Merola, F. Amato, and C. Cosentino An insight into tumor dormancy equilibrium via the analysis of its domain of attraction Biomedical Signal Processing and Control 3 2008 212 219
    • (2008) Biomedical Signal Processing and Control , vol.3 , pp. 212-219
    • Merola, A.1    Amato, F.2    Cosentino, C.3
  • 17
    • 0001740827 scopus 로고
    • Lyapunov functions specifying necessary and sufficient conditions of absolute stability of nonlinear nonstationary control system
    • A.P. Molchanov, and E.S. Pyatnitskii Lyapunov functions specifying necessary and sufficient conditions of absolute stability of nonlinear nonstationary control system Automation and Remote Control 47 1986
    • (1986) Automation and Remote Control , vol.47
    • Molchanov, A.P.1    Pyatnitskii, E.S.2
  • 19
    • 0004267646 scopus 로고
    • Princeton University Press Princeton, NJ
    • R.T. Rockafellar Convex analysis 1972 Princeton University Press Princeton, NJ
    • (1972) Convex Analysis
    • Rockafellar, R.T.1
  • 20
    • 24844441872 scopus 로고
    • Chaotic behavior in simple reaction system
    • O.E. Rssler Chaotic behavior in simple reaction system Zeitschrift für Naturforsch A 31 1976 259 264
    • (1976) Zeitschrift für Naturforsch A , vol.31 , pp. 259-264
    • Rssler, O.E.1
  • 21
    • 0030287556 scopus 로고    scopus 로고
    • On the stability domain estimation via a quadratic Lyapunov function: Convexity and optimality properties for polynomial systems
    • PII S0018928696075046
    • A. Tesi, F. Villoresi, and R. Genesio On the stability domain estimation via a quadratic Lyapunov function: convexity and optimality properties for polynomial systems IEEE Transactions on Automatic Control 41 1996 1650 1657 (Pubitemid 126769008)
    • (1996) IEEE Transactions on Automatic Control , vol.41 , Issue.11 , pp. 1650-1657
    • Tesi, A.1    Villoresi, F.2    Genesio, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.