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Volumn 41, Issue 11, 2005, Pages 1949-1956

Conjugate Lyapunov functions for saturated linear systems

Author keywords

Conjugate Lyapunov functions; Domain of attraction; Duality; Linear differential inclusions; Saturation

Indexed keywords

FUNCTIONS; LYAPUNOV METHODS; OPTIMIZATION; STABILITY;

EID: 24944522772     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2005.05.021     Document Type: Article
Times cited : (47)

References (21)
  • 3
    • 0029266878 scopus 로고
    • Nonquadratic Lyapunov functions for robust control
    • F. Blanchini Nonquadratic Lyapunov functions for robust control Automatica 31 1995 451 461
    • (1995) Automatica , vol.31 , pp. 451-461
    • Blanchini, F.1
  • 6
    • 0038372478 scopus 로고    scopus 로고
    • Homogeneous Lyapunov functions for systems with structured uncertainties
    • G. Chesi, A. Garulli, A. Tesi, and A. Vicino Homogeneous Lyapunov functions for systems with structured uncertainties Automatica 39 2003 1027 1035
    • (2003) Automatica , vol.39 , pp. 1027-1035
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 7
    • 0032625112 scopus 로고    scopus 로고
    • A converse Lyapunov theorem for a class of dynamical systems which undergo switching
    • W.P. Dayawansa, and C.F. Martin A converse Lyapunov theorem for a class of dynamical systems which undergo switching IEEE Transactions on Automatic Control 44 1999 751 760
    • (1999) IEEE Transactions on Automatic Control , vol.44 , pp. 751-760
    • Dayawansa, W.P.1    Martin, C.F.2
  • 8
    • 33847232133 scopus 로고    scopus 로고
    • Dual matrix inequalities in stability and performance analysis of linear differential/difference inclusions
    • Basel: Birkhauser, to appear
    • Goebel, R., Hu, T., Teel, A. R., 2005. Dual matrix inequalities in stability and performance analysis of linear differential/difference inclusions. In Current trends in nonlinear systems and control. Basel: Birkhauser, to appear.
    • (2005) Current Trends in Nonlinear Systems and Control
    • Goebel, R.1    Hu, T.2    Teel, A.R.3
  • 9
  • 11
    • 0037349314 scopus 로고    scopus 로고
    • Composite quadratic Lyapunov functions for constrained control systems
    • T. Hu, and Z. Lin Composite quadratic Lyapunov functions for constrained control systems IEEE Transactions on Automatic Control 48 2003 440 450
    • (2003) IEEE Transactions on Automatic Control , vol.48 , pp. 440-450
    • Hu, T.1    Lin, Z.2
  • 12
    • 0036466753 scopus 로고    scopus 로고
    • An analysis and design method for linear systems subject to actuator saturation and disturbance
    • T. Hu, Z. Lin, and B.M. Chen An analysis and design method for linear systems subject to actuator saturation and disturbance Automatica 38 2002 351 359
    • (2002) Automatica , vol.38 , pp. 351-359
    • Hu, T.1    Lin, Z.2    Chen, B.M.3
  • 13
    • 0037082850 scopus 로고    scopus 로고
    • Analysis and design for linear discrete-time systems subject to actuator saturation
    • T. Hu, Z. Lin, and B.M. Chen Analysis and design for linear discrete-time systems subject to actuator saturation Systems & Control Letters 45 2002 97 112
    • (2002) Systems & Control Letters , vol.45 , pp. 97-112
    • Hu, T.1    Lin, Z.2    Chen, B.M.3
  • 14
    • 0036990729 scopus 로고    scopus 로고
    • An LMI method to demonstrate simultaneous stability using non-quadratic polynomial Lyapunov functions
    • Las Vegas, NV
    • Jarvis-Wloszek, Z., Packard, A. K., 2002. An LMI method to demonstrate simultaneous stability using non-quadratic polynomial Lyapunov functions. Proceedings of the IEEE conference on decision and control (pp. 287-292), Las Vegas, NV.
    • (2002) Proceedings of the IEEE Conference on Decision and Control , pp. 287-292
    • Jarvis-Wloszek, Z.1    Packard, A.K.2
  • 15
    • 0032045898 scopus 로고    scopus 로고
    • Computation of piecewise quadratic Lyapunov functions for hybrid systems
    • M. Johansson, and A. Rantzer Computation of piecewise quadratic Lyapunov functions for hybrid systems IEEE Transactions on Automatic Control 43 1998 555 559
    • (1998) IEEE Transactions on Automatic Control , vol.43 , pp. 555-559
    • Johansson, M.1    Rantzer, A.2
  • 16
    • 0024702510 scopus 로고
    • Criteria of asymptotic stability of differential and difference inclusions encountered in control theory
    • A.P. Molchanov Criteria of asymptotic stability of differential and difference inclusions encountered in control theory Systems & Control Letters 13 1989 59 64
    • (1989) Systems & Control Letters , vol.13 , pp. 59-64
    • Molchanov, A.P.1
  • 18
    • 1842709560 scopus 로고
    • Improving the predictions of the circle criterion by combining quadratic forms
    • H.M. Power, and A.C. Tsoi Improving the predictions of the circle criterion by combining quadratic forms IEEE Transactions on Automatic Control 28 1973 65 67
    • (1973) IEEE Transactions on Automatic Control , vol.28 , pp. 65-67
    • Power, H.M.1    Tsoi, A.C.2
  • 19
    • 0004267646 scopus 로고
    • Princeton University Press Princeton, NJ
    • R.T. Rockafellar Convex analysis 1970 Princeton University Press Princeton, NJ
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 20
    • 0001360697 scopus 로고    scopus 로고
    • Piecewise Lyapunov functions for robust stability of linear time-varying systems
    • L. Xie, S. Shishkin, and M. Fu Piecewise Lyapunov functions for robust stability of linear time-varying systems Systems & Control Letters 31 1997 165 171
    • (1997) Systems & Control Letters , vol.31 , pp. 165-171
    • Xie, L.1    Shishkin, S.2    Fu, M.3
  • 21
    • 0028282375 scopus 로고
    • Non-quadratic Lyapunov functions for robust stability analysis of linear uncertain systems
    • A.L. Zelentsovsky Non-quadratic Lyapunov functions for robust stability analysis of linear uncertain systems IEEE Transactions on Automatic Control 39 1995 135 138
    • (1995) IEEE Transactions on Automatic Control , vol.39 , pp. 135-138
    • Zelentsovsky, A.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.