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Volumn , Issue , 2006, Pages 113-118

On several composite quadratic Lyapunov functions for switched systems

Author keywords

BMI; Composite quadratic functions; Sliding mode; Stabilization; Switched system

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; SWITCHING; SYSTEM STABILITY;

EID: 39649107536     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.377788     Document Type: Conference Paper
Times cited : (17)

References (25)
  • 1
    • 39649089156 scopus 로고    scopus 로고
    • Stability of switched and hybrid systems: State of the art
    • M. S. Branicky, "Stability of switched and hybrid systems: State of the art," Proc. IEEE Conf. Decision and Control, pp. 1208-1212, 1997.
    • (1997) Proc. IEEE Conf. Decision and Control , pp. 1208-1212
    • Branicky, M.S.1
  • 2
    • 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, pp. 1027-1035, 2003.
    • (2003) Automatica , vol.39 , pp. 1027-1035
    • Chesi, G.1    Garulli, A.2    Tesi, A.3    Vicino, A.4
  • 3
    • 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 Trans. on Automat. Contr, 44, No. 4, pp. 751-760, 1999.
    • (1999) IEEE Trans. on Automat. Contr , vol.44 , Issue.4 , pp. 751-760
    • Dayawansa, W.P.1    Martin, C.F.2
  • 4
    • 33646910241 scopus 로고    scopus 로고
    • Perspec-tives and results on the stability and stabilizability of hybrid systems
    • Decarlo, R.A. Branicky, M.S. Pettersson, S. Lennartson, B., "Perspec-tives and results on the stability and stabilizability of hybrid systems," Proceedings of the IEEE, 88(7), pp. 1069-1082, 2000.
    • (2000) Proceedings of the IEEE , vol.88 , Issue.7 , pp. 1069-1082
    • Decarlo, R.A.1    Branicky, M.S.2    Pettersson, S.3    Lennartson, B.4
  • 5
    • 0003587963 scopus 로고    scopus 로고
    • Quadratic stabilizability of switched systems via state and output feedback
    • Center for Intelligent Control Systems, MIT, Tech. Rep. CICS P-468
    • E. Feron, "Quadratic stabilizability of switched systems via state and output feedback," Center for Intelligent Control Systems, MIT, Tech. Rep. CICS P-468, 1996.
    • (1996)
    • Feron, E.1
  • 7
    • 33847232133 scopus 로고    scopus 로고
    • Dual matrix inequalities in stability and performance analysis of linear differential/difference inclusions
    • Birkhauser
    • R. Goebel, T. Hu and A. R. Teel, "Dual matrix inequalities in stability and performance analysis of linear differential/difference inclusions," In Current Trends in Nonlinear Systems and Control. Birkhauser, 2005.
    • (2005) Current Trends in Nonlinear Systems and Control
    • Goebel, R.1    Hu, T.2    Teel, A.R.3
  • 8
    • 33645847854 scopus 로고    scopus 로고
    • Conjugate convex Lyapunov functions for dual linear differential equations
    • R. Goebel, A. R. Teel, T. Hu and Z. Lin, "Conjugate convex Lyapunov functions for dual linear differential equations," IEEE Transactions on Automatic Control, 51(4), pp. 661-666, 2006.
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.4 , pp. 661-666
    • Goebel, R.1    Teel, A.R.2    Hu, T.3    Lin, Z.4
  • 9
    • 0033283467 scopus 로고    scopus 로고
    • A path-following method for solving BMI problems in control
    • A. Hassibi, J. How and S. Boyd, "A path-following method for solving BMI problems in control," Proc. of American Contr. Conf, pp. 1385-1389, 1999.
    • (1999) Proc. of American Contr. Conf , pp. 1385-1389
    • Hassibi, A.1    How, J.2    Boyd, S.3
  • 10
    • 0001793018 scopus 로고    scopus 로고
    • Robust stabilizing control laws for a class of second-order switched systems
    • B. Hu, X. Xu, A. N. Michel, P. J. Antsaklis, "Robust stabilizing control laws for a class of second-order switched systems," Systems & Control Letters, 38, pp. 197-207, 1999.
    • (1999) Systems & Control Letters , vol.38 , pp. 197-207
    • Hu, B.1    Xu, X.2    Michel, A.N.3    Antsaklis, P.J.4
  • 11
    • 0037145125 scopus 로고    scopus 로고
    • Common quadratic Lyapunov-like functions with associated switching regions for two unstable secondorder LTI systems
    • B. Hu, G. Zhai and A. N. Michel, "Common quadratic Lyapunov-like functions with associated switching regions for two unstable secondorder LTI systems Int. J. of Control, 75(14), pp. 1127-1135, 2002.
    • (2002) Int. J. of Control , vol.75 , Issue.14 , pp. 1127-1135
    • Hu, B.1    Zhai, G.2    Michel, A.N.3
  • 12
    • 24944522772 scopus 로고    scopus 로고
    • Conjugate Lyapunov functions for saturated linear systems
    • T. Hu, R. Goebel, A. R. Teel and Z. Lin, "Conjugate Lyapunov functions for saturated linear systems," Automatica, 41(11), pp. 1949-1956, 2005.
    • (2005) Automatica , vol.41 , Issue.11 , pp. 1949-1956
    • Hu, T.1    Goebel, R.2    Teel, A.R.3    Lin, Z.4
  • 13
    • 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 Trans. on Automatic Control, 48, pp. 440-450, 2003.
    • (2003) IEEE Trans. on Automatic Control , vol.48 , pp. 440-450
    • Hu, T.1    Lin, Z.2
  • 14
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design os switched systems
    • D. Liberzon and A. S. Morse, "Basic problems in stability and design os switched systems," IEEE Contr. Sys. Mag., 19(5), pp. 59-70, 1999.
    • (1999) IEEE Contr. Sys. Mag , vol.19 , Issue.5 , pp. 59-70
    • Liberzon, D.1    Morse, A.S.2
  • 15
    • 33745217876 scopus 로고    scopus 로고
    • Stability and stabilizability of switched linear systems: A short survey of recent results
    • Limassol, Cyprus
    • H. Lin and P. Antsaklis, "Stability and stabilizability of switched linear systems: a short survey of recent results," Proc. of the 2005 IEEE Int. Sym. on Intelligent control, pp. 24-29, Limassol, Cyprus, 2005.
    • (2005) Proc. of the 2005 IEEE Int. Sym. on Intelligent control , pp. 24-29
    • Lin, H.1    Antsaklis, P.2
  • 16
    • 0032786193 scopus 로고    scopus 로고
    • Recent trends in the stability analysis of hybrid dynamical systems
    • A. N. Michel, "Recent trends in the stability analysis of hybrid dynamical systems," IEEE Trans. Circuits Systems I, 46, pp. 120-134, 1999.
    • (1999) IEEE Trans. Circuits Systems I , vol.46 , pp. 120-134
    • Michel, A.N.1
  • 17
    • 8744282419 scopus 로고    scopus 로고
    • Controller design of switched linear systems
    • Pettersson, S., "Controller design of switched linear systems," Ameri-can Control Conf, pp. 3869-3874, 2004.
    • (2004) Ameri-can Control Conf , pp. 3869-3874
    • Pettersson, S.1
  • 19
    • 0017478092 scopus 로고    scopus 로고
    • Variable structure systems with sliding mode
    • V. I. Utkin, "Variable structure systems with sliding mode," IEEE Trans. Automat. Contr, 22(2), pp. 212-222.
    • IEEE Trans. Automat. Contr , vol.22 , Issue.2 , pp. 212-222
    • Utkin, V.I.1
  • 20
    • 0000174074 scopus 로고    scopus 로고
    • Switched controller synthesis for the quadratic stabilization of a pair of unstable linear systems
    • M. A. Wicks, P. Peletics and R. A. Decarlo, "Switched controller synthesis for the quadratic stabilization of a pair of unstable linear systems," European J. Contr. 4, pp. 140-147, 1998.
    • (1998) European J. Contr , vol.4 , pp. 140-147
    • Wicks, M.A.1    Peletics, P.2    Decarlo, R.A.3
  • 21
    • 0030708299 scopus 로고    scopus 로고
    • Solution of coupled Lyapunov Equations for the stabilization of multimodal linear systems
    • M. Wicks and R. Decarlo, "Solution of coupled Lyapunov Equations for the stabilization of multimodal linear systems," Proc. of the American Control Conf, pp. 1709-1713, 1997.
    • (1997) Proc. of the American Control Conf , pp. 1709-1713
    • Wicks, M.1    Decarlo, R.2
  • 22
    • 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," Sys. & Contr. Lett., 31, pp.165-171, 1997.
    • (1997) Sys. & Contr. Lett , vol.31 , pp. 165-171
    • Xie, L.1    Shishkin, S.2    Fu, M.3
  • 23
    • 0034692669 scopus 로고    scopus 로고
    • Stabilization of second-order LTI switched systems
    • X. Xu and P. J. Antsaklis, "Stabilization of second-order LTI switched systems," Int. J. of Control, 73, pp. 1216-1279, 2000.
    • (2000) Int. J. of Control , vol.73 , pp. 1216-1279
    • Xu, X.1    Antsaklis, P.J.2
  • 25
    • 0142137660 scopus 로고    scopus 로고
    • Quadratic stabilizability of switched linear systems with polytopic uncertainties
    • G. Zhai, H. Z. Lin, P. J. Antsaklis, "Quadratic stabilizability of switched linear systems with polytopic uncertainties," Int. J. of Control, 76(7),pp. 747-753, 2003.
    • (2003) Int. J. of Control , vol.76 , Issue.7 , pp. 747-753
    • Zhai, G.1    Lin, H.Z.2    Antsaklis, P.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.