메뉴 건너뛰기




Volumn , Issue , 2006, Pages 119-124

Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV FUNCTIONS; NUMERICAL METHODS; SWITCHING;

EID: 37749016257     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.376748     Document Type: Conference Paper
Times cited : (29)

References (18)
  • 2
    • 33746111685 scopus 로고
    • Lyapunov indicator of discrete inclusion, part I-II-III
    • 49:I:, II:, III
    • N. E. Barabanov. Lyapunov indicator of discrete inclusion, part I-II-III. Automat. Remote Control, 49:I: 152-157, II: 283-287, III: 558-566, 1988.
    • (1988) Automat. Remote Control
    • Barabanov, N.E.1
  • 3
    • 0028549967 scopus 로고
    • Equivalence of stability concepts for discrete time-varying system
    • A. Bhaya and C. Mota. Equivalence of stability concepts for discrete time-varying system. Int. Journal on Robust and Nonlinear Control, 4(6):725-740, 1994.
    • (1994) Int. Journal on Robust and Nonlinear Control , vol.4 , Issue.6 , pp. 725-740
    • Bhaya, A.1    Mota, C.2
  • 4
    • 0029266878 scopus 로고
    • Non-quadratic Lyapunov function for robust control
    • F. Blanchini. Non-quadratic Lyapunov function for robust control. Automatica, 31 (3):451-461, 1995.
    • (1995) Automatica , vol.31 , Issue.3 , pp. 451-461
    • Blanchini, F.1
  • 5
    • 0030194034 scopus 로고    scopus 로고
    • F. Blanchini and S. Miani. On the transient estimate for linear systems with time-varying uncertain parameters. IEEE Trans, on Circuit and Systems, 43(7):000-000, 1996.
    • F. Blanchini and S. Miani. On the transient estimate for linear systems with time-varying uncertain parameters. IEEE Trans, on Circuit and Systems, 43(7):000-000, 1996.
  • 6
    • 0032047505 scopus 로고    scopus 로고
    • Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
    • M. S. Branicky. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans. Automat. Contr., 43(4):475-482, 1998.
    • (1998) IEEE Trans. Automat. Contr , vol.43 , Issue.4 , pp. 475-482
    • Branicky, M.S.1
  • 7
    • 0019080199 scopus 로고
    • Constructive stability and asymptotic stability of dynamical systems
    • April
    • R. K. Brayton and C. H. Tong. Constructive stability and asymptotic stability of dynamical systems. IEEE Trans, on Circuit and Systems, 27(11):1121 1130, April 1980.
    • (1980) IEEE Trans, on Circuit and Systems , vol.27 , Issue.11 , pp. 1121-1130
    • Brayton, R.K.1    Tong, C.H.2
  • 8
    • 33646910241 scopus 로고    scopus 로고
    • Perspectives and results on the stability and stabilizability of hybrid systems
    • R. A. Decarlo, M. S. Branicky, S. Pettersson, and B. Lennatson. Perspectives and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE, 88(7): 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    Lennatson, B.4
  • 9
    • 33646769622 scopus 로고    scopus 로고
    • Stability and stabilization of discretetime switched systems
    • to appear
    • J.C. Geromel and P. Colaneri. Stability and stabilization of discretetime switched systems. Int. Journal of Control, to appear, 2006.
    • (2006) Int. Journal of Control
    • Geromel, J.C.1    Colaneri, P.2
  • 10
    • 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. Journal of Control, 75(14):1127-1135, 2002.
    • (2002) Int. Journal of Control , vol.75 , Issue.14 , pp. 1127-1135
    • Hu, B.1    Zhai, G.2    Michel, A.N.3
  • 11
    • 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 Trans. Automat. Contr., 43(4):555-559, 1998.
    • (1998) IEEE Trans. Automat. Contr , vol.43 , Issue.4 , pp. 555-559
    • Johansson, M.1    Rantzer, A.2
  • 12
    • 39649091886 scopus 로고    scopus 로고
    • D. Liberzon. Switching in System and Control. Systems & and Control: Foundations & Applications. Birkhauser, Boston, 2003.
    • D. Liberzon. Switching in System and Control. Systems & and Control: Foundations & Applications. Birkhauser, Boston, 2003.
  • 13
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • D. Liberzon and A. S. Morse. Basic problems in stability and design of switched systems. IEEE Contr. Syst. Mag., 19(5):59-70, 1999.
    • (1999) IEEE Contr. Syst. Mag , vol.19 , Issue.5 , pp. 59-70
    • Liberzon, D.1    Morse, A.S.2
  • 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 J. on Contr. and Optim., 34(1):124160, 1996.
    • (1996) SIAM J. on Contr. and Optim , vol.34 , Issue.1 , pp. 124160
    • Lin, Y.1    Sontag, E.D.2    Wang, Y.3
  • 15
    • 39649117784 scopus 로고    scopus 로고
    • A. P. Molchanov and E. S. Pyatnitskii. Lyapunov functions that define necessary and sufficient conditions for absolute stability of nonlinear nonstationary control systems. IIIIII. Automat. Remote Control, 47:1:344-354, II: 443-451, III:620-630, 1986.
    • A. P. Molchanov and E. S. Pyatnitskii. Lyapunov functions that define necessary and sufficient conditions for absolute stability of nonlinear nonstationary control systems. IIIIII. Automat. Remote Control, 47:1:344-354, II: 443-451, III:620-630, 1986.
  • 17
    • 61349167173 scopus 로고    scopus 로고
    • Z. Sun and S. Ge. Switched Linear Systems Control and Design. Communications and Control Engineering. Springer-Verlag, London, 2005.
    • Z. Sun and S. Ge. Switched Linear Systems Control and Design. Communications and Control Engineering. Springer-Verlag, London, 2005.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.