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Volumn 16, Issue 10, 2002, Pages 709-728

Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time-invariant systems

Author keywords

[No Author keywords available]

Indexed keywords

INVARIANCE; LYAPUNOV METHODS; MATRIX ALGEBRA; TIME VARYING CONTROL SYSTEMS;

EID: 0036936621     PISSN: 08906327     EISSN: None     Source Type: Journal    
DOI: 10.1002/acs.719     Document Type: Article
Times cited : (116)

References (15)
  • 1
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    • Boyd, S.1    Yang, Q.2
  • 2
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    • A common lyapunov function for stable LTI systems with commuting A-matrices
    • Narendra KS, Balakrishnan J. A common Lyapunov function for stable LTI systems with commuting A-matrices. IEEE Transactions on Automatic Control 1994; 39(12):2469-2471.
    • (1994) IEEE Transactions on Automatic Control , vol.39 , Issue.12 , pp. 2469-2471
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  • 4
    • 0004173028 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for the existence of a common lyapunov function for two second order systems
    • Technical Report, Center for Systems Science, Report 9806
    • Shorten R, Narendra K. Necessary and Sufficient Conditions for the Existence of a Common Lyapunov Function for Two Second Order Systems. Technical Report, Center for Systems Science, Report 9806, 1998.
    • (1998)
    • Shorten, R.1    Narendra, K.2
  • 5
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • Liberzon D, Morse AS. Basic problems in stability and design of switched systems. IEEE Control Systems Magazine 19(5), 59-70.
    • IEEE Control Systems Magazine , vol.19 , Issue.5 , pp. 59-70
    • Liberzon, D.1    Morse, A.S.2
  • 6
    • 0002592666 scopus 로고
    • Absolute characteristic exponent of a class of linear nonstationary systems of differential equations
    • Barabonov NE. Absolute characteristic exponent of a class of linear nonstationary systems of differential equations. Siberian Mathematical Journal 1986: 29(4):12-22.
    • (1986) Siberian Mathematical Journal , vol.29 , Issue.4 , pp. 12-22
    • Barabonov, N.E.1
  • 7
    • 0242711970 scopus 로고    scopus 로고
    • A result on common quadratic lyapunov functions
    • in press. Also Technical Report, Signals and Systems Group, NUI, Maynooth, NUIM-SS-2002-01
    • Shorten R, Narendra KS, Mason O. A result on common quadratic Lyapunov functions. IEEE Transactions on Automatic Control, in press. Also Technical Report, Signals and Systems Group, NUI, Maynooth, NUIM-SS-2002-01.
    • IEEE Transactions on Automatic Control
    • Shorten, R.1    Narendra, K.S.2    Mason, O.3
  • 8
    • 0003139490 scopus 로고
    • On ranges of real lyapunov transformations
    • Loewy R. On ranges of real Lyapunov transformations. Linear Algebra and its Applications 1976; 13:79-89.
    • (1976) Linear Algebra and Its Applications , vol.13 , pp. 79-89
    • Loewy, R.1
  • 11
    • 0027576582 scopus 로고
    • A necessary and sufficient criterion for the stability of a convex set of matrices
    • Cohen N, Lewkowicz I. A necessary and sufficient criterion for the stability of a convex set of matrices. IEEE Transactions on Automatic Control 1993; 38(4):611-615.
    • (1993) IEEE Transactions on Automatic Control , vol.38 , Issue.4 , pp. 611-615
    • Cohen, N.1    Lewkowicz, I.2
  • 13
    • 4243660994 scopus 로고    scopus 로고
    • On the stability and existence of common lyapunov functions for linear stable switching systems
    • Technical Report, Report 9805, Center for Systems Science, April
    • Shorten R, Narendra K. On the stability and existence of common Lyapunov functions for linear stable switching systems. Technical Report, Report 9805, Center for Systems Science, April 1998.
    • (1998)
    • Shorten, R.1    Narendra, K.2
  • 14
    • 0004173029 scopus 로고    scopus 로고
    • A sufficient condition for the existence of a common lyapunov function for two second order systems: Part 1
    • Technical Report, Report 9701. Center for Systems Science, Yale University, 1997
    • Shorten R, Narendra K. A sufficient condition for the existence of a common Lyapunov function for two second order systems: Part 1. Technical Report, Report 9701. Center for Systems Science, Yale University, 1997.
    • (1997)
    • Shorten, R.1    Narendra, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.