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Volumn 16, Issue 10, 2002, Pages 729-751

On the existence of common quadratic Lyapunov functions for second-order linear time-invariant discrete-time systems

Author keywords

[No Author keywords available]

Indexed keywords

INVARIANCE; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; TIME VARYING CONTROL SYSTEMS;

EID: 0036943097     PISSN: 08906327     EISSN: None     Source Type: Journal    
DOI: 10.1002/acs.720     Document Type: Article
Times cited : (10)

References (14)
  • 1
    • 0028728038 scopus 로고
    • A common lyapunov function for stable LTI systems with commuting A-matrices
    • Narenda 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
    • Narenda, K.S.1    Balakrishnan, J.2
  • 4
    • 0032279504 scopus 로고    scopus 로고
    • On the stability and existence of common lyapunov functions for linear switching systems
    • Technical Report 9805, Yale University, New Haven, CT; Condensed version also appeared in Proceedings of Conference on Decision and Control, Tampa, FL, 1998; 3723-3724
    • Shorten RN, Narendra KS. On the stability and existence of common Lyapunov functions for linear switching systems. Technical Report 9805, Yale University, New Haven, CT, 1998; Condensed version also appeared in Proceedings of Conference on Decision and Control, Tampa, FL, 1998; 3723-3724.
    • (1998)
    • Shorten, R.N.1    Narendra, K.S.2
  • 6
    • 0002654632 scopus 로고    scopus 로고
    • On the simultaneous diagonal stability of linear discrete-time systems
    • Ooba T, Funahashi Y. On the simultaneous diagonal stability of linear discrete-time systems. Systems & Control Letters 1999; 36:175-180.
    • (1999) Systems & Control Letters , vol.36 , pp. 175-180
    • Ooba, T.1    Funahashi, Y.2
  • 8
    • 0033283375 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for the existence of a common lyapunov function for two stable second order linear time-invariant systems
    • Technical Report 9806. Yale University, New Haven, CT; Condensed version also appeared in Proceedings of the American Control Conference, San Diego, CA, 1999; 1410-1414
    • Shorten RN, Narendra KS. Necessary and sufficient conditions for the existence of a common Lyapunov function for two stable second order linear time-invariant systems. Technical Report 9806. Yale University, New Haven, CT, 1998; Condensed version also appeared in Proceedings of the American Control Conference, San Diego, CA, 1999; 1410-1414.
    • (1998)
    • Shorten, R.N.1    Narendra, K.S.2
  • 9
    • 0034543941 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for the existence of a common quadratic lyapunov function for M stable second order linear time-invariant systems
    • Shorten RN, Narendra KS. Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for M stable second order linear time-invariant systems. Proceedings of the American Control Conference, Chicago, IL, June 2000; 359-363.
    • Proceedings of the American Control Conference, Chicago, IL, June 2000 , pp. 359-363
    • Shorten, R.N.1    Narendra, K.S.2
  • 11
    • 0019080199 scopus 로고
    • Constructive stability and asymptotic stability of dynamical systems
    • Brayton RK, Tong CH. Constructive stability and asymptotic stability of dynamical systems. IEEE Transactions on Circuits and Systems 1980; CAS-27(11):1121-1130.
    • (1980) IEEE Transactions on Circuits and Systems , vol.CAS-27 , Issue.11 , pp. 1121-1130
    • Brayton, R.K.1    Tong, C.H.2
  • 13
    • 0012357677 scopus 로고    scopus 로고
    • Common quadratic lyapunov functions for finitely many stable second order LTI discrete-time systems
    • Technical Report 0202. Yale University, New Haven, CT
    • Akar M, Narendra KS. Common quadratic Lyapunov functions for finitely many stable second order LTI discrete-time systems. Technical Report 0202. Yale University, New Haven, CT, 2002.
    • (2002)
    • Akar, M.1    Narendra, K.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.