메뉴 건너뛰기
Communications in Nonlinear Science and Numerical Simulation
Volumn 9, Issue 4, 2004, Pages 405-416
Complete characterization of quadratic Lyapunov functions for planar discrete systems
Author keywords

Common quadratic Lyapunov function; Discrete switched systems; Orthogonal transformation
Indexed keywords

FINITE DIFFERENCE METHOD; FUNCTIONS; PROBLEM SOLVING; SWITCHING SYSTEMS;
EID: 1642529499     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1007-5704(02)00136-3     Document Type: Article
Times cited : (3)
References (11)
  • 1
    • 0031234627 scopus 로고    scopus 로고
    • Systems with finite communication bandwidth constraints-Part I: State estimation problems
    • Wong W.S. Brocket R.W. Systems with finite communication bandwidth constraints-Part I: State estimation problems IEEE Trans. Auto. Contr. 42 9 1997 1294-1299
    • (1997) IEEE Trans. Auto. Contr. , vol.42 , Issue.9 , pp. 1294-1299
    • Wong, W.S.1    Brocket, R.W.2
  • 2
    • 0027544543 scopus 로고
    • Smart cars on smart roads: Problems of control
    • Varaiya P. Smart cars on smart roads: Problems of control IEEE Trans. Auto. Contr. 38 2 1993 195-207
    • (1993) IEEE Trans. Auto. Contr. , vol.38 , Issue.2 , pp. 195-207
    • Varaiya, P.1
  • 3
    • 0024685717 scopus 로고
    • Controllability and observability of hybrid systems
    • Ezzine J. Haddad A.H. Controllability and observability of hybrid systems Int. J. Contr. 49 6 1989 2045-2055
    • (1989) Int. J. Contr. , vol.49 , Issue.6 , pp. 2045-2055
    • Ezzine, J.1    Haddad, A.H.2
  • 4
    • 0036686522 scopus 로고    scopus 로고
    • Controllability of switched linear systems
    • Xie Guangming, Zheng Dazhong, Wang Long. Controllability of switched linear systems. IEEE Trans Auto Contr 2002;47(8):1401-5
    • (2002) IEEE Trans Auto Contr , vol.47 , Issue.8 , pp. 1401-1405
    • Xie, G.1    Zheng, D.2    Wang, L.3
  • 5
    • 0036343769 scopus 로고    scopus 로고
    • Necessay and sufficient conditions for controllability of switched linear systems
    • Anchorage, Alaska, USA
    • Xie Guangming, Zheng Dazhong, Wang Long. Necessay and sufficient conditions for controllability of switched linear systems. American Automatic Control Council, Anchorage, Alaska, USA, 2002;1897-1902
    • (2002) American Automatic Control Council , pp. 1897-1902
    • Xie, G.1    Zheng, D.2    Wang, L.3
  • 6
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • Liberzon D. Morse A.S. Basic problems in stability and design of switched systems IEEE Contr. Syst. Mag. 19 5 1999 59-70
    • (1999) IEEE Contr. Syst. Mag. , vol.19 , Issue.5 , pp. 59-70
    • Liberzon, D.1    Morse, A.S.2
  • 7
    • 0028728038 scopus 로고
    • A common Lyapunov function for stable LTI systems with commuting A-matrices
    • Narendra K.S. Balakrishnan J. A common Lyapunov function for stable LTI systems with commuting A-matrices IEEE Trans. Auto. Contr. 39 12 1994 2469-2471
    • (1994) IEEE Trans. Auto. Contr. , vol.39 , Issue.12 , pp. 2469-2471
    • Narendra, K.S.1    Balakrishnan, J.2
  • 8
    • 85196164108 scopus 로고    scopus 로고
    • Stability of switched systems: A Lie-algebra condition
    • Liberzon D. Hespanha J.P. Morse A.S. Stability of switched systems: A Lie-algebra condition Syst. Contr. Lett. 37 6 1999 1914-1946
    • (1999) Syst. Contr. Lett. , vol.37 , Issue.6 , pp. 1914-1946
    • Liberzon, D.1    Hespanha, J.P.2    Morse, A.S.3
  • 9
    • 0032279504 scopus 로고    scopus 로고
    • On the existence of a common Lyapunov function for linear stable switching systems
    • Tampa
    • Shorten RN, Narendra KS. On the existence of a common Lyapunov function for linear stable switching systems. In: Proc. 37th Conf. Decision and Control, Tampa, 1998, p. 3723-4
    • (1998) Proc. 37th Conf. Decision and Control , pp. 3723-3724
    • Shorten, R.N.1    Narendra, K.S.2
  • 10
    • 0031344360 scopus 로고    scopus 로고
    • A solution to the common Lyapunov function problem for continuous-time systems
    • San Diego
    • Mori Y, Mori T, Kuroe Y. A solution to the common Lyapunov function problem for continuous-time systems. In: Proc. 36th Conf. Decision and Control, San Diego, 1997, p. 3530-1
    • (1997) Proc. 36th Conf. Decision and Control , pp. 3530-3531
    • Mori, Y.1    Mori, T.2    Kuroe, Y.3
  • 11
    • 0038596677 scopus 로고    scopus 로고
    • On quadratic Lyapunov function of planar systems
    • Dalian
    • Cheng Daizhan. On quadratic Lyapunov function of planar systems. In: Proc. 20th Chinese Control Conference, Dalian, 2001, p. 834-9
    • (2001) Proc. 20th Chinese Control Conference , pp. 834-839
    • Cheng, D.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.