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Volumn 20, Issue 3, 2005, Pages 281-299

A constructive converse Lyapunov theorem on asymptotic stability for nonlinear autonomous ordinary differential equations

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; FUNCTIONS; LINEAR PROGRAMMING; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

EID: 27544461948     PISSN: 14689367     EISSN: 14689375     Source Type: Journal    
DOI: 10.1080/14689360500164873     Document Type: Article
Times cited : (27)

References (17)
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    • Lyapunov, A.1
  • 2
    • 0003980507 scopus 로고
    • New York and Berlin: Springer
    • Hahn, W., 1967, Stability of Motion (New York and Berlin: Springer).
    • (1967) Stability of Motion
    • Hahn, W.1
  • 3
    • 0000643682 scopus 로고
    • On Liapunoffs conditions of stability
    • Massera, J., 1949, On Liapunoffs conditions of stability. Annals of Mathematics, 50, 705-721.
    • (1949) Annals of Mathematics , vol.50 , pp. 705-721
    • Massera, J.1
  • 4
    • 0000682499 scopus 로고
    • Contributions to stability theory
    • Massera, J., 1956, Contributions to stability theory. Annals of Mathamatics, 64, 182-206.
    • (1956) Annals of Mathamatics , vol.64 , pp. 182-206
    • Massera, J.1
  • 5
    • 33646222291 scopus 로고
    • On a question of reversability of Liapunov's theorem on asymptotic stability
    • J. Aggarwal and M. Vidyasagar (Eds) (Stroudsburg: Dowden, Hutchinson & Ross)
    • Malkin, I., 1977, On a question of reversability of Liapunov's theorem on asymptotic stability. In J. Aggarwal and M. Vidyasagar (Eds) Nonlinear Systems: Stability Analysis, pp. 161-170 (Stroudsburg: Dowden, Hutchinson & Ross).
    • (1977) Nonlinear Systems: Stability Analysis , pp. 161-170
    • Malkin, I.1
  • 6
    • 1042267859 scopus 로고    scopus 로고
    • A constructive converse Lyapunov theorem on exponential stability
    • Hafstein, S., 2004, A constructive converse Lyapunov theorem on exponential stability. Discrete and Continuous Dynamical Systems - Series A, 10(3), 657-678.
    • (2004) Discrete and Continuous Dynamical Systems - Series A , vol.10 , Issue.3 , pp. 657-678
    • Hafstein, S.1
  • 14
    • 0036625975 scopus 로고    scopus 로고
    • Lyapunov function construction for ordinary differential equations with linear programming
    • Marinosson, S., 2002, Lyapunov function construction for ordinary differential equations with linear programming. Dynamical Systems: An International Journal, 17, 137-150.
    • (2002) Dynamical Systems: An International Journal , vol.17 , pp. 137-150
    • Marinosson, S.1
  • 15
    • 0032625112 scopus 로고    scopus 로고
    • A converse Lyapunov theorem for a class of dynamical systems which undergo switching
    • Dayawansa, W. and Martin, C., 1999, A converse Lyapunov theorem for a class of dynamical systems which undergo switching. IEEE Transactions on Automatic Control, 44(4), 751-760.
    • (1999) IEEE Transactions on Automatic Control , vol.44 , Issue.4 , pp. 751-760
    • Dayawansa, W.1    Martin, C.2
  • 16
    • 0033311181 scopus 로고    scopus 로고
    • Basic problems in stability and design of switched systems
    • Liberzon, D. and Morse, A., 1999, Basic problems in stability and design of switched systems. IEEE Control Systems Magazine, 19(5), 59-70.
    • (1999) IEEE Control Systems Magazine , vol.19 , Issue.5 , pp. 59-70
    • Liberzon, D.1    Morse, A.2
  • 17
    • 15844419019 scopus 로고    scopus 로고
    • Common Lyapunov functions for families of commuting nonlinear systems
    • Vu, L. and Liberzon, D., 2005, Common Lyapunov functions for families of commuting nonlinear systems. Systems & Control Letters, 54(5), 405-416.
    • (2005) Systems & Control Letters , vol.54 , Issue.5 , pp. 405-416
    • Vu, L.1    Liberzon, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.