메뉴 건너뛰기




Volumn 16, Issue 1, 2003, Pages 119-126

Lyapunov function of general Lurie systems with multiple nonlinearities

Author keywords

Absolute stability; General Lurie system; Lyapunov function; Multinonlinear feedback

Indexed keywords


EID: 84867921369     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(02)00153-2     Document Type: Article
Times cited : (26)

References (14)
  • 3
    • 0040099686 scopus 로고
    • Numerical methods of designing Lyapunov functions and absolute stability criteria as numerical numerical procedures, (in Russian)
    • Y.S. Pyatnitskiy, and V.I. Skovodinskiy Numerical methods of designing Lyapunov functions and absolute stability criteria as numerical numerical procedures, (in Russian) Automatika i Telemekhanika 44 11 1983 52 63
    • (1983) Automatika i Telemekhanika , vol.44 , Issue.11 , pp. 52-63
    • Pyatnitskiy, Y.S.1    Skovodinskiy, V.I.2
  • 4
    • 0019541522 scopus 로고
    • On absolute stability and the Aizerman conjecture
    • L.T. Grujic On absolute stability and the Aizerman conjecture Automatica 17 2 1981 335 349
    • (1981) Automatica , vol.17 , Issue.2 , pp. 335-349
    • Grujic, L.T.1
  • 5
    • 43949174065 scopus 로고
    • Comments on 'On absolute stability and the Aizerman conjecture'
    • K.Q. Xiong Comments on 'On absolute stability and the Aizerman conjecture' Automatica 29 2 1993 559
    • (1993) Automatica , vol.29 , Issue.2 , pp. 559
    • Xiong, K.Q.1
  • 6
    • 0029308446 scopus 로고
    • Necessary and sufficient conditions for existence of a G-type Lyapunov function
    • K.Q. Xiong Necessary and sufficient conditions for existence of a G-type Lyapunov function Automatica 31 5 1995 787 791
    • (1995) Automatica , vol.31 , Issue.5 , pp. 787-791
    • Xiong, K.Q.1
  • 7
    • 84947822567 scopus 로고
    • Proof of the circle criterion for state space systems via quadratic Lyapunov functions - Part 1
    • P.F. Curran Proof of the circle criterion for state space systems via quadratic Lyapunov functions - Part 1 Int. J. Control 57 5 1993 921 955
    • (1993) Int. J. Control , vol.57 , Issue.5 , pp. 921-955
    • Curran, P.F.1
  • 8
    • 84947861327 scopus 로고
    • Proof of the circle criterion for state space systems via quadratic Lyapunov functions - Part 2
    • P.F. Curran Proof of the circle criterion for state space systems via quadratic Lyapunov functions - Part 2 Int. J. Control 57 5 1993 957 969
    • (1993) Int. J. Control , vol.57 , Issue.5 , pp. 957-969
    • Curran, P.F.1
  • 9
    • 0023996677 scopus 로고
    • On absolute stability of control systems with several executive elements
    • S.X. Zhao On absolute stability of control systems with several executive elements Scientia Sinica (Series A) XXXI 4 1988 395 405
    • (1988) Scientia Sinica (Series A) , vol.31 , Issue.4 , pp. 395-405
    • Zhao, S.X.1
  • 10
    • 0030190623 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for existence of a Lyapunov function with 'a quadratic form plus an integral term'
    • K.Q. Xiong Necessary and sufficient conditions for existence of a Lyapunov function with 'a quadratic form plus an integral term' Int. J. Control 64 4 1996 707 719
    • (1996) Int. J. Control , vol.64 , Issue.4 , pp. 707-719
    • Xiong, K.Q.1
  • 11
    • 34249955964 scopus 로고
    • Necessary and sufficient conditions for existence of Lyapunov function of Lurie form with v ≤ 0
    • Y.X. Wu, and S.X. Zhao Necessary and sufficient conditions for existence of Lyapunov function of Lurie form with V ≤ 0 Acta Mathematicae Applicae Sinica 6 3 1990 245 250
    • (1990) Acta Mathematicae Applicae Sinica , vol.6 , Issue.3 , pp. 245-250
    • Wu, Y.X.1    Zhao, S.X.2
  • 13
    • 0019590968 scopus 로고
    • Lyapunov-like solutions for stability problem of the most general stationing Lurie-Postnikov systems
    • L.T. Grujic Lyapunov-like solutions for stability problem of the most general stationing Lurie-Postnikov systems Int. J. Systems Sci. 12 3 1981 813 833
    • (1981) Int. J. Systems Sci. , vol.12 , Issue.3 , pp. 813-833
    • Grujic, L.T.1
  • 14
    • 84987227252 scopus 로고
    • Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability Part I: Continuous-time theory
    • W.M. Haddad, and D.S. Bernstein Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and Popov theorems and their application to robust stability Part I: Continuous-time theory Int. J. Robust and Nonlinear Contr. 3 1993 313 339
    • (1993) Int. J. Robust and Nonlinear Contr. , vol.3 , pp. 313-339
    • Haddad, W.M.1    Bernstein, D.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.