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Volumn 31, Issue 3, 1997, Pages 165-171

Piecewise Lyapunov functions for robust stability of linear time-varying systems

Author keywords

Linear matrix inequality; Piecewise Lyapunov function; Robust stability; S procedure

Indexed keywords


EID: 0001360697     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(97)00027-3     Document Type: Article
Times cited : (168)

References (12)
  • 1
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  • 2
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    • A.I. Barkin, A.L. Zelentsovsky, Method of power transformations for analysis of stability of nonlinear control systems, Systems Control Lett. 3 (1983) 303-310.
    • (1983) Systems Control Lett. , vol.3 , pp. 303-310
    • Barkin, A.I.1    Zelentsovsky, A.L.2
  • 4
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    • Lie Algebra and Lie groups in control theory
    • Proc. NATO Advanced Study Institute, London
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    • (1973) Geometric Methods in Systems Theory , pp. 43-82
    • Brockett, R.W.1
  • 7
    • 0002986885 scopus 로고
    • Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems I
    • A.P. Molchanov, E.S. Pyatnitskii, Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems I, Avtomatika i Telemekhanika 3 (1986) 63-73.
    • (1986) Avtomatika i Telemekhanika , vol.3 , pp. 63-73
    • Molchanov, A.P.1    Pyatnitskii, E.S.2
  • 8
    • 0002986885 scopus 로고
    • Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems II
    • A.P. Molchanov, E.S. Pyatnitskii, Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems II, Avtomatika i Telemekhanika 4 (1986) 5-14.
    • (1986) Avtomatika i Telemekhanika , vol.4 , pp. 5-14
    • Molchanov, A.P.1    Pyatnitskii, E.S.2
  • 9
    • 0001240101 scopus 로고
    • Numerical methods of Lyapunov function construction and their application to the absolute stability problem
    • E.S. Pyatnitskii, V.I. Skorodinskii, Numerical methods of Lyapunov function construction and their application to the absolute stability problem, Systems Control Lett. 2 (1982) 130-135.
    • (1982) Systems Control Lett. , vol.2 , pp. 130-135
    • Pyatnitskii, E.S.1    Skorodinskii, V.I.2
  • 10
    • 0040099686 scopus 로고
    • Numerical methods for construction of Lyapunov functions and absolute stability criteria in the form of numerical procedures
    • E.S. Pyatnitskii, V.I. Skorodinskii, Numerical methods for construction of Lyapunov functions and absolute stability criteria in the form of numerical procedures, Avtomatika i Telemekhanika 11 (1983) 52-63.
    • (1983) Avtomatika i Telemekhanika , vol.11 , pp. 52-63
    • Pyatnitskii, E.S.1    Skorodinskii, V.I.2
  • 11
    • 0002182464 scopus 로고
    • S-procedures in nonlinear control theory
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  • 12
    • 0028282375 scopus 로고
    • Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems
    • A.L. Zelentsovsky, Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems, IEEE Trans. Automat. Control 39 (1994) 135-138.
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 135-138
    • Zelentsovsky, A.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.