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Volumn 2, Issue , 2002, Pages 2286-2291

A constructive proof of ISS small-gain theorem using generalized scaling

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; FUNCTIONS; LARGE SCALE SYSTEMS; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; THEOREM PROVING;

EID: 0036993406     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (20)

References (17)
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    • Hill, D.J.1    Moylan, P.J.2
  • 4
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    • A generalisation of the small-gain theorem for nonlinear feedback systems
    • D.J.Hill. A generalisation of the small-gain theorem for nonlinear feedback systems. Automatica, 27:1043-1045, 1991.
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    • Hill, D.J.1
  • 6
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    • State-dependent scaling approach to global control of interconnected nonlinear dynamic systems
    • Arlington, VA
    • H. Ito. State-dependent scaling approach to global control of interconnected nonlinear dynamic systems. In Proc. Amer. Contr. Conf., pages 3654-3659, Arlington, VA, 2001.
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    • Ito, H.1
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    • State-dependent scaling characterization of stability and performance for nonlinear interconnected systems
    • to appear
    • H. Ito. State-dependent scaling characterization of stability and performance for nonlinear interconnected systems. In Proc. IEEE Conf. Decision. Contr., to appear, 2002.
    • (2002) Proc. IEEE Conf. Decision. Contr.
    • Ito, H.1
  • 8
    • 0030218302 scopus 로고    scopus 로고
    • A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
    • Z.P. Jiang, I.M. Mareels, and Y. Wang. A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems, Automatica, 32, pp. 1211-1215, 1996.
    • (1996) Automatica , vol.32 , pp. 1211-1215
    • Jiang, Z.P.1    Mareels, I.M.2    Wang, Y.3
  • 11
    • 0027591532 scopus 로고
    • Necessary and sufficient conditions of stability: A multiloop generalization of the circle criterion
    • A. Megretsky. Necessary and sufficient conditions of stability: a multiloop generalization of the circle criterion. IEEE Trans. Automat. Control, 38, pp. 753-756, 1993.
    • (1993) IEEE Trans. Automat. Control , vol.38 , pp. 753-756
    • Megretsky, A.1
  • 12
    • 0017955772 scopus 로고
    • Stability criteria for large-scale systems
    • P.J.Moylan and D.J.Hill. Stability criteria for large-scale systems. IEEE Trans. Automat. Contr., 23, pp.143-149, 1978.
    • (1978) IEEE Trans. Automat. Contr. , vol.23 , pp. 143-149
    • Moylan, P.J.1    Hill, D.J.2
  • 13
    • 0028412889 scopus 로고
    • Robust stability with time-varying structured uncertainty
    • J.Shamma. Robust stability with time-varying structured uncertainty. IEEE Trans. Automat. Contr,39,pp.714-724,1994.
    • (1994) IEEE Trans. Automat. Contr , vol.39 , pp. 714-724
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  • 14
    • 0029358183 scopus 로고
    • Changing supply functions in input/state stable systems
    • E. Sontag and A. Teel, Changing supply functions in input/state stable systems. IEEE Trans. Automat. Contr., 40, pp.1476-1478, 1995.
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  • 15
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    • Smooth stabilization implies coprime factorization
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    • Sontag, E.D.1
  • 16
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    • A nonlinear small gain theorem for the analysis of control systems with saturation
    • A.R. Teel. A nonlinear small gain theorem for the analysis of control systems with saturation. IEEE Trans. Automat. Contr., 41, pp.1256-1270, 1996.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.