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Volumn 56, Issue 1, 2007, Pages 87-91

A tight small-gain theorem for not necessarily ISS systems

Author keywords

Global asymptotic stability; Input to state stability; Integral input to state stability; Small gain theorem

Indexed keywords

ASYMPTOTIC STABILITY; INTEGRAL EQUATIONS; THEOREM PROVING;

EID: 33751009134     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2006.08.003     Document Type: Article
Times cited : (73)

References (13)
  • 3
    • 0017009905 scopus 로고
    • The stability of nonlinear dissipative systems
    • Hill D.J., and Moylan P.J. The stability of nonlinear dissipative systems. IEEE Trans. Automat. Control 21 (1976) 807-811
    • (1976) IEEE Trans. Automat. Control , vol.21 , pp. 807-811
    • Hill, D.J.1    Moylan, P.J.2
  • 4
    • 49449122350 scopus 로고
    • Stability results for nonlinear feedback systems
    • Hill D.J., and Moylan P.J. Stability results for nonlinear feedback systems. Automatica 13 (1977) 377-382
    • (1977) Automatica , vol.13 , pp. 377-382
    • Hill, D.J.1    Moylan, P.J.2
  • 5
    • 8744281287 scopus 로고    scopus 로고
    • H. Ito, Stability criteria for interconnected iISS systems and ISS systems using scaling of supply rates, Proceedings of the American Control Conference, vol. 2, 2004, pp. 1055-1060.
  • 6
    • 0030218302 scopus 로고    scopus 로고
    • A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
    • Jiang Z.-P., Mareels I.M.Y., and Wang Y. A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems. Automatica 32 8 (1996) 1211-1215
    • (1996) Automatica , vol.32 , Issue.8 , pp. 1211-1215
    • Jiang, Z.-P.1    Mareels, I.M.Y.2    Wang, Y.3
  • 8
    • 0035480287 scopus 로고    scopus 로고
    • Sufficient conditions for the existence of an unbounded solution
    • Orsi R., Praly L., and Mareels I.M.Y. Sufficient conditions for the existence of an unbounded solution. Automatica 37 10 (2001) 1609-1617
    • (2001) Automatica , vol.37 , Issue.10 , pp. 1609-1617
    • Orsi, R.1    Praly, L.2    Mareels, I.M.Y.3
  • 9
    • 0742321622 scopus 로고    scopus 로고
    • A remark on the stability of interconnected nonlinear systems
    • Rapaport A., and Astolfi A. A remark on the stability of interconnected nonlinear systems. IEEE Trans. Automat. Control 49 (2004) 120-124
    • (2004) IEEE Trans. Automat. Control , vol.49 , pp. 120-124
    • Rapaport, A.1    Astolfi, A.2
  • 10
    • 0024647058 scopus 로고
    • Smooth stabilization implies coprime factorization
    • Sontag E.D. Smooth stabilization implies coprime factorization. IEEE Trans. Automat. Control 34 (1989) 435-443
    • (1989) IEEE Trans. Automat. Control , vol.34 , pp. 435-443
    • Sontag, E.D.1
  • 11
    • 33750985009 scopus 로고    scopus 로고
    • E.D. Sontag, Input to state stability: basic concepts and results, in: P. Nistri, G. Stefani, (Eds.), Nonlinear and Optimal Control Theory, Springer Lecture Notes in Mathematics (CIME Course, Cetraro, June 2004), Springer, Berlin, 2006, pp. 163-220.
  • 12
    • 0030243148 scopus 로고    scopus 로고
    • A nonlinear small-gain theorem for the analysis of control systems with saturation
    • Teel A.R. A nonlinear small-gain theorem for the analysis of control systems with saturation. IEEE Trans. Automat. Control 41 (1996) 1256-1270
    • (1996) IEEE Trans. Automat. Control , vol.41 , pp. 1256-1270
    • Teel, A.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.