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Volumn , Issue , 2008, Pages 2297-2303

Small-gain conditions and lyapunov functions applicable equally to iISS and ISS systems without uniformity assumption

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; DIFFERENTIAL EQUATIONS; LYAPUNOV FUNCTIONS; SOUNDING APPARATUS; SYSTEM STABILITY; TELECOMMUNICATION NETWORKS;

EID: 52449115719     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2008.4586834     Document Type: Conference Paper
Times cited : (16)

References (14)
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    • Angeli, D.1    Astolfi, A.2
  • 2
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    • A characterization of integral input-to-state stability
    • D. Angeli, E.D. Sontag and Y. Wang, "A characterization of integral input-to-state stability," IEEE Trans. Automat. Control, 45, pp. 1082-1097, 2000.
    • (2000) IEEE Trans. Automat. Control , vol.45 , pp. 1082-1097
    • Angeli, D.1    Sontag, E.D.2    Wang, Y.3
  • 4
    • 8744281287 scopus 로고    scopus 로고
    • Stability criteria for interconnected iISS systems and ISS systems using scaling of supply rates
    • H. Ito, "Stability criteria for interconnected iISS systems and ISS systems using scaling of supply rates," in Proc. 2004 American Control Conference, 2004, pp. 1055-1060.
    • (2004) Proc. 2004 American Control Conference , pp. 1055-1060
    • Ito, H.1
  • 5
    • 33750125424 scopus 로고    scopus 로고
    • State-dependent scaling problems and stability of interconnected iISS and ISS systems
    • H. Ito, "State-dependent scaling problems and stability of interconnected iISS and ISS systems," IEEE Trans. Automat. Control, 51, pp.1626-1643, 2006.
    • (2006) IEEE Trans. Automat. Control , vol.51 , pp. 1626-1643
    • Ito, H.1
  • 6
    • 39649097615 scopus 로고    scopus 로고
    • Nonlinear small-gain condition covering iISS systems: Necessity and sufficiency from a Lyapunov perspective
    • H. Ito and Z-P. Jiang, "Nonlinear small-gain condition covering iISS systems: Necessity and sufficiency from a Lyapunov perspective," in Proc. 45th IEEE Conf. Decision Contr., 2006, pp. 355-360.
    • (2006) Proc. 45th IEEE Conf. Decision Contr , pp. 355-360
    • Ito, H.1    Jiang, Z.-P.2
  • 7
    • 62749199737 scopus 로고    scopus 로고
    • A Lyapunov function for interconnected ISS systems derived from dissipation inequalities
    • H. Ito and Z-P. Jiang, "A Lyapunov function for interconnected ISS systems derived from dissipation inequalities," in Proc. 46th IEEE Conf. Decision Contr., 2007, pp.4465-4470.
    • (2007) Proc. 46th IEEE Conf. Decision Contr , pp. 4465-4470
    • Ito, H.1    Jiang, Z.-P.2
  • 8
    • 0030218302 scopus 로고    scopus 로고
    • A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
    • Z-P. Jiang, I. 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.2    Wang, Y.3
  • 10
    • 0024647058 scopus 로고
    • Smooth stabilization implies coprime factorization
    • E.D. Sontag. "Smooth stabilization implies coprime factorization," IEEE Trans. Automat. Contr., 34, pp.435-443, 1989.
    • (1989) IEEE Trans. Automat. Contr , vol.34 , pp. 435-443
    • Sontag, E.D.1
  • 11
    • 0348241184 scopus 로고    scopus 로고
    • Comments on integral variants of ISS
    • E.D. Sontag, "Comments on integral variants of ISS," Syst. Control Lett., 34, pp. 93-100, 1998.
    • (1998) Syst. Control Lett , vol.34 , pp. 93-100
    • Sontag, E.D.1
  • 12
    • 0036505787 scopus 로고    scopus 로고
    • A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections
    • E.D. Sontag and B. Ingalls, "A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections," J. Franklin Inst., 339, pp.211-229, 2002
    • (2002) J. Franklin Inst , vol.339 , pp. 211-229
    • Sontag, E.D.1    Ingalls, B.2
  • 13
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    • On characterizations of input-to-state stability property
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  • 14
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    • 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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    • Teel, A.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.