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Volumn 39, Issue 2, 2008, Pages 181-192

Uniform stability of discrete impulsive systems

Author keywords

Discrete impulsive synchronization; Discrete impulsive system; Lyapunov function; M matrix; Quasi exponential stability; Uniformly asymptotic stability

Indexed keywords

ASYMPTOTIC STABILITY; CHAOTIC SYSTEMS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; MATRIX ALGEBRA; SYNCHRONIZATION; SYSTEM STABILITY;

EID: 38349127655     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720701748380     Document Type: Article
Times cited : (19)

References (23)
  • 2
    • 33646910241 scopus 로고    scopus 로고
    • Perspective and results on the stability and stabilizability of hybrid systems
    • R. Decarlo, M. Braincky, S. Petersson and B. Lennartson, "Perspective and results on the stability and stabilizability of hybrid systems", Proceedings of IEEE, 88, pp. 1069-1082, 2000.
    • (2000) Proceedings of IEEE , vol.88 , pp. 1069-1082
    • Decarlo, R.1    Braincky, M.2    Petersson, S.3    Lennartson, B.4
  • 3
    • 24144437382 scopus 로고    scopus 로고
    • H-infinity model reduction for uncertain two-dimensional discrete systems
    • H.J. Gao, J.Lam, C.H. Wang and S.Y. Xu, "H-infinity model reduction for uncertain two-dimensional discrete systems," Optimal Control Appl Methods, 26, pp. 199-227, 2005a.
    • (2005) Optimal Control Appl Methods , vol.26 , pp. 199-227
    • Gao, H.J.1    Lam, J.2    Wang, C.H.3    Xu, S.Y.4
  • 4
    • 25444487015 scopus 로고    scopus 로고
    • New approach to mixed H-2/H infinity filtering for polytopic discrete-time systems
    • H.J. Gao, J.Lam., L.H. Xie and C.H. Wang, "New approach to mixed H-2/H infinity filtering for polytopic discrete-time systems," IEEE Trans. Signal Process, 53, pp. 3183-3192, 2005b.
    • (2005) IEEE Trans. Signal Process , vol.53 , pp. 3183-3192
    • Gao, H.J.1    Lam, J.2    Xie, L.H.3    Wang, C.H.4
  • 7
    • 34248666324 scopus 로고    scopus 로고
    • Impulsive synchronization of discrete chaotic systems with applications to secure communication
    • Y.X. Li, X.Z. Liu and X.M. Shen, Impulsive synchronization of discrete chaotic systems with applications to secure communication, Proceedings of the Third International DCDIS Conference, pp. 408-414, 2003.
    • (2003) Proceedings of the Third International DCDIS Conference , pp. 408-414
    • Li, Y.X.1    Liu, X.Z.2    Shen, X.M.3
  • 8
    • 0035118992 scopus 로고    scopus 로고
    • Robust stability of quasi-period hybrid dynamic uncertain systems
    • Z.G. Li, Y.C. Soh and C.Y. Wen, "Robust stability of quasi-period hybrid dynamic uncertain systems," IEEE Trans. Automat Control, 46, pp. 107-111, 2001.
    • (2001) IEEE Trans. Automat Control , vol.46 , pp. 107-111
    • Li, Z.G.1    Soh, Y.C.2    Wen, C.Y.3
  • 9
    • 0035364781 scopus 로고    scopus 로고
    • Robust stability of a class of hybrid nonlinear systems
    • Z.G. Li, Y.C. Soh and C.Y. Wen, "Robust stability of a class of hybrid nonlinear systems," IEEE Trans. Automat Control, 46, pp. 897-903, 2002.
    • (2002) IEEE Trans. Automat Control , vol.46 , pp. 897-903
    • Li, Z.G.1    Soh, Y.C.2    Wen, C.Y.3
  • 10
    • 38349104695 scopus 로고    scopus 로고
    • X.X. Liao, Theory and application of stability for dynamical systems, Beijing: National Defence Industry Press, in Chinese, 2001.
    • X.X. Liao, Theory and application of stability for dynamical systems, Beijing: National Defence Industry Press, in Chinese, 2001.
  • 12
    • 34248673482 scopus 로고    scopus 로고
    • Robust stability of discrete impulsive systems
    • B. Liu and X.Z. Liu, "Robust stability of discrete impulsive systems," IEEE Trans on Circuits Syst.-II, 54, pp. 455-459, 2007.
    • (2007) IEEE Trans on Circuits Syst.-II , vol.54 , pp. 455-459
    • Liu, B.1    Liu, X.Z.2
  • 14
    • 0042229518 scopus 로고    scopus 로고
    • Stability and robust stability of quasi-linear impulsive hybrid dynamical systems
    • B. Liu, X.Z. Liu and X.X. Liao, "Stability and robust stability of quasi-linear impulsive hybrid dynamical systems," J. Math. Anal. Appl., 283, pp. 416-430, 2003.
    • (2003) J. Math. Anal. Appl , vol.283 , pp. 416-430
    • Liu, B.1    Liu, X.Z.2    Liao, X.X.3
  • 15
    • 1342263830 scopus 로고    scopus 로고
    • Robust stability analysis of uncertain impulsive systems
    • B. Liu, X.Z. Liu and X.X. Liao, "Robust stability analysis of uncertain impulsive systems," J. Math. Anal. Appl., 290, pp. 519-533, 2004.
    • (2004) J. Math. Anal. Appl , vol.290 , pp. 519-533
    • Liu, B.1    Liu, X.Z.2    Liao, X.X.3
  • 16
    • 31744440550 scopus 로고    scopus 로고
    • Razumikhin-type theorems on exponential stability of impulsive delay systems
    • B. Liu, X.Z. Liu, K.L. Teo and Q. Wang, "Razumikhin-type theorems on exponential stability of impulsive delay systems," IMA J. Appl. Math, 71, pp. 47-61, 2006.
    • (2006) IMA J. Appl. Math , vol.71 , pp. 47-61
    • Liu, B.1    Liu, X.Z.2    Teo, K.L.3    Wang, Q.4
  • 17
    • 0028559633 scopus 로고
    • Stability results for impulsive differential systems with applications to population growth models
    • X. Liu, "Stability results for impulsive differential systems with applications to population growth models," Dyn Stab Syst., 9, pp. 163-174, 1994.
    • (1994) Dyn Stab Syst , vol.9 , pp. 163-174
    • Liu, X.1
  • 18
    • 0035313610 scopus 로고    scopus 로고
    • Uniform asymptotic stability of impulsive delay differential equations
    • X. Liu and G. Ballinger, "Uniform asymptotic stability of impulsive delay differential equations," Comput. Math. Appl., 41, pp. 903-915, 2001.
    • (2001) Comput. Math. Appl , vol.41 , pp. 903-915
    • Liu, X.1    Ballinger, G.2
  • 19
    • 14644391000 scopus 로고    scopus 로고
    • Robust stability and stabilizability of uncertain linear hybrid systems with state delays
    • V.N. Phat, "Robust stability and stabilizability of uncertain linear hybrid systems with state delays," IEEE Trans. Circuits Syst.-II, Express Briefs, 52, pp. 94-99, 2005.
    • (2005) IEEE Trans. Circuits Syst.-II, Express Briefs , vol.52 , pp. 94-99
    • Phat, V.N.1
  • 20
    • 0003728020 scopus 로고    scopus 로고
    • 2nd ed, New Jersey: Prentice-Hall
    • W.J. Rugh, Linear System Theory, 2nd ed., New Jersey: Prentice-Hall, 1996.
    • (1996) Linear System Theory
    • Rugh, W.J.1
  • 22
    • 0033117256 scopus 로고    scopus 로고
    • Razumikhin techniques in impulsive functional differential equations
    • J.H. Shen, "Razumikhin techniques in impulsive functional differential equations," Nonlinear Anal., 36, pp. 119-130, 1999.
    • (1999) Nonlinear Anal , vol.36 , pp. 119-130
    • Shen, J.H.1
  • 23
    • 27644541080 scopus 로고    scopus 로고
    • Stability of impulsive linear differential equations with time delays
    • Y. Zhang and J.T. Sun, "Stability of impulsive linear differential equations with time delays," IEEE Trans. Circuits Syst.-II, Express Briefs, 52, pp. 701-705, 2005.
    • (2005) IEEE Trans. Circuits Syst.-II, Express Briefs , vol.52 , pp. 701-705
    • Zhang, Y.1    Sun, J.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.