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Volumn 52, Issue 10, 2005, Pages 701-705

Stability of Impulsive Linear Differential Equations with Time Delay

Author keywords

Delay; impulsive linear differential equation; Lyapunov function; stability

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; INTEGRAL EQUATIONS; LINEAR EQUATIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; THEOREM PROVING;

EID: 27644541080     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2005.852187     Document Type: Article
Times cited : (46)

References (14)
  • 1
    • 0032630716 scopus 로고    scopus 로고
    • Impulsive control
    • May
    • T. Yang, “Impulsive control,” IEEE Trans. Autom. Contr., vol. 44, no. 5, pp. 1081–1083, May 1999.
    • (1999) IEEE Trans. Autom. Contr. , vol.44 , Issue.5 , pp. 1081-1083
    • Yang, T.1
  • 3
    • 0037215829 scopus 로고    scopus 로고
    • A note on the stability of linear time-delay systems with impulsive inputs
    • Jan.
    • M. De La Sen and N. S. Luo, “A note on the stability of linear time-delay systems with impulsive inputs,” IEEE Trans. Circuits Syst. I. Fundam. Theory Appl., vol. 50, no. 1, pp. 149–152, Jan. 2003.
    • (2003) IEEE Trans. Circuits Syst. I. Fundam. Theory Appl. , vol.50 , Issue.1 , pp. 149-152
    • De La Sen, M.1    Luo, N.S.2
  • 4
    • 0142259447 scopus 로고    scopus 로고
    • Local stability and HOPF bifurcation in small-world delayed networks
    • Apr.
    • C. G. Li and G. R. Chen, “Local stability and HOPF bifurcation in small-world delayed networks,” Chaos, Solitons Fractals, vol. 20, no. 2, pp. 353–361, Apr. 2004.
    • (2004) Chaos, Solitons Fractals , vol.20 , Issue.2 , pp. 353-361
    • Li, C.G.1    Chen, G.R.2
  • 5
    • 0036859535 scopus 로고    scopus 로고
    • A new technique in stability of infinite delay differential equations
    • Nov./Dec.
    • S. N. Zhang, “A new technique in stability of infinite delay differential equations,” Comp. Math. Appl., vol. 44, no. 10-11, pp. 1275–1287, Nov./Dec. 2002.
    • (2002) Comp. Math. Appl. , vol.44 , Issue.10-11 , pp. 1275-1287
    • Zhang, S.N.1
  • 6
    • 0036888066 scopus 로고    scopus 로고
    • Robust decentralized stabilization for a class of large-scale time-delay uncertain impulsive dynamical systems
    • Dec.
    • Z. H. Guan, G. R. Chen, X. H. Yu, and Y. Qin, “Robust decentralized stabilization for a class of large-scale time-delay uncertain impulsive dynamical systems,” Automatica, vol. 38, no. 12, pp. 2075–2084, Dec. 2002.
    • (2002) Automatica , vol.38 , Issue.12 , pp. 2075-2084
    • Guan, Z.H.1    Chen, G.R.2    Yu, X.H.3    Qin, Y.4
  • 7
    • 0037617589 scopus 로고    scopus 로고
    • Less conservative conditions for asymptotic stability of impulsive control systems
    • May
    • J. T. Sun, Y. P. Zhang, and Q. D. Wu, “Less conservative conditions for asymptotic stability of impulsive control systems,” IEEE Trans. Autom. Control, vol. 48, no. 5, pp. 829–831, May 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.5 , pp. 829-831
    • Sun, J.T.1    Zhang, Y.P.2    Wu, Q.D.3
  • 8
    • 0038343414 scopus 로고    scopus 로고
    • Application of impulsive synchronization to communication security
    • Mar.
    • A. Khadra, X. Z. Liu, and X. M. Shen, “Application of impulsive synchronization to communication security,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 3, pp. 341–351, Mar. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.50 , Issue.3 , pp. 341-351
    • Khadra, A.1    Liu, X.Z.2    Shen, X.M.3
  • 9
    • 0035508547 scopus 로고    scopus 로고
    • The stabilization and synchronization of Chua's oscillators via impulsive control
    • Nov.
    • Z. G. Li, C. Y. Wen, Y. C. Soh, and W. X. Xie, “The stabilization and synchronization of Chua's oscillators via impulsive control,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 11, pp. 1351–1355, Nov. 2001.
    • (2001) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.48 , Issue.11 , pp. 1351-1355
    • Li, Z.G.1    Wen, C.Y.2    Soh, Y.C.3    Xie, W.X.4
  • 10
    • 0031258982 scopus 로고    scopus 로고
    • Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication
    • Oct.
    • T. Yang and L. O. Chua, “Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 44, no. 10, pp. 976–988, Oct. 1997.
    • (1997) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.44 , Issue.10 , pp. 976-988
    • Yang, T.1    Chua, L.O.2
  • 11
    • 0141522797 scopus 로고    scopus 로고
    • Stability analysis of impulsive control systems
    • Jul.
    • J. T. Sun and Y. P. Zhang, “Stability analysis of impulsive control systems,” Proc. IEE-Control Theory Appl., vol. 150, no. 4, pp. 331–334, Jul. 2003.
    • (2003) Proc. IEE-Control Theory Appl. , vol.150 , Issue.4 , pp. 331-334
    • Sun, J.T.1    Zhang, Y.P.2
  • 12
    • 2942558809 scopus 로고    scopus 로고
    • Boundedness of the solutions of impulsive differential systems with time-varying delay
    • Jun.
    • Y. Zhang and J. T. Sun, “Boundedness of the solutions of impulsive differential systems with time-varying delay,” Appl. Math. Comput., vol. 154, no. 1, pp. 279–288, Jun. 2004.
    • (2004) Appl. Math. Comput. , vol.154 , Issue.1 , pp. 279-288
    • Zhang, Y.1    Sun, J.T.2
  • 13
    • 0042229518 scopus 로고    scopus 로고
    • Stability and robustness of quasi-linear impulsive hybrid systems
    • Jul.
    • B. Liu, X. Z. Liu, and X. X. Liao, “Stability and robustness of quasi-linear impulsive hybrid systems,” J. Math. Anal. Appl., vol. 283, no. 2, pp. 416–430, Jul. 2003.
    • (2003) J. Math. Anal. Appl. , vol.283 , Issue.2 , pp. 416-430
    • Liu, B.1    Liu, X.Z.2    Liao, X.X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.