메뉴 건너뛰기




Volumn 56, Issue 9, 2009, Pages 744-748

Exponential stability of impulsive delayed linear differential equations

Author keywords

Global exponential stability; Impulsive delayed linear differential equations; Time delays

Indexed keywords

DIFFERENTIAL EQUATIONS; LYAPUNOV FUNCTIONS; TIME DELAY;

EID: 70349607266     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2009.2027947     Document Type: Article
Times cited : (59)

References (23)
  • 1
    • 0032297855 scopus 로고    scopus 로고
    • Stability analysis of systems with impulsive effects
    • Dec
    • H. Ye, A. N. Michel, and L. Hou, "Stability analysis of systems with impulsive effects," IEEE Trans. Autom. Control, vol. 43, no. 12, pp. 1719-1723, Dec. 1998.
    • (1998) IEEE Trans. Autom. Control , vol.43 , Issue.12 , pp. 1719-1723
    • Ye, H.1    Michel, A.N.2    Hou, L.3
  • 2
    • 0032630716 scopus 로고    scopus 로고
    • Impulsive control
    • May
    • T. Yang, "Impulsive control," IEEE Trans. Autom. Control, vol. 44, no. 5, pp. 1081-1083, May 1999.
    • (1999) IEEE Trans. Autom. Control , vol.44 , Issue.5 , pp. 1081-1083
    • Yang, T.1
  • 3
    • 0033164492 scopus 로고    scopus 로고
    • Impulsive stabilization of functional differential equations by Lyapunov-Razumikhin functions
    • Jul
    • J. R. Yan and J. H. Shen, "Impulsive stabilization of functional differential equations by Lyapunov-Razumikhin functions," Nonlinear Anal., vol. 37, no. 2, pp. 245-255, Jul. 1999.
    • (1999) Nonlinear Anal , vol.37 , Issue.2 , pp. 245-255
    • Yan, J.R.1    Shen, J.H.2
  • 4
    • 0034239354 scopus 로고    scopus 로고
    • Stability of the zero solution of impulsive differential equations by the Lyapunov second method
    • Aug
    • M. U. Akhmetov and A. Zafer, "Stability of the zero solution of impulsive differential equations by the Lyapunov second method," J. Math. Anal. Appl., vol. 248, no. 1, pp. 69-82, Aug. 2000.
    • (2000) J. Math. Anal. Appl , vol.248 , Issue.1 , pp. 69-82
    • Akhmetov, M.U.1    Zafer, A.2
  • 5
    • 0035313610 scopus 로고    scopus 로고
    • Uniform asymptotic stability of impulsive delay differential equations
    • Apr
    • X. Z. Liu and G. Ballinger, "Uniform asymptotic stability of impulsive delay differential equations," Comput.Math. Appl., vol. 41, no. 7/8, pp. 903-915, Apr. 2001.
    • (2001) Comput.Math. Appl , vol.41 , Issue.7-8 , pp. 903-915
    • Liu, X.Z.1    Ballinger, G.2
  • 10
    • 36348949277 scopus 로고    scopus 로고
    • Stability criteria for impulsive systems with time delay and unstable system matrices
    • Oct
    • X. Z. Liu, X. M. Shen, Y. Zhang, and Q. Wang, "Stability criteria for impulsive systems with time delay and unstable system matrices," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 54, no. 10, pp. 2288-2298, Oct. 2007.
    • (2007) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.54 , Issue.10 , pp. 2288-2298
    • Liu, X.Z.1    Shen, X.M.2    Zhang, Y.3    Wang, Q.4
  • 11
    • 0028559633 scopus 로고
    • Stability results for impulsive differential systems with applications to population growth models
    • X. Z. Liu, "Stability results for impulsive differential systems with applications to population growth models," Dyn. Stab. Syst., vol. 9, no. 2, pp. 163-174, 1994.
    • (1994) Dyn. Stab. Syst , vol.9 , Issue.2 , pp. 163-174
    • Liu, X.Z.1
  • 12
    • 22944489711 scopus 로고    scopus 로고
    • Exponential stability of some scalar impulsive delay differential equation
    • L. Berezansky and L. Idels, "Exponential stability of some scalar impulsive delay differential equation," Commun. Appl. Anal., vol. 2, pp. 301-309, 1998.
    • (1998) Commun. Appl. Anal , vol.2 , pp. 301-309
    • Berezansky, L.1    Idels, L.2
  • 13
    • 33846079071 scopus 로고    scopus 로고
    • The method of Lyapunov functionals and exponential stability of impulsive systems with time delay
    • Apr
    • X. Z. Liu and Q. Wang, "The method of Lyapunov functionals and exponential stability of impulsive systems with time delay," Nonlinear Anal., vol. 66, no. 7, pp. 1465-1484, Apr. 2007.
    • (2007) Nonlinear Anal , vol.66 , Issue.7 , pp. 1465-1484
    • Liu, X.Z.1    Wang, Q.2
  • 14
    • 34047103895 scopus 로고    scopus 로고
    • Impulsive stabilization of delay differential systems via the Lyapunov-Razumikhin method
    • Aug
    • Q. Wang and X. Z. Liu, "Impulsive stabilization of delay differential systems via the Lyapunov-Razumikhin method," Appl. Math. Lett., vol. 20, no. 8, pp. 839-845, Aug. 2007.
    • (2007) Appl. Math. Lett , vol.20 , Issue.8 , pp. 839-845
    • Wang, Q.1    Liu, X.Z.2
  • 15
    • 0033104380 scopus 로고    scopus 로고
    • On delayed impulsive Hopfield neural networks
    • Mar
    • Z. H. Guan and G. R. Chen, "On delayed impulsive Hopfield neural networks," Neural Netw., vol. 12, no. 2, pp. 273-280, Mar. 1999.
    • (1999) Neural Netw , vol.12 , Issue.2 , pp. 273-280
    • Guan, Z.H.1    Chen, G.R.2
  • 16
    • 33745916498 scopus 로고    scopus 로고
    • Stability analysis of delay neural networks with impulsive effects
    • Aug
    • Z. C. Yang and D. Y. Xu, "Stability analysis of delay neural networks with impulsive effects," IEEE Trans. Circuits Syst. II, Exp. Briefs vol. 52, no. 8, pp. 517-521, Aug. 2005.
    • (2005) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.52 , Issue.8 , pp. 517-521
    • Yang, Z.C.1    Xu, D.Y.2
  • 17
    • 27644541080 scopus 로고    scopus 로고
    • Stability of impulsive linear differential equations with time delay
    • Oct
    • Y. Zhang and J. T. Sun, "Stability of impulsive linear differential equations with time delay," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 10, pp. 701-705, Oct. 2005.
    • (2005) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.52 , Issue.10 , pp. 701-705
    • Zhang, Y.1    Sun, J.T.2
  • 18
    • 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
  • 19
    • 0001532953 scopus 로고
    • Exponential stability of linear delay impulsive differential equations
    • Aug
    • A. Anokhin, L. Berezansky, and E. Braverman, "Exponential stability of linear delay impulsive differential equations," J. Math. Anal. Appl. vol. 193, no. 3, pp. 923-941, Aug. 1995.
    • (1995) J. Math. Anal. Appl , vol.193 , Issue.3 , pp. 923-941
    • Anokhin, A.1    Berezansky, L.2    Braverman, E.3
  • 20
    • 33645810395 scopus 로고    scopus 로고
    • Synchronization in general complex delayed dynamical networks
    • Mar
    • J. Zhou and T. P. Chen, "Synchronization in general complex delayed dynamical networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 53, no. 3, pp. 733-744, Mar. 2006.
    • (2006) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.53 , Issue.3 , pp. 733-744
    • Zhou, J.1    Chen, T.P.2
  • 21
    • 34548051108 scopus 로고    scopus 로고
    • Synchronization in complex delayed dynamical networks with impulsive effects
    • Oct
    • J. Zhou, L. Xiang, and Z. R. Liu, "Synchronization in complex delayed dynamical networks with impulsive effects," Phys. A, vol. 384, no. 2, pp. 684-692, Oct. 2007.
    • (2007) Phys. A , vol.384 , Issue.2 , pp. 684-692
    • Zhou, J.1    Xiang, L.2    Liu, Z.R.3
  • 22
    • 46449094194 scopus 로고    scopus 로고
    • Robust impulsive synchronization of complex delayed dynamical networks
    • Jul
    • S. M. Cai, J. Zhou, L. Xiang, and Z. R. Liu, "Robust impulsive synchronization of complex delayed dynamical networks," Phys. Lett. A, vol. 372, no. 30, pp. 4990-4995, Jul. 2008.
    • (2008) Phys. Lett. A , vol.372 , Issue.30 , pp. 4990-4995
    • Cai, S.M.1    Zhou, J.2    Xiang, L.3    Liu, Z.R.4
  • 23
    • 70350715539 scopus 로고    scopus 로고
    • Q. J. Wu, L. Xiang, and J. Zhou, Average consensus in delayed networks of dynamic agents with impulsive effects, in Lecture Notes in CSSITE, 4, LNICST. Berlin, Germany: Springer-Varlag, 2009, pt. I, pp. 1124-1138.
    • Q. J. Wu, L. Xiang, and J. Zhou, "Average consensus in delayed networks of dynamic agents with impulsive effects," in Lecture Notes in CSSITE, vol. 4, LNICST. Berlin, Germany: Springer-Varlag, 2009, pt. I, pp. 1124-1138.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.