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Volumn 194, Issue 1, 2007, Pages 186-198

Exponential stability of impulsive cellular neural networks with time delay via Lyapunov functionals

Author keywords

Exponential stability; Impulsive cellular neural networks; Perturbation; Stabilization; Time delay

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; LYAPUNOV FUNCTIONS; PROBLEM SOLVING; TIME DELAY;

EID: 35649008940     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.04.112     Document Type: Article
Times cited : (34)

References (24)
  • 1
    • 0024088955 scopus 로고
    • Cellular neural networks: theory
    • Chua L., and Yang L. Cellular neural networks: theory. IEEE Trans. Circuits Syst. 35 (1988) 1257-1271
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 1257-1271
    • Chua, L.1    Yang, L.2
  • 2
    • 0033730279 scopus 로고    scopus 로고
    • On the global asymptotic stability of delayed cellular neural networks
    • Arik S., and Tavsanglu V. On the global asymptotic stability of delayed cellular neural networks. IEEE Trans. Circuits Syst. I 47 (2000) 571-574
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , pp. 571-574
    • Arik, S.1    Tavsanglu, V.2
  • 3
    • 10644236158 scopus 로고    scopus 로고
    • Exponential stability of high-order bidirectional associative memory neural networks with time delays
    • Cao J., Liang J., and Lam J. Exponential stability of high-order bidirectional associative memory neural networks with time delays. Physica D 199 (2004) 425-436
    • (2004) Physica D , vol.199 , pp. 425-436
    • Cao, J.1    Liang, J.2    Lam, J.3
  • 4
    • 20144369395 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of recurrent neural networks with time delays
    • Cao J., and Wang J. Global exponential stability and periodicity of recurrent neural networks with time delays. IEEE Trans Circuits Syst. I 52 (2005) 920-931
    • (2005) IEEE Trans Circuits Syst. I , vol.52 , pp. 920-931
    • Cao, J.1    Wang, J.2
  • 5
    • 35649022255 scopus 로고    scopus 로고
    • L. Chua, T. Roska, Cellular neural networks with nonlinear and delay-type template elements, in: Proceedings of 1990 IEEE International Workshop on Cellular Neural Networks Applications, pp. 12-25.
  • 7
    • 0141750629 scopus 로고    scopus 로고
    • Further results on the stability of delayed cellular neural networks
    • Li X., Huang L., and Wu J. Further results on the stability of delayed cellular neural networks. IEEE Trans. Circuits Syst. I 50 (2003) 1239-1242
    • (2003) IEEE Trans. Circuits Syst. I , vol.50 , pp. 1239-1242
    • Li, X.1    Huang, L.2    Wu, J.3
  • 8
    • 23144431801 scopus 로고    scopus 로고
    • LMI approach for global periodicity of neural networks with time-varying delays
    • Rong L. LMI approach for global periodicity of neural networks with time-varying delays. IEEE Trans. Circuits Syst. I 52 (2005) 1451-1458
    • (2005) IEEE Trans. Circuits Syst. I , vol.52 , pp. 1451-1458
    • Rong, L.1
  • 9
    • 0026882236 scopus 로고
    • Stability and dynamics of delay-type general and cellular neural networks
    • Roska T., Wu C., Balsi M., and Chua L. Stability and dynamics of delay-type general and cellular neural networks. IEEE Trans. Circuits Syst. 39 (1992) 487-490
    • (1992) IEEE Trans. Circuits Syst. , vol.39 , pp. 487-490
    • Roska, T.1    Wu, C.2    Balsi, M.3    Chua, L.4
  • 10
    • 0027582973 scopus 로고
    • Stability of cellular neural networks with dominant nonlinear and delay-type template
    • Roska T., Wu C., and Chua L. Stability of cellular neural networks with dominant nonlinear and delay-type template. IEEE Trans Circuits Syst. I 40 (1993) 270-272
    • (1993) IEEE Trans Circuits Syst. I , vol.40 , pp. 270-272
    • Roska, T.1    Wu, C.2    Chua, L.3
  • 11
    • 0034204697 scopus 로고    scopus 로고
    • A new sufficient condition for complete stability of cellular neural networks with delay
    • Takahshi N. A new sufficient condition for complete stability of cellular neural networks with delay. IEEE Trans. Circuits Syst. I 47 (2000) 793-799
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , pp. 793-799
    • Takahshi, N.1
  • 13
    • 3042750061 scopus 로고    scopus 로고
    • Stability of artificial neural networks with impulses
    • Gopalsamy K. Stability of artificial neural networks with impulses. Appl. Math. Comput. 154 (2004) 783-813
    • (2004) Appl. Math. Comput. , vol.154 , pp. 783-813
    • Gopalsamy, K.1
  • 15
    • 14844333215 scopus 로고    scopus 로고
    • Impulsive delay differential inequality and stability of neural networks
    • Xu D., and Yang Z. Impulsive delay differential inequality and stability of neural networks. J. Math. Anal. Appl. 305 (2005) 107-120
    • (2005) J. Math. Anal. Appl. , vol.305 , pp. 107-120
    • Xu, D.1    Yang, Z.2
  • 16
    • 0025632457 scopus 로고
    • Stability of a class of nonreciprocal cellular neural networks
    • Chua L., and Roska T. Stability of a class of nonreciprocal cellular neural networks. IEEE Trans. Circuits Syst. 37 (1990) 1520-1527
    • (1990) IEEE Trans. Circuits Syst. , vol.37 , pp. 1520-1527
    • Chua, L.1    Roska, T.2
  • 17
    • 0032118810 scopus 로고    scopus 로고
    • On the complete stability of non-symmetric cellular neural networks
    • Takahashi N., and Chua L. On the complete stability of non-symmetric cellular neural networks. IEEE Trans. Circuits Syst. I 45 (1998) 754-758
    • (1998) IEEE Trans. Circuits Syst. I , vol.45 , pp. 754-758
    • Takahashi, N.1    Chua, L.2
  • 18
    • 33846079071 scopus 로고    scopus 로고
    • Exponential stability of impulsive functional differential equations via Lyapunov functionals
    • Liu X., and Wang Q. Exponential stability of impulsive functional differential equations via Lyapunov functionals. Nonlinear Anal. 66 (2007) 1465-1484
    • (2007) Nonlinear Anal. , vol.66 , pp. 1465-1484
    • Liu, X.1    Wang, Q.2
  • 19
    • 33846342654 scopus 로고    scopus 로고
    • Exponential stability and periodicity of cellular neural networks with time delay
    • Zhong S., and Liu X. Exponential stability and periodicity of cellular neural networks with time delay. Math. Comput. Modell. 45 (2006) 1231-1240
    • (2006) Math. Comput. Modell. , vol.45 , pp. 1231-1240
    • Zhong, S.1    Liu, X.2
  • 20
    • 0038344694 scopus 로고    scopus 로고
    • Global asymptotic stability of high-order Hopfield type neural networks with time delays
    • Xu B., Liu X., and Liao X. Global asymptotic stability of high-order Hopfield type neural networks with time delays. Comput. Math. Appl. 45 (2003) 1729-1737
    • (2003) Comput. Math. Appl. , vol.45 , pp. 1729-1737
    • Xu, B.1    Liu, X.2    Liao, X.3
  • 21
    • 22944438138 scopus 로고    scopus 로고
    • Exponential stability for impulsive delay differential equations by Razumikhin method
    • Wang Q., and Liu X. Exponential stability for impulsive delay differential equations by Razumikhin method. J. Math. Anal. Appl. 309 (2005) 462-473
    • (2005) J. Math. Anal. Appl. , vol.309 , pp. 462-473
    • Wang, Q.1    Liu, X.2
  • 22
    • 0001532953 scopus 로고
    • Exponential stability of linear delay impulsive differential equations
    • Anokhin A., Berezansky L., and Braverman E. Exponential stability of linear delay impulsive differential equations. J. Math. Anal. Appl. 193 (1995) 923-941
    • (1995) J. Math. Anal. Appl. , vol.193 , pp. 923-941
    • Anokhin, A.1    Berezansky, L.2    Braverman, E.3
  • 23
    • 22944489711 scopus 로고    scopus 로고
    • Exponential stability of some scalar impulsive delay differential equation
    • Berezansky L., and Idels L. Exponential stability of some scalar impulsive delay differential equation. Commun. Appl. Math. Anal. 2 (1998) 301-309
    • (1998) Commun. Appl. Math. Anal. , vol.2 , pp. 301-309
    • Berezansky, L.1    Idels, L.2
  • 24
    • 0001487315 scopus 로고    scopus 로고
    • Existence and uniqueness results for impulsive delay differential equations
    • Ballinger G., and Liu X. Existence and uniqueness results for impulsive delay differential equations. Dyn. Contin. Discrete Impul. Syst. 5 (1999) 579-591
    • (1999) Dyn. Contin. Discrete Impul. Syst. , vol.5 , pp. 579-591
    • Ballinger, G.1    Liu, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.