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Volumn 4, Issue 1, 2010, Pages 103-112

Global exponential stability of neutral-type impulsive neural networks with discrete and distributed delays

Author keywords

Global exponential stability; Impulsive neural networks; Linear matrix inequality; Lyapunov Krasovskii functional; Neutral type

Indexed keywords

DISCRETE AND DISTRIBUTED DELAYS; GLOBAL EXPONENTIAL STABILITY; IMPULSIVE NEURAL NETWORKS; LINEAR MATRIX INEQUALITY APPROACH; LYAPUNOV-KRASOVSKII FUNCTIONAL; LYAPUNOV-KRASOVSKII FUNCTIONALS; NEUTRAL-TYPE;

EID: 70350567912     PISSN: 1751570X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nahs.2009.08.004     Document Type: Article
Times cited : (65)

References (27)
  • 2
    • 0033967086 scopus 로고    scopus 로고
    • On impulsive autoassociative neural networks
    • Guan Z.H., Lam J., and Chen G. On impulsive autoassociative neural networks. Neural Netw. 13 (2000) 63-69
    • (2000) Neural Netw. , vol.13 , pp. 63-69
    • Guan, Z.H.1    Lam, J.2    Chen, G.3
  • 3
    • 46749117785 scopus 로고    scopus 로고
    • Delay-dependent robust stability of neutral-type neural networks with time delays
    • Qiu J., and Cao J. Delay-dependent robust stability of neutral-type neural networks with time delays. J. Math. Control Sci. Appl. 1 (2007) 179-188
    • (2007) J. Math. Control Sci. Appl. , vol.1 , pp. 179-188
    • Qiu, J.1    Cao, J.2
  • 4
    • 2942558809 scopus 로고    scopus 로고
    • Boundedness of the solutions of impulsive differential systems with time-varying delay
    • Zhang Y., and Sun J.T. Boundedness of the solutions of impulsive differential systems with time-varying delay. Appl. Math. Comput. 154 (2004) 279-288
    • (2004) Appl. Math. Comput. , vol.154 , pp. 279-288
    • Zhang, Y.1    Sun, J.T.2
  • 5
    • 0026895542 scopus 로고
    • The gamma model - A new neural model for temporal processing
    • De Vries B., and Principe J.C. The gamma model - A new neural model for temporal processing. Neural Netw. 5 (1992) 565-576
    • (1992) Neural Netw. , vol.5 , pp. 565-576
    • De Vries, B.1    Principe, J.C.2
  • 6
    • 1842635257 scopus 로고    scopus 로고
    • Dynamics of a two-neuron system with discrete and distributed delays
    • Ruan S., and Filfil R. Dynamics of a two-neuron system with discrete and distributed delays. Physica D 191 (2004) 323-342
    • (2004) Physica D , vol.191 , pp. 323-342
    • Ruan, S.1    Filfil, R.2
  • 7
    • 0034439996 scopus 로고    scopus 로고
    • An integral inequality in the stability problem of time-delay systems
    • Australia, December
    • K. Gu, An integral inequality in the stability problem of time-delay systems, in: Proc IEEE CDC, Australia, December 2000, pp. 2805-2810
    • (2000) Proc IEEE CDC , pp. 2805-2810
    • Gu, K.1
  • 8
    • 44649106892 scopus 로고    scopus 로고
    • Global exponential stability for impulsive cellular neural networks with time-varying delays
    • Ahmed S., and Stamova I.M. Global exponential stability for impulsive cellular neural networks with time-varying delays. Nonlinear Anal. TMA 69 (2008) 786-795
    • (2008) Nonlinear Anal. TMA , vol.69 , pp. 786-795
    • Ahmed, S.1    Stamova, I.M.2
  • 9
    • 0034239354 scopus 로고    scopus 로고
    • Stability of the zero solution of impulsive differential equation by the Lyapunov second method
    • Akhmetov M.U., and Zafer A. Stability of the zero solution of impulsive differential equation by the Lyapunov second method. J. Math. Anal. Appl. 248 (2000) 69-82
    • (2000) J. Math. Anal. Appl. , vol.248 , pp. 69-82
    • Akhmetov, M.U.1    Zafer, A.2
  • 10
    • 0242608076 scopus 로고    scopus 로고
    • Global asymptotic stability of a large class of neural networks with constant time delays
    • Arik S. Global asymptotic stability of a large class of neural networks with constant time delays. Phys. Lett. A 311 (2003) 504-511
    • (2003) Phys. Lett. A , vol.311 , pp. 504-511
    • Arik, S.1
  • 11
    • 0001075269 scopus 로고
    • Stability in asymmetric Hopfield nets with transmission delays
    • Gopalsamy K., and He X.Z. Stability in asymmetric Hopfield nets with transmission delays. Physica D 76 (1994) 344-358
    • (1994) Physica D , vol.76 , pp. 344-358
    • Gopalsamy, K.1    He, X.Z.2
  • 12
    • 34748841400 scopus 로고    scopus 로고
    • Exponential stability of impulsive neural networks with time-varying delays
    • Huang Z.-T., Yang Q.-G., and Luo X.-S. Exponential stability of impulsive neural networks with time-varying delays. Chaos Solitons Fractrals 35 (2008) 770-780
    • (2008) Chaos Solitons Fractrals , vol.35 , pp. 770-780
    • Huang, Z.-T.1    Yang, Q.-G.2    Luo, X.-S.3
  • 13
    • 33646160998 scopus 로고    scopus 로고
    • Boundedness and global stability for nonautonomous recurrent neural networks with distributed delays
    • Jiang H., and Teng Z. Boundedness and global stability for nonautonomous recurrent neural networks with distributed delays. Chaos Solitons Fractals 30 (2006) 83-93
    • (2006) Chaos Solitons Fractals , vol.30 , pp. 83-93
    • Jiang, H.1    Teng, Z.2
  • 15
    • 0037410027 scopus 로고    scopus 로고
    • Boundedness for impulsive delay differential equations and applications to population growth models
    • Liu X.Zh., and Ballinger G. Boundedness for impulsive delay differential equations and applications to population growth models. Nonlinear Anal. 53 (2003) 1041-1062
    • (2003) Nonlinear Anal. , vol.53 , pp. 1041-1062
    • Liu, X.Zh.1    Ballinger, G.2
  • 16
    • 40649091390 scopus 로고    scopus 로고
    • Delay-dependent stability analysis for impulsive neural networks with time varying delays
    • Long S., and Xu D. Delay-dependent stability analysis for impulsive neural networks with time varying delays. Neurocomputing 71 (2008) 1705-1713
    • (2008) Neurocomputing , vol.71 , pp. 1705-1713
    • Long, S.1    Xu, D.2
  • 17
    • 38049088038 scopus 로고    scopus 로고
    • LMI optimization approach on stability for delayed neural networks of neutral-type
    • Park J.H., Kwon O.M., and Lee S.M. LMI optimization approach on stability for delayed neural networks of neutral-type. Appl. Math. Comput. 196 (2008) 236-244
    • (2008) Appl. Math. Comput. , vol.196 , pp. 236-244
    • Park, J.H.1    Kwon, O.M.2    Lee, S.M.3
  • 18
    • 33846004186 scopus 로고    scopus 로고
    • Exponential stability of impulsive neural networks with time-varying delays and reaction-diffusion terms
    • Qiu J. Exponential stability of impulsive neural networks with time-varying delays and reaction-diffusion terms. Neurocomputing 70 (2007) 1102-1108
    • (2007) Neurocomputing , vol.70 , pp. 1102-1108
    • Qiu, J.1
  • 19
    • 70350738725 scopus 로고    scopus 로고
    • Global exponential stability results for neutral-type impulsive neural networks
    • 10.1016/j.nonrwa. 2008.10.050
    • Rakkiyappan R., Balasubramaniam P., and Cao J. Global exponential stability results for neutral-type impulsive neural networks. Nonlinear Anal. RWA (2008) 10.1016/j.nonrwa. 2008.10.050
    • (2008) Nonlinear Anal. RWA
    • Rakkiyappan, R.1    Balasubramaniam, P.2    Cao, J.3
  • 20
    • 37249055492 scopus 로고    scopus 로고
    • Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays
    • Song Q., and Zhang J. Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays. Nonlinear Anal. RWA 9 (2008) 500-510
    • (2008) Nonlinear Anal. RWA , vol.9 , pp. 500-510
    • Song, Q.1    Zhang, J.2
  • 21
    • 34249725047 scopus 로고    scopus 로고
    • Global exponential stability of delayed cellular neural networks with impulses
    • Xia Y., Cao J., and Cheng S.S. Global exponential stability of delayed cellular neural networks with impulses. Neurocomputing 70 (2007) 2495-2501
    • (2007) Neurocomputing , vol.70 , pp. 2495-2501
    • Xia, Y.1    Cao, J.2    Cheng, S.S.3
  • 22
    • 14844333215 scopus 로고    scopus 로고
    • Impulsive delay differential inequality and stability of neural networks
    • Xu D., and Yang Zh.Ch. 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, Zh.Ch.2
  • 23
    • 22144483495 scopus 로고    scopus 로고
    • Delay-dependent exponential stability for a class of neural networks with time delays
    • Xu S., Lam J., Ho D.W.C., and Zou Y. Delay-dependent exponential stability for a class of neural networks with time delays. J. Comput. Math. Appl. 183 (2005) 16-28
    • (2005) J. Comput. Math. Appl. , vol.183 , pp. 16-28
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3    Zou, Y.4
  • 24
    • 33750034621 scopus 로고    scopus 로고
    • Stability and periodicity in delayed cellular neural networks with impulsive effects
    • Yang Y., and Cao J. Stability and periodicity in delayed cellular neural networks with impulsive effects. Nonlinear Anal. RWA 8 (2007) 362-374
    • (2007) Nonlinear Anal. RWA , vol.8 , pp. 362-374
    • Yang, Y.1    Cao, J.2
  • 25
    • 33745916498 scopus 로고    scopus 로고
    • Stability analysis of delay neural networks with impulsive effects
    • Yang Zh.Ch., and Xu D. Stability analysis of delay neural networks with impulsive effects. IEEE Trans. Circuits Syst. II: Express Briefs 52 (2005) 517-521
    • (2005) IEEE Trans. Circuits Syst. II: Express Briefs , vol.52 , pp. 517-521
    • Yang, Zh.Ch.1    Xu, D.2
  • 26
    • 0344876153 scopus 로고    scopus 로고
    • Global exponential convergence analysis of delayed neural networks with time varying delays
    • Zhang Q., Wei X., and Xu J. Global exponential convergence analysis of delayed neural networks with time varying delays. Phys. Lett. A 318 (2003) 537-544
    • (2003) Phys. Lett. A , vol.318 , pp. 537-544
    • Zhang, Q.1    Wei, X.2    Xu, J.3
  • 27
    • 0347511634 scopus 로고    scopus 로고
    • Global asymptotic stability of Hopfield neural network involving distributed delays
    • Zhao H. Global asymptotic stability of Hopfield neural network involving distributed delays. Neural Netw. 17 (2004) 47-53
    • (2004) Neural Netw. , vol.17 , pp. 47-53
    • Zhao, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.