메뉴 건너뛰기




Volumn 51, Issue 9-10, 2010, Pages 1037-1050

Stability criteria for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays

Author keywords

Cohen Grossberg neural network; Global exponential stability; Impulsive; Poincar inequality; Reaction diffusion; Time delay

Indexed keywords

COHEN-GROSSBERG NEURAL NETWORKS; DELAY DIFFERENTIAL INEQUALITY; EQUILIBRIUM POINT; GLOBAL EXPONENTIAL STABILITY; NEUMANN BOUNDARY CONDITION; POINCARE; REACTION DIFFUSION; REACTION-DIFFUSION TERMS; SUFFICIENT CONDITIONS; TIME-VARYING DELAY; TOPOLOGICAL DEGREE THEORY;

EID: 77649187113     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2009.12.004     Document Type: Article
Times cited : (74)

References (27)
  • 1
    • 0020970741 scopus 로고
    • Absolute stability and global pattern formation and parallel memory storage by competitive neural networks
    • Cohen M., and Grossberg S. Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybern. 13 (1983) 815-826
    • (1983) IEEE Trans. Syst. Man Cybern. , vol.13 , pp. 815-826
    • Cohen, M.1    Grossberg, S.2
  • 2
    • 3442880393 scopus 로고    scopus 로고
    • Boundedness and stability for Cohen-Grossberg neural network with time-varying delays
    • Cao J., and Liang L. Boundedness and stability for Cohen-Grossberg neural network with time-varying delays. J. Math. Anal. Appl. 296 (2004) 665-685
    • (2004) J. Math. Anal. Appl. , vol.296 , pp. 665-685
    • Cao, J.1    Liang, L.2
  • 3
    • 20144369395 scopus 로고    scopus 로고
    • Globally exponentially stability and periodicity of recurrent neural networks with time delays
    • Cao J., and Wang J. Globally exponentially 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
  • 4
    • 0028559633 scopus 로고
    • Stability results for impulsive differential systems with applications to population growth models
    • Liu X.Z. Stability results for impulsive differential systems with applications to population growth models. Dyn. Stab. Syst. 9 2 (1994) 163-174
    • (1994) Dyn. Stab. Syst. , vol.9 , Issue.2 , pp. 163-174
    • Liu, X.Z.1
  • 5
    • 39549114453 scopus 로고    scopus 로고
    • Impulsive stabilization of high-order hopfield-type neural networks with time-varying delays
    • Liu X.Z., and Wang Q. Impulsive stabilization of high-order hopfield-type neural networks with time-varying delays. IEEE Trans. Neural Netw. 19 (2008) 71-79
    • (2008) IEEE Trans. Neural Netw. , vol.19 , pp. 71-79
    • Liu, X.Z.1    Wang, Q.2
  • 6
    • 33744506602 scopus 로고    scopus 로고
    • Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays
    • Yang Z., and Xu D. Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays. Appl. Math. Comput. 177 (2006) 63-78
    • (2006) Appl. Math. Comput. , vol.177 , pp. 63-78
    • Yang, Z.1    Xu, D.2
  • 7
    • 20444368794 scopus 로고    scopus 로고
    • Global stability analysis of Cohen-Grossberg neural networks with time varying delays
    • Arik S., and Orman Z. Global stability analysis of Cohen-Grossberg neural networks with time varying delays. Phys. Lett. A 341 (2005) 410-421
    • (2005) Phys. Lett. A , vol.341 , pp. 410-421
    • Arik, S.1    Orman, Z.2
  • 8
    • 33846354981 scopus 로고    scopus 로고
    • Global dynamic analysis of general Cohen-Grossberg neural networks with impulse
    • Chen Z., and Ruan J. Global dynamic analysis of general Cohen-Grossberg neural networks with impulse. Chaos Solitons Fractals 32 (2007) 1830-1837
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 1830-1837
    • Chen, Z.1    Ruan, J.2
  • 9
    • 34247160411 scopus 로고    scopus 로고
    • Stability of Cohen-Grossberg neural networks with unbounded distributed delays
    • Huang T., Li C., and Chen G. Stability of Cohen-Grossberg neural networks with unbounded distributed delays. Chaos Solitons Fractals 34 (2007) 992-996
    • (2007) Chaos Solitons Fractals , vol.34 , pp. 992-996
    • Huang, T.1    Li, C.2    Chen, G.3
  • 10
    • 0041661956 scopus 로고    scopus 로고
    • Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays
    • Liang J., and Cao J. Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays. Phys. Lett. A 314 (2003) 434-442
    • (2003) Phys. Lett. A , vol.314 , pp. 434-442
    • Liang, J.1    Cao, J.2
  • 11
    • 8444240791 scopus 로고    scopus 로고
    • Criteria for exponential stability of Cohen-Grossberg neural networks
    • Liao X., Li C., and Wang K. Criteria for exponential stability of Cohen-Grossberg neural networks. Neural Netw. 17 (2004) 1401-1414
    • (2004) Neural Netw. , vol.17 , pp. 1401-1414
    • Liao, X.1    Li, C.2    Wang, K.3
  • 12
    • 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
  • 13
    • 35348986026 scopus 로고    scopus 로고
    • Convergence analysis of stochastic hybrid bidirectional associative memory neural networks with delays
    • Wan L., and Zhou Q. Convergence analysis of stochastic hybrid bidirectional associative memory neural networks with delays. Phys. Lett. A 370 (2007) 423-432
    • (2007) Phys. Lett. A , vol.370 , pp. 423-432
    • Wan, L.1    Zhou, Q.2
  • 14
    • 15744372086 scopus 로고    scopus 로고
    • Global exponential stability of Cohen-Grossberg neural networks with variable delays
    • Zhang J., Suda Y., and Komine H. Global exponential stability of Cohen-Grossberg neural networks with variable delays. Phys. Lett. A 338 (2005) 44-50
    • (2005) Phys. Lett. A , vol.338 , pp. 44-50
    • Zhang, J.1    Suda, Y.2    Komine, H.3
  • 15
    • 33846390068 scopus 로고    scopus 로고
    • Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with time-varying delays
    • Zhou Q., Wan L., and Sun J. Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with time-varying delays. Chaos Solitons Fractals 32 (2007) 1713-1719
    • (2007) Chaos Solitons Fractals , vol.32 , pp. 1713-1719
    • Zhou, Q.1    Wan, L.2    Sun, J.3
  • 16
    • 55949127155 scopus 로고    scopus 로고
    • Exponential stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms
    • Li K., and Song Q. Exponential stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms. Neurocomputing 72 (2008) 231-240
    • (2008) Neurocomputing , vol.72 , pp. 231-240
    • Li, K.1    Song, Q.2
  • 17
    • 39849111203 scopus 로고    scopus 로고
    • Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays
    • Liu P., Yi F., Yang J., et al. Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays. Physica D 237 (2008) 475-485
    • (2008) Physica D , vol.237 , pp. 475-485
    • Liu, P.1    Yi, F.2    Yang, J.3
  • 18
    • 33847027599 scopus 로고    scopus 로고
    • Boundedness and exponential stability for nonautonomous cellular neural networks with reaction-diffusion terms
    • Lou X., and Cui B. Boundedness and exponential stability for nonautonomous cellular neural networks with reaction-diffusion terms. Chaos Solitons Fractals 33 (2007) 653-662
    • (2007) Chaos Solitons Fractals , vol.33 , pp. 653-662
    • Lou, X.1    Cui, B.2
  • 19
    • 34548525395 scopus 로고    scopus 로고
    • Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions
    • Lu J. Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions. Chaos Solitons Fractals 35 (2008) 116-125
    • (2008) Chaos Solitons Fractals , vol.35 , pp. 116-125
    • Lu, J.1
  • 20
    • 43649099661 scopus 로고    scopus 로고
    • Convergence dynamics of stochastic reaction-diffusion recurrent neural networks with continuously distributed delays
    • Lv Y., Lv W., and Sun J. Convergence dynamics of stochastic reaction-diffusion recurrent neural networks with continuously distributed delays. Nonlinear Anal. RWA 9 (2008) 1590-1606
    • (2008) Nonlinear Anal. RWA , vol.9 , pp. 1590-1606
    • Lv, Y.1    Lv, W.2    Sun, J.3
  • 21
    • 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
  • 22
    • 31144468063 scopus 로고    scopus 로고
    • Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays
    • Wang L., and Gao Y. Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays. Phys. Lett. A 350 (2006) 342-348
    • (2006) Phys. Lett. A , vol.350 , pp. 342-348
    • Wang, L.1    Gao, Y.2
  • 23
    • 33750309145 scopus 로고    scopus 로고
    • Dynamical behaviors of Cohen-Grossberg neural networks with delays and reaction-diffusion terms
    • Zhao H., and Wang K. Dynamical behaviors of Cohen-Grossberg neural networks with delays and reaction-diffusion terms. Neurocomputing 70 (2006) 536-543
    • (2006) Neurocomputing , vol.70 , pp. 536-543
    • Zhao, H.1    Wang, K.2
  • 26
    • 24944577579 scopus 로고    scopus 로고
    • Differential inequality with delay and impulse and its applications to design robust control
    • Yue D., Xu S., and Liu Y. Differential inequality with delay and impulse and its applications to design robust control. Control Theory Appl. 16 4 (1999) 519-524
    • (1999) Control Theory Appl. , vol.16 , Issue.4 , pp. 519-524
    • Yue, D.1    Xu, S.2    Liu, Y.3
  • 27
    • 77649181664 scopus 로고
    • Amer. Math. Soc., Providence, RI
    • Cronin-Scanlon J. Fixed Points and Topological Degree in Nonlinear Analysis. Math. Surveys vol. 11 (1964), Amer. Math. Soc., Providence, RI
    • (1964) Math. Surveys , vol.11
    • Cronin-Scanlon, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.