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Volumn 119, Issue , 2013, Pages 192-200

Exponential stability of stochastic higher-order BAM neural networks with reaction-diffusion terms and mixed time-varying delays

Author keywords

Discrete and distributed time varying delays; Exponential stability; Reaction diffusion; Stochastic BAM neural networks

Indexed keywords

BI-DIRECTIONAL ASSOCIATIVE MEMORY; DISCRETE AND DISTRIBUTED DELAYS; DISCRETE AND DISTRIBUTED TIME-VARYING DELAYS; LYAPUNOV KRASOVSKII FUNCTION; MIXED TIME-VARYING DELAYS; REACTION DIFFUSION; REACTION-DIFFUSION TERMS; STOCHASTIC BAM NEURAL NETWORKS;

EID: 84881546714     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2013.03.040     Document Type: Article
Times cited : (35)

References (31)
  • 1
    • 0023491172 scopus 로고
    • Adaptive bi-directional associative memories
    • Kosko B. Adaptive bi-directional associative memories. Appl. Opt. 1987, 26:4960-4974.
    • (1987) Appl. Opt. , vol.26 , pp. 4960-4974
    • Kosko, B.1
  • 2
    • 0032069555 scopus 로고    scopus 로고
    • Qualitative analysis of bi-directional associative memory with time delay
    • Liao X., Yu J. Qualitative analysis of bi-directional associative memory with time delay. Int. J. Circuit Theory Appl. 1998, 26:219-229.
    • (1998) Int. J. Circuit Theory Appl. , vol.26 , pp. 219-229
    • Liao, X.1    Yu, J.2
  • 3
    • 0034136641 scopus 로고    scopus 로고
    • Periodic oscillatory solution of bi-directional associative memory networks with delays
    • Cao J., Wang L. Periodic oscillatory solution of bi-directional associative memory networks with delays. Phys. Rev. E 2000, 61:1825-1828.
    • (2000) Phys. Rev. E , vol.61 , pp. 1825-1828
    • Cao, J.1    Wang, L.2
  • 4
    • 0037609583 scopus 로고    scopus 로고
    • Global asymptotic stability of delayed bi-directional associative memory neural networks
    • Cao J. Global asymptotic stability of delayed bi-directional associative memory neural networks. Appl. Math. Comput. 2003, 142:333-339.
    • (2003) Appl. Math. Comput. , vol.142 , pp. 333-339
    • Cao, J.1
  • 5
    • 19344376870 scopus 로고    scopus 로고
    • Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays
    • Arik S. Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays. IEEE Trans. Neural Networks 2005, 16:580-586.
    • (2005) IEEE Trans. Neural Networks , vol.16 , pp. 580-586
    • Arik, S.1
  • 6
    • 33745352035 scopus 로고    scopus 로고
    • Stability in Cohen-Grossberg type BAM neural networks with time-varying delays
    • Cao J., Song Q. Stability in Cohen-Grossberg type BAM neural networks with time-varying delays. Nonlinearity 2006, 19:1601-1617.
    • (2006) Nonlinearity , vol.19 , pp. 1601-1617
    • Cao, J.1    Song, Q.2
  • 7
    • 51049102561 scopus 로고    scopus 로고
    • Delay-dependent stability analysis for impulsive BAM neural networks with time-varying delays
    • Li K. Delay-dependent stability analysis for impulsive BAM neural networks with time-varying delays. Comput. Math. Appl. 2008, 56:2088-2099.
    • (2008) Comput. Math. Appl. , vol.56 , pp. 2088-2099
    • Li, K.1
  • 8
    • 45849135646 scopus 로고    scopus 로고
    • Impulsive effects on global asymptotic stability of delay BAM neural networks
    • Chen J., Cui B. Impulsive effects on global asymptotic stability of delay BAM neural networks. Chaos Solitons Fractals 2008, 38:1115-1125.
    • (2008) Chaos Solitons Fractals , vol.38 , pp. 1115-1125
    • Chen, J.1    Cui, B.2
  • 9
    • 0025434843 scopus 로고
    • Higher-ordered and intraconnected bidirectional associative memories
    • Simpson P.K. Higher-ordered and intraconnected bidirectional associative memories. IEEE Trans. Syst. Man Cybern. 1990, 20:637-653.
    • (1990) IEEE Trans. Syst. Man Cybern. , vol.20 , pp. 637-653
    • Simpson, P.K.1
  • 10
    • 78650742392 scopus 로고    scopus 로고
    • Mean square exponential stability in high-order stochastic impulsive BAM neural networks with time-varying delays
    • Gu H. Mean square exponential stability in high-order stochastic impulsive BAM neural networks with time-varying delays. Neurocomputing 2011, 74:720-729.
    • (2011) Neurocomputing , vol.74 , pp. 720-729
    • Gu, H.1
  • 11
    • 10644236158 scopus 로고    scopus 로고
    • Exponential stability of high-order bidirectional associative memory neural networks with time delays
    • Cao J., Liang J., Lam J. Exponential stability of high-order bidirectional associative memory neural networks with time delays. Physica D 2004, 199:425-436.
    • (2004) Physica D , vol.199 , pp. 425-436
    • Cao, J.1    Liang, J.2    Lam, J.3
  • 12
    • 33751202426 scopus 로고    scopus 로고
    • Global exponential stability of impulsive high-order BAM neural networks with time-varying delays
    • Ho D.W.C., Liang J.L., Lam J. Global exponential stability of impulsive high-order BAM neural networks with time-varying delays. Neural Networks 2006, 19:1581-1590.
    • (2006) Neural Networks , vol.19 , pp. 1581-1590
    • Ho, D.W.C.1    Liang, J.L.2    Lam, J.3
  • 13
    • 60549097701 scopus 로고    scopus 로고
    • Global exponential stability analysis of bidirectional associative memory neural networks with time-varying delays
    • Wang Y. Global exponential stability analysis of bidirectional associative memory neural networks with time-varying delays. Nonlinear Anal.. Real World Anal. 2009, 10:1527-1539.
    • (2009) Nonlinear Anal.. Real World Anal. , vol.10 , pp. 1527-1539
    • Wang, Y.1
  • 14
    • 84866853414 scopus 로고    scopus 로고
    • Stability of delayed neural networks with time-varying impulses
    • Zhang W., Tang Y., Fang J., Wu X. Stability of delayed neural networks with time-varying impulses. Neural Networks 2012, 36:59-63.
    • (2012) Neural Networks , vol.36 , pp. 59-63
    • Zhang, W.1    Tang, Y.2    Fang, J.3    Wu, X.4
  • 15
    • 77954562851 scopus 로고    scopus 로고
    • Exponential stabilization of neural networks with various activation functions and mixed time-varying delays
    • Phat V.N., Trinh H. Exponential stabilization of neural networks with various activation functions and mixed time-varying delays. IEEE Trans. Neural Networks 2010, 21:1180-1184.
    • (2010) IEEE Trans. Neural Networks , vol.21 , pp. 1180-1184
    • Phat, V.N.1    Trinh, H.2
  • 16
    • 69249215491 scopus 로고    scopus 로고
    • Delay-distribution-dependent stability of stochastic discrete-time neural networks with randomly mixed time-varying delays
    • Tang Y., Fang J., Xia M., Yu D. Delay-distribution-dependent stability of stochastic discrete-time neural networks with randomly mixed time-varying delays. Neurocomputing 2009, 72:3830-3838.
    • (2009) Neurocomputing , vol.72 , pp. 3830-3838
    • Tang, Y.1    Fang, J.2    Xia, M.3    Yu, D.4
  • 17
    • 0004063090 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • Haykin S. Neural Networks 1994, Prentice-Hall, Englewood Cliffs, NJ.
    • (1994) Neural Networks
    • Haykin, S.1
  • 18
    • 56949091980 scopus 로고    scopus 로고
    • Exponential stability of stochastic reaction-diffusion Cohen-Grossberg neural networks with delays
    • Wan L., Zhou Q. Exponential stability of stochastic reaction-diffusion Cohen-Grossberg neural networks with delays. Appl. Math. Comput. 2008, 206:818-824.
    • (2008) Appl. Math. Comput. , vol.206 , pp. 818-824
    • Wan, L.1    Zhou, Q.2
  • 19
    • 72149084130 scopus 로고    scopus 로고
    • Stability in mean of partial variables for stochastic reaction-diffusion systems
    • Zhang Y., Luo Q., Lai X. Stability in mean of partial variables for stochastic reaction-diffusion systems. Nonlinear Anal. 2009, 71:e550-e559.
    • (2009) Nonlinear Anal. , vol.71
    • Zhang, Y.1    Luo, Q.2    Lai, X.3
  • 20
    • 79955862579 scopus 로고    scopus 로고
    • Stability analysis of stochastic reaction-diffusion delayed neural networks with Levy noise
    • Peng J., Liu Z. Stability analysis of stochastic reaction-diffusion delayed neural networks with Levy noise. Neural Comput. Appl. 2011, 20:535-541.
    • (2011) Neural Comput. Appl. , vol.20 , pp. 535-541
    • Peng, J.1    Liu, Z.2
  • 21
    • 80055019029 scopus 로고    scopus 로고
    • Global asymptotic stability of stochastic reaction-diffusion neural networks with time delays in the leakage terms
    • Li Z., Xu R. Global asymptotic stability of stochastic reaction-diffusion neural networks with time delays in the leakage terms. Commun. Nonlinear Sci. Numer. Simulation 2012, 17:1681-1689.
    • (2012) Commun. Nonlinear Sci. Numer. Simulation , vol.17 , pp. 1681-1689
    • Li, Z.1    Xu, R.2
  • 22
    • 80055008388 scopus 로고    scopus 로고
    • Exponential synchronization of stochastic fuzzy cellular neural networks with time delay in the leakage term and reaction-diffusion
    • Gan Q., Xu R., Yang P. Exponential synchronization of stochastic fuzzy cellular neural networks with time delay in the leakage term and reaction-diffusion. Commun. Nonlinear Sci. Numer. Simulation 2012, 17:1862-1870.
    • (2012) Commun. Nonlinear Sci. Numer. Simulation , vol.17 , pp. 1862-1870
    • Gan, Q.1    Xu, R.2    Yang, P.3
  • 23
    • 74449088027 scopus 로고    scopus 로고
    • Delay-independent stability of stochastic reaction-diffusion neural networks with Dirichlet boundary conditions
    • Liu Z., Peng J. Delay-independent stability of stochastic reaction-diffusion neural networks with Dirichlet boundary conditions. Neural Comput. Appl. 2010, 19:151-158.
    • (2010) Neural Comput. Appl. , vol.19 , pp. 151-158
    • Liu, Z.1    Peng, J.2
  • 24
    • 78651583116 scopus 로고    scopus 로고
    • Global exponential stability of high-order BAM neural networks with reaction-diffusion terms
    • Zhou F., Ma C. Global exponential stability of high-order BAM neural networks with reaction-diffusion terms. Int. J. Bifurcat. Chaos 2010, 20:3209-3223.
    • (2010) Int. J. Bifurcat. Chaos , vol.20 , pp. 3209-3223
    • Zhou, F.1    Ma, C.2
  • 25
    • 77955269312 scopus 로고    scopus 로고
    • Global asymptotic stability of stochastic BAM neural networks with distributed delays and reaction-diffusion terms
    • Balasubramaniam P., Vidhya C. Global asymptotic stability of stochastic BAM neural networks with distributed delays and reaction-diffusion terms. J. Comput. Appl. Math. 2010, 234:3458-3466.
    • (2010) J. Comput. Appl. Math. , vol.234 , pp. 3458-3466
    • Balasubramaniam, P.1    Vidhya, C.2
  • 26
    • 84863121664 scopus 로고    scopus 로고
    • Dynamics analysis of impulsive stochastic high-order BAM neural networks with Markovian jumping and mixed delays
    • Jiang H., Liu J. Dynamics analysis of impulsive stochastic high-order BAM neural networks with Markovian jumping and mixed delays. Int. J. Biomath. 2011, 4:149-170.
    • (2011) Int. J. Biomath. , vol.4 , pp. 149-170
    • Jiang, H.1    Liu, J.2
  • 27
    • 79952008405 scopus 로고    scopus 로고
    • Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays
    • Zhu Q., Li X., Yang X. Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays. Appl. Math. Comput. 2011, 217:6078-6091.
    • (2011) Appl. Math. Comput. , vol.217 , pp. 6078-6091
    • Zhu, Q.1    Li, X.2    Yang, X.3
  • 28
    • 33644969138 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solution for delayed high-order Hopfield-type neural networks
    • Xiang H., Yan K., Wang B. Existence and global exponential stability of periodic solution for delayed high-order Hopfield-type neural networks. Phys. Lett. A 2006, 352:341-349.
    • (2006) Phys. Lett. A , vol.352 , pp. 341-349
    • Xiang, H.1    Yan, K.2    Wang, B.3
  • 29
    • 15744372086 scopus 로고    scopus 로고
    • Global exponential stability of Cohen-Grossberg neural networks with variable delays
    • Zhang J., Suda Y., Komine H. Global exponential stability of Cohen-Grossberg neural networks with variable delays. Phys. Lett. A 2005, 338:44-50.
    • (2005) Phys. Lett. A , vol.338 , pp. 44-50
    • Zhang, J.1    Suda, Y.2    Komine, H.3
  • 30
    • 73949149433 scopus 로고    scopus 로고
    • Impulsive control and synchronization for delayed neural networks with reaction-diffusion terms
    • Hu C., Jiang H., Teng Z. Impulsive control and synchronization for delayed neural networks with reaction-diffusion terms. IEEE Trans. Neural Networks 2010, 21:67-81.
    • (2010) IEEE Trans. Neural Networks , vol.21 , pp. 67-81
    • Hu, C.1    Jiang, H.2    Teng, Z.3
  • 31
    • 84860580696 scopus 로고    scopus 로고
    • Stochastic resonance in an ensemble of bistable systems under stable distribution noises and heterogeneous coupling
    • Tang Y., Zou W., Lu J., Kurths J. Stochastic resonance in an ensemble of bistable systems under stable distribution noises and heterogeneous coupling. Phys. Rev. E 2012, 85:046207.
    • (2012) Phys. Rev. E , vol.85 , pp. 046207
    • Tang, Y.1    Zou, W.2    Lu, J.3    Kurths, J.4


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