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Volumn 77, Issue 1, 2012, Pages 275-280

Synchronization of stochastic Markovian jump neural networks with reaction-diffusion terms

Author keywords

LMIs; Markovian jump neural networks; Reaction diffusion; Synchronization

Indexed keywords

DIRICHLET BOUNDARY CONDITION; LMIS; LYAPUNOV-KRASOVSKII FUNCTIONAL METHOD; MARKOVIAN JUMPS; REACTION DIFFUSION; REACTION-DIFFUSION TERMS; SIMULATION EXAMPLE; STOCHASTIC ANALYSIS; SYNCHRONIZATION PROBLEM;

EID: 80955142664     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2011.08.024     Document Type: Article
Times cited : (29)

References (34)
  • 1
    • 41649121303 scopus 로고    scopus 로고
    • Global synchronization in an array of delayed neural networks with hybrid coupling
    • Cao J., Chen G., Li P. Global synchronization in an array of delayed neural networks with hybrid coupling. IEEE Trans. Syst. Man Cybernet. Part B 2008, 38:488-498.
    • (2008) IEEE Trans. Syst. Man Cybernet. Part B , vol.38 , pp. 488-498
    • Cao, J.1    Chen, G.2    Li, P.3
  • 2
    • 34548798072 scopus 로고    scopus 로고
    • Synchronization in an array of linearly stochastically coupled networks with time delays
    • Cao J., Wang Z., Sun Y. Synchronization in an array of linearly stochastically coupled networks with time delays. Physica A 2008, 385:718-728.
    • (2008) Physica A , vol.385 , pp. 718-728
    • Cao, J.1    Wang, Z.2    Sun, Y.3
  • 4
    • 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
  • 5
    • 69449094056 scopus 로고    scopus 로고
    • Synchronization of nonidentical chaotic neural networks with time delays
    • Huang H., Feng G. Synchronization of nonidentical chaotic neural networks with time delays. Neural Networks 2009, 22:1841-1845.
    • (2009) Neural Networks , vol.22 , pp. 1841-1845
    • Huang, H.1    Feng, G.2
  • 6
    • 77955472119 scopus 로고    scopus 로고
    • Synchronization of stochastic perturbed chaotic neural networks with mixed delays
    • Li X., Ding C., Zhu Q. Synchronization of stochastic perturbed chaotic neural networks with mixed delays. J. Franklin Inst. 2010, 347:1266-1280.
    • (2010) J. Franklin Inst. , vol.347 , pp. 1266-1280
    • Li, X.1    Ding, C.2    Zhu, Q.3
  • 7
    • 78649456530 scopus 로고    scopus 로고
    • Synchronization control for arrays of coupled discrete-time delayed Cohen-Grossberg neural networks
    • Li T., Song A., Fei S. Synchronization control for arrays of coupled discrete-time delayed Cohen-Grossberg neural networks. Neurocomputing 2010, 74:197-204.
    • (2010) Neurocomputing , vol.74 , pp. 197-204
    • Li, T.1    Song, A.2    Fei, S.3
  • 8
    • 56449106456 scopus 로고    scopus 로고
    • Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks
    • Liang J., Wang Z., Liu Y., Liu X. Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks. IEEE Trans. Neural Networks 2008, 19:1910-1921.
    • (2008) IEEE Trans. Neural Networks , vol.19 , pp. 1910-1921
    • Liang, J.1    Wang, Z.2    Liu, Y.3    Liu, X.4
  • 9
    • 0033701686 scopus 로고    scopus 로고
    • Stability of Hopfield neural networks with reaction-diffusion terms
    • Liao X., Fu Y., Gao J., Zhao X. Stability of Hopfield neural networks with reaction-diffusion terms. Acta Electron. Sin. 2000, 28:78-81.
    • (2000) Acta Electron. Sin. , vol.28 , pp. 78-81
    • Liao, X.1    Fu, Y.2    Gao, J.3    Zhao, X.4
  • 10
    • 67949117118 scopus 로고    scopus 로고
    • Stability and synchronization of discrete-time Markovian jumping neural networks with mixed mode-dependent time delays
    • Liu Y., Wang Z., Liang J., Liu X. Stability and synchronization of discrete-time Markovian jumping neural networks with mixed mode-dependent time delays. IEEE Trans. Neural Networks 2009, 20:1102-1116.
    • (2009) IEEE Trans. Neural Networks , vol.20 , pp. 1102-1116
    • Liu, Y.1    Wang, Z.2    Liang, J.3    Liu, X.4
  • 11
    • 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
  • 12
    • 33846866254 scopus 로고    scopus 로고
    • Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delays
    • Lou X., Cui B. Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delays. Comput. Math. Appl. 2006, 52:897-904.
    • (2006) Comput. Math. Appl. , vol.52 , pp. 897-904
    • Lou, X.1    Cui, B.2
  • 13
    • 44649088856 scopus 로고    scopus 로고
    • Adaptive synchronization of uncertain dynamical networks with delayed coupling
    • Lu J., Cao J. Adaptive synchronization of uncertain dynamical networks with delayed coupling. Nonlinear Dyn. 2008, 53:107-115.
    • (2008) Nonlinear Dyn. , vol.53 , pp. 107-115
    • Lu, J.1    Cao, J.2
  • 14
    • 64749110386 scopus 로고    scopus 로고
    • Robust global exponential stability for interval reaction-diffusion Hopfield neural networks with distributed delays
    • Lu J. Robust global exponential stability for interval reaction-diffusion Hopfield neural networks with distributed delays. IEEE Trans. Circuits Syst. II 2007, 54:1115-1119.
    • (2007) IEEE Trans. Circuits Syst. II , vol.54 , pp. 1115-1119
    • Lu, J.1
  • 15
    • 79956113019 scopus 로고    scopus 로고
    • Stability of stochastic Markovian jump neural networks with mode-dependent delays
    • Ma Q., Xu S., Zou Y., Lu J. Stability of stochastic Markovian jump neural networks with mode-dependent delays. Neurocomputing 2011, 74:2157-2163.
    • (2011) Neurocomputing , vol.74 , pp. 2157-2163
    • Ma, Q.1    Xu, S.2    Zou, Y.3    Lu, J.4
  • 16
    • 77649187113 scopus 로고    scopus 로고
    • Stability criteria for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays
    • Pan J., Liu X., Zhong S. Stability criteria for impulsive reaction-diffusion Cohen-Grossberg neural networks with time-varying delays. Math. Comput. Model. 2010, 51:1037-1050.
    • (2010) Math. Comput. Model. , vol.51 , pp. 1037-1050
    • Pan, J.1    Liu, X.2    Zhong, S.3
  • 17
    • 79952014648 scopus 로고    scopus 로고
    • ∞ filtering for nonlinear Markovian jump neutral systems
    • ∞ filtering for nonlinear Markovian jump neutral systems. Int. J. Syst. Sci. 2011, 42:767-780.
    • (2011) Int. J. Syst. Sci. , vol.42 , pp. 767-780
    • Shen, H.1    Xu, S.2    Zhou, J.3    Lu, J.4
  • 18
    • 77954177357 scopus 로고    scopus 로고
    • Design of controller on synchronization of chaotic neural networks with mixed time-varying delays
    • Song Q. Design of controller on synchronization of chaotic neural networks with mixed time-varying delays. Neurocomputing 2009, 72:3288-3295.
    • (2009) Neurocomputing , vol.72 , pp. 3288-3295
    • Song, Q.1
  • 19
    • 43849110315 scopus 로고    scopus 로고
    • Adaptive lag synchronization in unknown stochastic chaotic neural networks with discrete and distributed time-varying delays
    • Tang Y., Qiu R., Fang J., Miao Q., Xia M. Adaptive lag synchronization in unknown stochastic chaotic neural networks with discrete and distributed time-varying delays. Phys. Lett. A 2008, 372:4425-4433.
    • (2008) Phys. Lett. A , vol.372 , pp. 4425-4433
    • Tang, Y.1    Qiu, R.2    Fang, J.3    Miao, Q.4    Xia, M.5
  • 20
    • 77953126784 scopus 로고    scopus 로고
    • Global exponential synchronization in delayed reaction-diffusion cellular neural networks with the Dirichlet boundary conditions
    • Wang K., Teng Z., Jiang H. Global exponential synchronization in delayed reaction-diffusion cellular neural networks with the Dirichlet boundary conditions. Math. Comput. Model. 2010, 52:12-24.
    • (2010) Math. Comput. Model. , vol.52 , pp. 12-24
    • Wang, K.1    Teng, Z.2    Jiang, H.3
  • 21
    • 41649114128 scopus 로고    scopus 로고
    • Stochastic exponential stability of the delayed reaction-diffusion recurrent neural networks with Markovian jumping parameters
    • Wang L., Zhang F., Wang Y. Stochastic exponential stability of the delayed reaction-diffusion recurrent neural networks with Markovian jumping parameters. Phys. Lett. A 2008, 372:3201-3209.
    • (2008) Phys. Lett. A , vol.372 , pp. 3201-3209
    • Wang, L.1    Zhang, F.2    Wang, Y.3
  • 22
    • 34548487292 scopus 로고    scopus 로고
    • Synchronization of a class of delayed neural networks with reaction-diffusion terms
    • Wang Y., Cao J. Synchronization of a class of delayed neural networks with reaction-diffusion terms. Phys. Lett. A 2007, 369:201-211.
    • (2007) Phys. Lett. A , vol.369 , pp. 201-211
    • Wang, Y.1    Cao, J.2
  • 23
    • 73949121103 scopus 로고    scopus 로고
    • Global asymptotic stability of reaction-diffusion Cohen-Grossberg neural networks with continuously distributed delays
    • Wang Z.S., Zhang H. Global asymptotic stability of reaction-diffusion Cohen-Grossberg neural networks with continuously distributed delays. IEEE Trans. Neural Networks 2010, 21:39-49.
    • (2010) IEEE Trans. Neural Networks , vol.21 , pp. 39-49
    • Wang, Z.S.1    Zhang, H.2
  • 24
    • 0031258982 scopus 로고    scopus 로고
    • Impulsive stabilization for control and synchronization of chaotic system: theory and application to secure communication
    • Yang T., Chua L.O. Impulsive stabilization for control and synchronization of chaotic system: theory and application to secure communication. IEEE Trans. Circuits Syst. I 1997, 44:976-988.
    • (1997) IEEE Trans. Circuits Syst. I , vol.44 , pp. 976-988
    • Yang, T.1    Chua, L.O.2
  • 25
    • 78650244228 scopus 로고    scopus 로고
    • Global exponential synchronization of fuzzy cellular neural networks with delays and reaction-diffusion terms
    • Yu F., Jiang H. Global exponential synchronization of fuzzy cellular neural networks with delays and reaction-diffusion terms. Neurocomputing 2011, 74:509-515.
    • (2011) Neurocomputing , vol.74 , pp. 509-515
    • Yu, F.1    Jiang, H.2
  • 26
    • 75749158475 scopus 로고    scopus 로고
    • Synchronization control of switched linearly coupled neural networks with delay
    • Yu W., Cao J., Lu W. Synchronization control of switched linearly coupled neural networks with delay. Neurocomputing 2010, 73:858-866.
    • (2010) Neurocomputing , vol.73 , pp. 858-866
    • Yu, W.1    Cao, J.2    Lu, W.3
  • 27
    • 77954546505 scopus 로고    scopus 로고
    • Exponential stability of a class of stochastic system with Markovian jump parameters and mode-dependent mixed time-delays
    • Wang Z., Liu Y., Liu X. Exponential stability of a class of stochastic system with Markovian jump parameters and mode-dependent mixed time-delays. IEEE Trans. Autom. Control 2010, 55:1656-1662.
    • (2010) IEEE Trans. Autom. Control , vol.55 , pp. 1656-1662
    • Wang, Z.1    Liu, Y.2    Liu, X.3
  • 28
    • 0038293070 scopus 로고    scopus 로고
    • ∞ filtering for uncertain Markovian jump systems with mode-dependent time delays
    • ∞ filtering for uncertain Markovian jump systems with mode-dependent time delays. IEEE Trans. Autom. Control 2003, 48:900-908.
    • (2003) IEEE Trans. Autom. Control , vol.48 , pp. 900-908
    • Xu, S.1    Chen, T.2    Lam, J.3
  • 29
    • 67650357979 scopus 로고    scopus 로고
    • Delay-dependent exponential stability for uncertain stochastic Hopfield neural networks with time-varying delays
    • Zhang B., Xu S., Zong G., Zou Y. Delay-dependent exponential stability for uncertain stochastic Hopfield neural networks with time-varying delays. IEEE Trans. Circuits Syst. I 2009, 56:1241-1247.
    • (2009) IEEE Trans. Circuits Syst. I , vol.56 , pp. 1241-1247
    • Zhang, B.1    Xu, S.2    Zong, G.3    Zou, Y.4
  • 30
    • 77952582245 scopus 로고    scopus 로고
    • Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control
    • Zhang H., Ma T., Huang G., Wang Z. Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control. IEEE Trans. Syst. Man Cybernet. Part B 2010, 40:831-843.
    • (2010) IEEE Trans. Syst. Man Cybernet. Part B , vol.40 , pp. 831-843
    • Zhang, H.1    Ma, T.2    Huang, G.3    Wang, Z.4
  • 31
    • 78650826755 scopus 로고    scopus 로고
    • Stabilization for Markovian jump systems with partial information on transition probability based on free-connection weighting matrices
    • Zhang Y., He Y., Wu M., Zhang J. Stabilization for Markovian jump systems with partial information on transition probability based on free-connection weighting matrices. Automatica 2011, 47:79-84.
    • (2011) Automatica , vol.47 , pp. 79-84
    • Zhang, Y.1    He, Y.2    Wu, M.3    Zhang, J.4
  • 32
    • 77949487703 scopus 로고    scopus 로고
    • Robust global synchronization of complex networks with neutral-type delayed nodes
    • Zhang Y., Xu S., Chu Y., Lu J. Robust global synchronization of complex networks with neutral-type delayed nodes. Appl. Math. Comput. 2010, 216:768-778.
    • (2010) Appl. Math. Comput. , vol.216 , pp. 768-778
    • Zhang, Y.1    Xu, S.2    Chu, Y.3    Lu, J.4
  • 33
    • 73849134380 scopus 로고    scopus 로고
    • ∞ filtering for uncertain Markovian jump systems with mode-dependent distributed delays
    • ∞ filtering for uncertain Markovian jump systems with mode-dependent distributed delays. Int. J. Adapt. Control Signal Process. 2010, 24:83-94.
    • (2010) Int. J. Adapt. Control Signal Process. , vol.24 , pp. 83-94
    • Zhao, H.1    Xu, S.2    Zou, Y.3
  • 34
    • 77955510720 scopus 로고    scopus 로고
    • Robust exponential stability of Markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays
    • Zhu Q., Cao J. Robust exponential stability of Markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Trans. Neural Networks 2010, 21:1314-1325.
    • (2010) IEEE Trans. Neural Networks , vol.21 , pp. 1314-1325
    • Zhu, Q.1    Cao, J.2


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