Synchronization of Delayed Reaction-diffusion Neural Networks with Markovian Jumping Parameters

This paper deals with the drive-response type synchronization of delayed reaction-diffusion neural networks with Markovian jumping parameters. In terms of linear matrix inequalities, a sufficient condition is proposed to ensure the drive system and the response system to be stochastically synchronized. An example is provided to demonstrate the effectiveness of the proposed result. KeywordsNeural networks, Reaction-diffusion, Markovian jumping parameters, Synchronization

[1]  Shengyuan Xu,et al.  Finite-time robust stochastic stability of uncertain stochastic delayed reaction-diffusion genetic regulatory networks , 2011, Neurocomputing.

[2]  Xuyang Lou,et al.  Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delays , 2006, Comput. Math. Appl..

[3]  Shuzi Yang,et al.  Stability of general neural networks with reaction-diffusion , 2007, Science in China Series : Information Sciences.

[4]  Linshan Wang,et al.  Stochastic exponential stability of the delayed reaction–diffusion recurrent neural networks with Markovian jumping parameters , 2008 .

[5]  Jinde Cao,et al.  Robust Synchronization Criteria for Recurrent Neural Networks via Linear Feedback , 2007, Int. J. Bifurc. Chaos.

[6]  Jinde Cao,et al.  Synchronization control of stochastic delayed neural networks , 2007 .

[7]  Lixian Zhang,et al.  Mode-dependent Hinfinity filtering for discrete-time Markovian jump linear systems with partly unknown transition probabilities , 2009, Autom..

[8]  Ping Yan,et al.  Exponential Synchronization of Delayed Fuzzy Cohen-Grossberg Neural Networks with Reaction Diffusion Term , 2010, AICI.

[9]  Jinde Cao,et al.  Synchronization of a class of delayed neural networks with reaction–diffusion terms☆ , 2007 .

[10]  James Lam,et al.  Robust H∞ control of uncertain Markovian jump systems with time-delay , 2000, IEEE Trans. Autom. Control..

[11]  Feiqi Deng,et al.  Adaptive Exponential Synchronization of Stochastic Delay Neural Networks with Reaction-Diffusion , 2009, ISNN.

[12]  Shengyuan Xu,et al.  Stability of stochastic Markovian jump neural networks with mode-dependent delays , 2011, Neurocomputing.

[13]  Shengyuan Xu,et al.  Robust H∞ filtering for uncertain Markovian jump systems with mode‐dependent distributed delays , 2009 .

[14]  Shengyuan Xu,et al.  Fuzzy H ∞ filtering for nonlinear Markovian jump neutral systems , 2011, Int. J. Syst. Sci..