SYNCHRONIZATION OF NEURAL NETWORKS OF NEUTRAL TYPE WITH STOCHASTIC PERTURBATION

In this letter, the problem of feedback controller design to achieve synchronization for neural network of neutral type with stochastic perturbation is considered. Based on Lyapunov method and LMI (linear matrix inequality) framework, the goal of this letter is to derive an existence criterion of the controller for the synchronization between master and response networks.

[1]  Ju H. Park,et al.  Further result on asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays , 2006, Appl. Math. Comput..

[2]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[3]  S. Arik.  Global asymptotic stability of a larger class of neural networks with constant time delay , 2003 .

[4]  L. Arnold.  Stochastic Differential Equations: Theory and Applications , 1992 .

[5]  J. Nazuno.  Haykin, Simon. Neural networks: A comprehensive foundation, Prentice Hall, Inc. Segunda Edición, 1999 , 2000 .

[6]  Ju H. Park,et al.  LMI optimization approach on stability for delayed neural networks of neutral-type , 2008, Appl. Math. Comput..

[7]  S. Arik,et al.  On the global asymptotic stability of delayed cellular neural networks , 2000 .

[8]  Ju H. Park,et al.  A new stability analysis of delayed cellular neural networks , 2006, Appl. Math. Comput..

[9]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[10]  Ju H. Park.  A novel criterion for global asymptotic stability of BAM neural networks with time delays , 2006 .

[11]  Jinde Cao,et al.  Adaptive synchronization for delayed neural networks with stochastic perturbation , 2008, J. Frankl. Inst..

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

[13]  K. Gu.  An integral inequality in the stability problem of time-delay systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[14]  J J Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[15]  Ju H. Park,et al.  Novel delay-dependent robust stability criterion of delayed cellular neural networks , 2007 .

[16]  Kolmanovskii,et al.  Introduction to the Theory and Applications of Functional Differential Equations , 1999 .

[17]  Wu‐Hua Chen,et al.  Mean square exponential stability of uncertain stochastic delayed neural networks , 2008 .

[18]  Zidong Wang,et al.  Robust stability for stochastic Hopfield neural networks with time delays , 2006 .

[19]  Xue-Zhong He,et al.  Delay-independent stability in bidirectional associative memory networks , 1994, IEEE Trans. Neural Networks.

[20]  B Kosko,et al.  Adaptive bidirectional associative memories. , 1987, Applied optics.

[21]  Ju H. Park,et al.  A new stability criterion for bidirectional associative memory neural networks of neutral-type , 2008, Appl. Math. Comput..

[22]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[23]  Shengyuan Xu,et al.  Global asymptotic stability analysis for cellular neural networks with time delays , 2006 .

[24]  Ju H. Park,et al.  Further note on global exponential stability of uncertain cellular neural networks with variable delays , 2007, Appl. Math. Comput..

[25]  Ju H. Park.  On global stability criterion for neural networks with discrete and distributed delays , 2006 .

[26]  Ju H. Park.  Further results on passivity analysis of delayed cellular neural networks , 2007 .

[27]  Shengyuan Xu,et al.  Robust stochastic stabilization and H∞ control of uncertain neutral stochastic time-delay systems☆ , 2006 .