Synchronization of Reaction-Diffusion Delayed Non-Autonomous Fuzzy Cellular Neural Networks

In this paper,we investigate the synchronization of reaction-diffusion delayed non-autonomous fuzzy cellular neural networks(FCNNs) with Dirichlet boundary conditions. The approaches developed here extend the ideas and techniques derived in recent literatures. By using the Lyapunov-Lasall principle of functional differential equations and utlizing some inequality techniques, we can obtain some new stability criterias .The result imposes constraint conditions on the network parameters independently of the delay parameter.The result is also easy to check and plays an important role in the designs and applications of globally exponentially stable fuzzy neural circuits. Index Terms—Fuzzy cellular neural networks; Synchronization ;Reaction-diffusion; Non-autonomous ; Lyapunov-Lasall principle; Inequality techniques; Globally exponentially stable. ✦

[1]  Zidong Wang,et al.  On global asymptotic stability of neural networks with discrete and distributed delays , 2005 .

[2]  CHUA Cellular Neural Networks : Theory LEON 0 , 2004 .

[3]  Ta-lun Yang,et al.  The global stability of fuzzy cellular neural network , 1996 .

[4]  Louis M. Pecora,et al.  Fundamentals of synchronization in chaotic systems, concepts, and applications. , 1997, Chaos.

[5]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[6]  Leon O. Chua,et al.  Cellular neural networks: applications , 1988 .

[7]  Zhenkun Huang,et al.  Global exponential stability of BAM neural networks with transmission delays and nonlinear impulses , 2008 .

[8]  Chen An,et al.  The Global Stability of Fuzzy Cellular Neural Networks , 2001 .

[9]  Jinde Cao,et al.  Existence and Global Exponential Stability of Periodic Solution of a Class of impulsive Networks with Infinite Delays , 2007, Int. J. Neural Syst..

[10]  Jun-Guo Lu,et al.  Global exponential stability of fuzzy cellular neural networks with delays and reaction–diffusion terms , 2008 .

[11]  Guanrong Chen,et al.  Dynamics of periodic delayed neural networks , 2004, Neural Networks.

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

[13]  Maoan Han,et al.  Exponential lag synchronization of delayed fuzzy cellular neural networks with impulses , 2009 .

[14]  Tianping Chen,et al.  Robust synchronization of delayed neural networks based on adaptive control and parameters identification , 2006 .

[15]  Jinde Cao,et al.  Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays , 2006, Neurocomputing.

[16]  Jinde Cao,et al.  Globally exponential stability conditions for cellular neural networks with time-varying delays , 2002, Appl. Math. Comput..

[17]  Guanrong Chen,et al.  Global Synchronization of Coupled Delayed Neural Networks and Applications to Chaotic CNN Models , 2004, Int. J. Bifurc. Chaos.

[18]  Wei Ding,et al.  Synchronization of Delayed Fuzzy Cellular Neural Networks , 2008, 2008 Fourth International Conference on Natural Computation.

[19]  Maoan Han,et al.  Synchronization of delayed fuzzy cellular neural networks based on adaptive control , 2008 .

[20]  Leon O. Chua,et al.  Fuzzy cellular neural networks: theory , 1996, 1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96).

[21]  Jinde Cao,et al.  Global exponential stability of delayed cellular neural networks with impulses , 2007, Neurocomputing.