Complexity of Reaction-diffusion CNN

In this paper, a class of impulsive BAM fuzzy cellular neural networks with distributed delays and reaction-diffusion terms is formulated and investigated. By employing the delay differential inequality and inequality technique developed by Xu et al., some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for impulsive BAM fuzzy cellular neural networks with distributed delays and reaction-diffusion terms are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on system parameters, diffusion effect and impulsive disturbed intention. It is believed that these results are significant and useful for the design and applications of BAM fuzzy cellular neural networks. An example is given to show the effectiveness of the results obtained here. Keywords--Bi-directional associative memory; fuzzy cellular neural networks; reaction-diffusion; delays; impulses; global exponential stab...

• Type: Journal
• Year: 2006
• Where: IJBC
• Authors: Makoto Itoh, Leon O. Chua
• Keywords: Fuzzy Cellular Neural Networks, Global Exponential Stability, IJBC 2006, Impulsive Bam