Title :
Global Robust Exponential Stability for a Class of Delayed Reaction-Diffusion Neural Network
Author :
Pan, Jie ; Zhong, Shouming
Author_Institution :
Coll. of Appl. Math., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
In this paper, the global exponential robust stability is investigated for a class of reaction-diffusion Cohen-Grossberg neural network with delays, this neural network contains time invariant uncertain parameters whose values are unknown but bounded in given compact sets. By employing the Lyapunov-functional method, some new sufficient conditions are obtained to ensure a global exponential robust stability of equilibrium point for reaction-diffusion Cohen-Grossberg neural network with delays. These sufficient conditions depend on reaction-diffusion terms, which is a preeminent feature that distinguishes the present research from the previous results. An example and comparison are given to show the effectiveness of the obtained results.
Keywords :
Lyapunov methods; asymptotic stability; functional analysis; neural nets; reaction-diffusion systems; Lyapunov-functional method; delayed reaction-diffusion neural network; equilibrium point; global robust exponential stability; reaction-diffusion Cohen-Grossberg neural network; time invariant uncertain parameters; Artificial neural networks; Boundary conditions; Delay effects; Educational institutions; Mathematics; Neural networks; Robust stability; Robustness; Signal processing; Sufficient conditions;
Conference_Titel :
Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4507-3
Electronic_ISBN :
978-1-4244-4507-3
DOI :
10.1109/CISE.2009.5365335