Title :
Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg neural networks with bounded and unbounded delays
Author :
Yao Xiaojie ; Qin Fajin
Author_Institution :
Dept. of Math., Liuzhou Teachers Coll., Liuzhou, China
Abstract :
In this paper, we study the existence and global exponential stability of periodic solution for Cohen-Grossberg neural networks with impulsive effects which is mixed delays. By constructing suitable Lyapunov functional and a new differential inequality, some sufficient conditions are established to guarantee the impulsive neural networks has globally exponential stable periodic solution. and the estimated exponential convergence rate is also obtained. Finally, an example with numerical simulations is given demonstrate the effectiveness of the obtained results.
Keywords :
Lyapunov methods; asymptotic stability; convergence of numerical methods; delays; neural nets; Cohen-Grossberg neural networks; Lyapunov functional; bounded delays; differential inequality; exponential convergence rate; global exponential stability; periodic solution; unbounded delays; Artificial neural networks; Asymptotic stability; Circuit stability; Delay; Numerical stability; Stability criteria; Bounded and Unbounded Delays; Cohen-Grossberg Neural Networks; Global Exponential Stability; Impulse; Periodic Solution;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6