Title :
Novel exponential stability of reaction-diffusion cohen-grossberg neural networks
Author :
Wang, Zhanshan ; Wang, Jidong ; Liu, Zhenwei
Author_Institution :
Sch. of Inf. Sci., & Control Eng., Northeastern Univ., Shenyang, China
Abstract :
Global exponential stability problem is studied for a class of continuous-time reaction-diffusion Cohen-Grossberg neural networks with distributed delays. By decomposing the distributed-delay matrix and using matrix inequality technique and under some suitable assumptions on amplification function, a novel delay-kernel-dependent exponential stability condition for the equilibrium point of reaction-diffusion Cohen-Grossberg neural networks with distributed delays, and the delay kernel information and the amplification function information are completely involved in the stability condition. The obtained results are easy to check and some of them are less conservative than the existing results in the literatures. Some remarks are given to show the advantages over the previous results.
Keywords :
asymptotic stability; delays; linear matrix inequalities; neural nets; reaction-diffusion systems; Cohen-Grossberg neural networks; distributed delays; distributed-delay matrix; exponential stability; matrix inequality technique; reaction-diffusion; Artificial neural networks; Asymptotic stability; Circuit stability; Delay; Neurons; Stability criteria; Cohen-Grossberg neural networks; global exponential stability; infinite distributed delays; reaction-diffusion;
Conference_Titel :
Cognitive Informatics (ICCI), 2010 9th IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-8041-8
DOI :
10.1109/COGINF.2010.5599678