Title :
On global asymptotic stability criteria for cellular neural networks with discrete and distributed time-varying delays
Author :
Huang, Bin ; Jiang, Minghui ; Zhang, Ting
Author_Institution :
Inst. of Nonlinear & Complex Syst., China Three Gorges Univ., Yichang, China
Abstract :
In this paper, the global asymptotic stability for a class of uncertain delayed cellular neural networks with discrete and distributed time-varying delays (DCNNs) is considered. Based on the Lyapunov functional stability analysis for differential equations and the linear matrix inequality (LMI) optimization approach, a new criterion is derived to guarantee global asymptotic stability. A numerical example is illustrated to show the effectiveness of our results.
Keywords :
Lyapunov methods; asymptotic stability; cellular neural nets; linear matrix inequalities; time-varying systems; Lyapunov functional stability analysis; cellular neural network; differential equations; discrete time-varying delay; distributed time-varying delay; global asymptotic stability criteria; linear matrix inequality optimization; Artificial neural networks; Cellular neural networks;
Conference_Titel :
Advanced Computational Intelligence (IWACI), 2010 Third International Workshop on
Conference_Location :
Suzhou, Jiangsu
Print_ISBN :
978-1-4244-6334-3
DOI :
10.1109/IWACI.2010.5585133
