Title :
Global Exponential Stability for Impulsive Cellular Neural Networks with Discrete and Distributed Time-Varying Delays
Author :
Xiang, Ze-ying ; Zhong, Shou-ming ; Luo, Hao
Author_Institution :
Sch. of Appl. Math., Univ. of Electron. Sci. & Technol. of China, Mianyang
Abstract :
In this paper, the global exponential stability for a class of impulsive cellular neural networks with discrete and distributed time-varying delays is considered. The results are based on the Lyapunov-Krasovskii functional stability analysis for differential equations and the linear matrix inequality (LMI) optimization approach. Some numerical examples are given to show the effectiveness of our results.
Keywords :
Lyapunov methods; asymptotic stability; cellular neural nets; delays; differential equations; discrete time systems; linear matrix inequalities; optimisation; time-varying systems; Lyapunov-Krasovskii functional stability analysis; differential equations; discrete time-varying delay; distributed time-varying delay; global exponential stability; impulsive cellular neural networks; linear matrix inequality optimization; Artificial neural networks; Cellular neural networks; Delay effects; Differential equations; Electronic mail; Linear matrix inequalities; Mathematics; Neural networks; Neurons; Stability analysis; Delays; Global exponential stability; Linear matrix inequality (LMI); impulsive cellular neural networks;
Conference_Titel :
Apperceiving Computing and Intelligence Analysis, 2008. ICACIA 2008. International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-3427-5
Electronic_ISBN :
978-1-4244-3426-8
DOI :
10.1109/ICACIA.2008.4770046
