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

fYear

2008

fDate

13-15 Dec. 2008

Firstpage

373

Lastpage

376

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICACIA.2008.4770046

Filename

4770046