New Exponential Stability Criterion for Delayed Cellular Neural Networks

Author

Xinge, Liu ; Xiaobo, Ou ; Meilan, Tang

Author_Institution

Central South Univ., Changsha

fYear

2007

Firstpage

100

Lastpage

103

Abstract

Without assumption of the boundedness of the activation functions, using Lyapunov-Krasovskii functional together with homeomorphism map and linear matrix inequality techniques, a new condition for (i) existence (ii) uniqueness and (iii) global exponential stability of equilibrium point, of a class of time-varying delay cellular neural networks. Our result strengthens and improves the previous results. Numerical example is given to illustrate the effectiveness and improvement of our proposed criterion.

Keywords

Lyapunov methods; asymptotic stability; cellular neural nets; delay systems; linear matrix inequalities; neurocontrollers; time-varying systems; Lyapunov-Krasovskii functional; exponential stability; homeomorphism map; linear matrix inequality; time-varying delay cellular neural network; Cellular neural networks; Computers; Convergence; Delay effects; Delay lines; Electronic mail; Information science; Linear matrix inequalities; Stability criteria; Symmetric matrices; Equilibrium Point; Exponential Stability; Linear Matrix Inequality; Lyapunov-Krasovskii Functional; Time-Varying Delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2007. CCC 2007. Chinese

Conference_Location

Hunan

Print_ISBN

978-7-81124-055-9

Electronic_ISBN

978-7-900719-22-5

Type

conf

DOI

10.1109/CHICC.2006.4346911

Filename

4346911