Improved global robust delay-dependent stability criteria for delayed cellular neural networks

Abstract

This paper is concerned with the global robust asymptotical stability for a class of cellular neural networks with time-varying delays and parameter uncertainties. By using the Lyapunov–Krasovskii functional method and employing the convexity of the matrix equation, some new stability criteria are derived, which are expressed by a set of linear matrix inequalities. To show the effectiveness and less conservatism of our method, two numerical examples are presented finally.

Keywords:

• delay-dependent
• cellular neural networks
• time-varying delay
• linear matrix inequality
• robust stability

Acknowledgements

The authors would like to thank the Editor and the anonymous referees for their detailed comments and valuable suggestions which considerably improved the presentation of the paper. This work was supported by the National Nature Science Foundation of China (Grant No. 60474079 and 60774060).