Novel criteria for global robust exponential stability of neural networks with time-varying delays via LMI approach

Abstract

The article addresses the problem of global robust exponential stability of interval neural networks with time-varying delays. On the basis of linear matrix inequality technique and M-matrix theory, some novel sufficient conditions for the existence, uniqueness, and global robust exponential stability of the equilibrium point for delayed interval neural networks are presented. It is shown that our results improve and generalize some previously published ones. Some numerical examples and simulations are given to show the effectiveness of the obtained results.

Keywords:

• delayed interval neural networks
• global robust exponential stability
• M-matrix
• linear matrix inequality

2000 AMS Subject Classifications :

• 92B20
• 93D09
• 70K20

Acknowledgements

The authors thank the reviewers for their valuable comments and suggestions. This research was supported by 973 Programs (2008CB317110), NSFC (10771030), the Specialized Research Fund for the Doctoral Program of Higher Education (20070614001), Sichuan Province Project for Applied Basic Research (2008JY0052), and the Project for Academic Leader and Group of UESTC.