A New Globally Exponential Stability Criterion for Neural Networks with Discrete and Distributed Delays. (22nd January 2015)

• Record Type: Journal Article
• Authors: Chen, Hao; Zhong, Shouming; Yang, Jinxiang
• Other Names: Ma Tiedong Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-01-22
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/807150
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper concerns the problem of the globally exponential stability of neural networks with discrete and distributed delays. A novel criterion for the globally exponential stability of neural networks is derived by employing the Lyapunov stability theory, homomorphic mapping theory, and matrix theory. The proposed result improves the previously reported global stability results. Finally, two illustrative numerical examples are given to show the effectiveness of our results.