Improved Stability Analysis for Neural Networks with Time-Varying Delay. (5th June 2012)

• Record Type: Journal Article
• Authors: Li, Yongming; Tian, Junkang; Zhao, Jinzhou; Zhang, Liehui; Li, Tiejun
• Other Names: Toma Cristian Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2012(2012)
• Publication Date: 2012-06-05
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2012/950269
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper concerned the problem of delay-dependent asymptotic stability for neural networks with time-varying delay. A new class of Lyapunov functional dividing the interval delay is constructed to derive some new delay-dependent stability criteria. The obtained criteria are less conservative because free-weighting matrices method, a convex optimization approach, and a mixed dividing delay interval approach are considered. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.