On stability criteria for neural networks with time-varying delay using Wirtinger-based multiple integral inequality. Issue 12 (December 2015)

• Record Type: Journal Article
• Authors: Lee, Tae H.; Park, Ju H.; Park, Myeong-Jin; Kwon, Oh-Min; Jung, Ho-Youl
• Is Part Of: Journal of the Franklin Institute. Volume 352:Issue 12(2015:Dec.)
• Page Start: 5627
• Page End: 5645
• Publication Date: 2015-12
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2015.08.024
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper investigates the problem of delay-dependent stability analysis of neural networks with time-varying delay. Based on Wirtinger-based integral inequality which suggests very closed lower bound of Jensen's inequality, a new Wirtinger-based multiple integral inequality is presented and it is applied to time-varying delayed neural networks by using reciprocally convex combination approach of high order cases. Three numerical examples are given to describe the less conservatism of the proposed methods.