On stability criteria for neural networks with time-varying delay using Wirtinger-based multiple integral inequality

• DOI: 10.1016/j.jfranklin.2015.08.024
• Publication Date: 2015-09-07T17:30:22Z
• Authors: Tae H. Lee; Ju H. Park; Myeong-Jin Park; Oh-Min Kwon; Ho-Youl Jung
• Keywords: Conservatism; Stability criterion; Multiple integral; Linear matrix inequality

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.