A new integral inequality and application to stability of time-delay systems. (March 2020)

• Record Type: Journal Article
• Authors: Tian, Junkang; Ren, Zerong; Zhong, Shouming
• Is Part Of: Applied mathematics letters. Volume 101(2020)
• Publication Date: 2020-03
• Subjects: Time-delay system -- Integral inequality -- Lyapunov–Krasovskii functional (LKF); Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.106058
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper is concerned with the delay-dependent stability analysis for linear systems with state and distributed delays. Firstly, based on an integral equality, a new integral inequality is obtained. Then, to show the effectiveness of the new integral inequality, a new delay-dependent stability criterion is derived in terms of linear matrix inequality (LMI). Finally, two numerical examples are given to illustrate the effectiveness of the present result.