Stability analysis of systems with time-varying delay via relaxed integral inequalities

• Published in: Systems & control letters Vol. 92; pp. 52 - 61
• Main Authors: Zhang, Chuan-Ke, He, Yong, Jiang, L., Wu, Min, Zeng, Hong-Bing
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.06.2016
• Subjects: Criteria; Delay; Derivatives; Inequalities; Integrals; Linear matrix inequality; Linear systems; Relaxed integral inequality; Stability; Tasks; Time-delay system; Time-varying delay; Linear matrix inequality; Stability; Time-delay system; Time-varying delay; Relaxed integral inequality

This paper investigates the stability of linear systems with a time-varying delay. The key problem concerned is how to effectively estimate single integral term with time-varying delay information appearing in the derivative of Lyapunov–Krasovskii functional. Two novel integral inequalities are deve...