Improved linear matrix inequality approach to stability analysis of linear systems with interval time-varying delays

摘要

This paper investigates the problem of stability analysis for a class of linear systems with interval time-varying delay. In order to develop a less conservative stability condition, a Lyapunov–Krasovskii functional comprising novel integral terms is introduced. Convex combination idea is utilized to derive a stability criterion in terms of linear matrix inequalities (LMIs) without any additional free-weighting matrices which increase drastically the computational burden of the stability test. Numerical examples are presented to illustrate the superiority of the proposed approach compared to some existing ones in the literature.