Improvement on the feasible region of H∞ performance and stability for systems with interval time-varying delays via augmented Lyapunov-Krasivskii functional

This paper deals with the problems of stability and H∞ performance analysis for systems of linear model with time delays, which are time-varying in an interval. By choosing a Lyapunov-Krasovskii functional in the form of the augmented structure, a new sufficient condition for stability of the interested systems is drawn by means of linear matrix inequalities (LMIs). Based on the proposed method, a criterion for H∞ performance analysis is also presented as the second result. The predominance and validity of the proposed criteria are validated through three numerical examples.