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

摘要

This paper deals with the problems of stability and H-infinity 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-infinity performance analysis is also presented as the second result. The predominance and validity of the proposed criteria are validated through three numerical examples. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.