Research ArticleImproved robust stabilization method for linear systems with interval time-varying input delays by using Wirtinger inequality

- The main contribution of this work is proposing some improved delay-dependent criteria for uncertain systems with interval time-varying delays.
- Based on the Wirtinger inequality, new delay partitioning approaches are developed to derive the criteria.
- The advantage of the proposed criteria lies in their simplicity and less conservatism than some of the existing results.

This paper investigates the robust stabilization problem for uncertain linear systems with interval time-varying delays. By constructing novel Lyapunov-Krasovskii functionals and developing delay-partitioning approaches, some delay-dependent stability criteria are derived based on an improved Wirtinger׳s inequality and the reciprocally convex method. The proposed methods have improved the stability conditions without increasing much computational complexity. A state feedback controller design approach is also presented based on the proposed criteria. Numerical examples are finally given to illustrate the effectiveness of the proposed method.