title: Improved robust stabilization method for linear systems with interval time-varying input delays by using Wirtinger inequality.
abstract: 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.
authors.affiliation: Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116023, China; State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China. Electronic address: liuyuzhi_1@163.com.
authors.forename: Yuzhi
authors.initials: Y
authors.lastname: Liu
authors.affiliation: State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China. Electronic address: lmguo@dlut.edu.cn.
authors.forename: Muguo
authors.initials: M
authors.lastname: Li
keywords: Delay-partitioning approach; Linear matrix inequality (LMI); Lyapunov–Krasovskii functional (LKF); Time-varying delay; Wirtinger inequality