Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article

Zhang, Wei¹  Cai, Xiu-Shan²  Han, Zheng-Zhi¹ 

[1] Shanghai Jiao Tong Univ, Sch Elect Informat & Elect Engn, Shanghai 200240, Peoples R China

[2] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R China

关键词: Lyapunov-Krasovskii functional;    Delay-dependent stability;    Time-varying delay;    Nonlinear perturbations;    Linear matrix inequality (LMI);   

DOI  :  10.1016/j.cam.2009.12.013

来源: Elsevier

【 摘 要 】

This paper considers the robust stability for a class of linear systems with interval time-varying delay and nonlinear perturbations. A Lyapunov-Krasovskii functional, which takes the range information of the time-varying delay into account, is proposed to analyze the stability. A new approach is introduced for estimating the upper bound on the time derivative of the Lyapunov-Krasovskii functional. On the basis of the estimation and by utilizing free-weighting matrices, new delay-range-dependent stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the effectiveness of the proposed approach. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free