Improved stability criteria for linear systems with time-varying delay

作     者：Sun, J. Liu, G. P. Chen, J. Rees, D. 

作者机构：Beijing Inst Technol Sch Automat Beijing 100081 Peoples R China Univ Glamorgan Fac Adv Technol Pontypridd CF37 1DL M Glam Wales Harbin Inst Technol CTGT Ctr Harbin 150001 Peoples R China 

出 版 物：《IET CONTROL THEORY AND APPLICATIONS》 (IET Control Theory Appl.)

年 卷 期：2010年第4卷第4期

页      面：683-689页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 0804[工学-仪器科学与技术] 0811[工学-控制科学与工程] 

基　　金：Beijing Education Committee Cooperation Building Foundation [XK100070532] China Postdoctoral Science Foundation National Science Foundation for Distinguished Young Scholars 

主　　题：time varying Stability analysis delay Stability criteria system clock Free Weights Linear system 

摘      要：This study is concerned with the stability analysis of systems with time-varying delay in a given interval. A new type of augmented Lyapunov functional which contains some triple-integral terms is proposed. By introducing free-weighting matrices, a new delay-range-dependent stability criterion is derived in terms of linear matrix inequality. The rate-range of the delay is considered, so the stability criterion is also delay-rate-range dependent. Numerical examples are given to illustrate the effectiveness of the proposed method.