A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components

作     者：Du, B. Lam, J. Shu, Z. Wang, Z. 

作者机构：Univ Hong Kong Dept Mech Engn Hong Kong Hong Kong Peoples R China Brunel Univ Dept Informat Syst & Comp Uxbridge UB8 3PH Middx England 

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

年 卷 期：2009年第3卷第4期

页      面：383-390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：RGC HKU [7031/06P] Royal Society of the UK 

主　　题：delay-partitioning projection approach linear systems multiple time-varying delay component Time-varying control systems computational complexity stability Stability in control theory Lyapunov-Krasovskii functional form Computational complexity delay bound estimation delays Linear algebra (numerical analysis) matrix parameter continuous systems Distributed parameter control systems linear continuous system stability analysis Lyapunov matrix equations time-varying systems 

摘      要：An effective approach is introduced to study the stability of continuous systems with multiple time-varying delay components. By employing a new Lyapunov-Krasovskii functional form based on delay partitioning, delay-dependent stability criteria are established for cases with or without the information of the delay rates. The contribution of the paper is 2-fold. First, it provides an improvement, as well as generalisation, of the existing stability criteria for continuous systems with multiple time-varying delay components. Second, it is illustrated numerically that the approach can be applied to estimate the delay bound for system stability in the single delay case with reduction both in conservatism and computational complexity when compared with the existing methods.