Necessary exponential stability conditions for linear discrete time-delay systems and application

作     者：Haifang Li Ning Zhao Xian Zhang Xin Wang Haifang Li;Ning Zhao;Xian Zhang;Xin Wang

作者机构：School of Mathematical ScienceHeilongjiang UniversityHarbin 150080China The Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex SystemsHeilongjiang UniversityHarbin 150080China 

出 版 物：《Journal of Control and Decision》 (控制与决策学报（英文）)

年 卷 期：2020年第7卷第3期

页      面：262-275页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：This work was partially supported by the National Natural Science Foundation of China(11371006 and 61703148) the Basic Research Operating Expenses Program of Colleges and Universities in Heilongjiang Province(HDJCCX-2016212 and RCCX201717) the Natural Science Foundation of Heilongjiang Province(QC2018083) the Heilongjiang University Innovation Fund for Graduates(YJSCX2018-057HLJU) 

主　　题：Linear discrete time-delay system exponential stability fundamental matrix Lyapunov matrix Lyapunov-Krasovskii functional 

摘      要：Necessary conditions for the exponential stability of the linear discrete time-delay systems are presented by employing the so-called Lyapunov–Krasovskii functional *** conditions not only provide a new tool for stability analysis of the linear discrete timedelay system by characterising instability domains,but also extend the existing results of the linear discrete time-delay ***,we investigate several crucial properties that connect the Lyapunov matrix and the fundamental matrix of the ***,the robust stability analysis of the linear discrete time-delay systems with norm-bounded uncertainties is *** examples illustrate the validity of the obtained results.