Improved exponential stability of time-delay systems

被引：0
|
作者：
Zhang, Lina [2 ]
Gao, Xiangyu [1 ]
Zhang, Gengen [1 ]
Wang, Yating [1 ]
机构：
[1] Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R China
[2] Guangxi Normal Univ, Sch Polit Sci & Publ Adm, Guilin 541004, Guangxi, Peoples R China
来源：
PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019) | 2019年
关键词：
Time-delay systems; Exponential stability; LMIs; Multiple integrals; Integral inequality; UNCERTAIN DYNAMIC-SYSTEMS; SINGULAR SYSTEMS; STABILIZATION;
D O I：
10.1109/ccdc.2019.8833113
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a new inner product space is defined, which has a standard orthogonal basis. Based on this basis, an improved integral inequality is established, which is used to construct a new Lyapunov-Krasovskii functionals (LKFs). Thus, a less conservative exponential stability criterion of time-delay systems is obtained, which is in form of linear matrix inequalities(LMIs). Finally, non-conservatism of this exponential stability criterion can be not only numerically illustrated by an example, but also rigorously proved in theory.
引用
收藏
页码：182 / 187
页数：6
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