Stability of Difference-Integral Delay Equations

被引:0
作者
Li, Hongfei [1 ]
Zhang, Lijun [2 ]
机构
[1] Shaanxi Xueqian Normal Univ, Sch Math & Stat, Xian 710100, Peoples R China
[2] Northwestern Polytech Univ, Sch Marine Sci & Technol, Xian 710072, Peoples R China
来源
PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE | 2020年
关键词
difference-integral delay equations; quadratic Lyapunov functional; Exponential stability; TIME-DELAY; SYSTEMS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article discusses the existence of the complete quadratic Lyapunov functional of a class of difference-integral delay systems and its stability. First, two kinds of special difference-integral equations are equivalently transformed into coupled differential difference equations with time-delay, this result in the expressions of the solutions of the two kinds of special equations being naturally induced. A quadratic Lyapunov functional that it is sufficient and necessary to the stability of two kind of special systems is further constructed. Second, a Lyapunov functional of the form was selected to investigate the stability of the general difference-integral equations, a sufficient condition of LMI form was obtained. Finally, the numerical examples are presented to illustrate the effectiveness of the results.
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页码:874 / 879
页数:6
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