Time-Varying Razumikhin and Krasovskii Stability Theorems for Time-Varying Delay Systems

被引：0
|
作者：
Zhou, Bin [1 ]
Egorov, Alexey V. [2 ]
机构：
[1] Harbin Inst Technol, Harbin 150001, Peoples R China
[2] St Petersburg State Univ, Dept Control Theory, St Petersburg, Russia
来源：
PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC) | 2016年
关键词：
Time-varying systems; Time-varying delays; Lyapunov-Krasovskii theorems; Razumikhin theorems; TO-STATE STABILITY; STABILIZATION;
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：
The main results of the paper are generalizations of the Razumikhin and of the Krasovskii classical stability theorems for stability analysis of time-varying time-delay systems. The condition of negativity of the time-derivative of Razumikhin functions and Krasovskii functionals is weakened. This is achieved by using the notion and properties of uniformly stable scalar functions. We also show how to apply the results to the stability analysis of linear time-varying time-delay systems of retarded type. Both the system matrices and time-delays are allowed to be time-varying. Some constructive sufficient stability conditions are obtained and their effectiveness is demonstrated by an example.
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页码：1041 / 1046
页数：6
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