Robust Finite-Time Stability of Fractional Order Linear Time-Varying Impulsive Systems

被引：0
|
作者：
Guopei Chen
Ying Yang
机构：
[1] Huizhou University,Department of Mathematics
来源：
Circuits, Systems, and Signal Processing | 2015年 / 34卷
关键词：
Robust finite-time stability; Fractional order linear time-varying impulsive systems; Fractional order Lyapunov function; Generalized Gronwall inequality; Average dwell time;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper considers the robust finite-time stability (FTS) of fractional order linear time-varying impulsive systems. First, using the fractional order Lyapunov function and generalized Gronwall inequality, some sufficient conditions are given to verify the robust FTS of fractional order linear time-varying systems. Then, the concept of FTS is extended to fractional order impulsive systems. A sufficient condition is given to verify the robust FTS of fractional order linear time-varying impulsive systems by combining the method of average dwell time with fractional order Lyapunov function. Finally, two numerical examples are provided to illustrate the theoretical results.
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页码：1325 / 1341
页数：16
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