On stability of difference schemes for a class of nonlinear switched systems

被引：1
|
作者：
Aleksandrov A. [1 ]
Platonov A. [1 ]
Chen Y. [2 ]
机构：
[1] Saint Petersburg State University, Saint Petersburg
[2] Beijing University of Technology, Beijing
来源：
Aleksandrov, Alexander (a.u.aleksandrov@spbu.ru) | 1600年 / Springer Verlag卷 / 9570期
基金：
俄罗斯基础研究基金会; 中国国家自然科学基金;
关键词：
Computational schemes; Dwell-time; Lyapunov functions; Stability; Switched difference systems;
D O I：
10.1007/978-3-662-50412-3_4
中图分类号：
学科分类号：
摘要：
The problem of preservation of stability under discretization is studied. A class of nonlinear switched difference systems is considered. Systems of the class appear as computational schemes for continuoustime switched systems with homogeneous right-hand sides. By using the Lyapunov direct method, some sufficient conditions of the asymptotic stability of solutions for difference systems are obtained. These conditions depend on the information available about the switching law. Three cases are considered. In the first case, we can guarantee the asymptotic stability for any switching law, while in the second and in the third ones, classes of switched signals are determined for which the preservation of the asymptotic stability takes place. © Springer-Verlag Berlin Heidelberg 2016.
引用
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页码：53 / 67
页数：14
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