On the Existence and Construction of Common Lyapunov Functions for Switched Discrete Systems

被引：0
|
作者：
Kosov A.A. [1 ]
Kozlov M.V. [2 ]
机构：
[1] Matrosov Institute for System Dynamics and Control Theory, ul. Lermontova 134, Irkutsk
[2] National Research Mordovian State University, ul. Bol’shevistskaya 68, Saransk
来源：
Journal of Applied and Industrial Mathematics | 2018年 / 12卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
common Lyapunov function; stability; switched discrete system;
D O I：
10.1134/S1990478918040075
中图分类号：
学科分类号：
摘要：
Under consideration is the problem of stability of switched discrete systems with the generalized homogeneous right-hand sides. The conditions are obtained for the existence of the common Lyapunov function, and a method for its construction is proposed in the form of a combination of the partial Lyapunov functions obtained for isolated subsystems. For a special case of linear three-dimensional systems, some algorithms are proposed for constructing common Lyapunov functions as quadratic and fourth degree forms. Some examples illustrate the effectiveness of the proposed approach. © 2018, Pleiades Publishing, Ltd.
引用
收藏
页码：668 / 677
页数：9
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