Stability and Stabilization of Mechanical Systems with Switching

被引：29
|
作者：
Aleksandrov, A. Yu [1 ]
Kosov, A. A. [2 ]
Chen, Yangzhou [3 ]
机构：
[1] St Petersburg State Univ, St Petersburg, Russia
[2] Russian Acad Sci, Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664003, Russia
[3] Beijing Univ Technol, Beijing, Peoples R China
来源：
AUTOMATION AND REMOTE CONTROL | 2011年 / 72卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
HYBRID SYSTEMS;
D O I：
10.1134/S0005117911060026
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Hybrid mechanical systems with switched force fields, whose motions are described by differential second-order equations are considered. We propose two approaches to solving problems of analysis of stability and stabilization of an equilibrium position of the named systems. The first approach is based on the decomposition of an original system of differential equations into two systems of the same dimension but of the first order. The second approach is in direct specifying a construction of a general Lyapunov function for a mechanical system with switching.
引用
收藏
页码：1143 / 1154
页数：12
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