State-Feedback Stabilizability in Switched Homogeneous Systems

被引：5
|
作者：
Najson, Federico [1 ]
机构：
[1] Univ Republica, Inst Ingn Elect, Fac Ingn, Montevideo, Uruguay
来源：
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年
关键词：
STABILITY;
D O I：
10.1109/ACC.2009.5159973
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 present article is concerned with state-feedback stabilizability of discrete-time switched homogeneous systems. Necessary and sufficient conditions for state-feedback exponential stabilizability are presented. It is shown that, a switched homogeneous system is state-feedback exponentially stabilizable if and only if an associated sequence converges to zero. Equivalently, a switched homogeneous system is state-feedback exponentially stabilizable if and only if an associated dynamic programming equation admits a solution on a given convex set. This unique solution of that associated dynamic programming equation is shown to be the optimal cost functional of a related infinite-horizon quadratic regulator problem (for the switched homogeneous system) whose solution is also presented. A numerical example illustrates the results reported in the paper.
引用
收藏
页码：3011 / 3018
页数：8
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