STABILITY ANALYSIS OF SECOND-ORDER SWITCHED HOMOGENEOUS SYSTEMS

被引：42
作者：
Holcman, David [1 ]
Margaliot, Michael [2 ]
机构：
[1] Weizmann Inst Sci, Dept Theoret Math, IL-76100 Rehovot, Israel
[2] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Tel Aviv, Israel
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2003年 / 41卷 / 05期
关键词：
absolute stability; switched linear systems; robust stability; hybrid systems; hybrid control;
D O I：
10.1137/S0363012901389354
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study the stability of second-order switched homogeneous systems. Using the concept of generalized first integrals we explicitly characterize the "most destabilizing" switching-law and construct a Lyapunov function that yields an easily verifiable, necessary and sufficient condition for asymptotic stability. Using the duality between stability analysis and control synthesis, this also leads to a novel algorithm for designing a stabilizing switching controller.
引用
收藏
页码：1609 / 1625
页数：17
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