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

页码：1609 / 1625

页数：17

共 20 条

[1]

[Anonymous], 1967, STABILITY MOTION

[2]

[Anonymous], [No title captured]

[3] Set invariance in control [J].