Stabilizability of Switched Differential Algebraic Equations: A Solvability-Based Approach

被引：0

作者：

Raj, Phani ^{[1
]}

Pal, Debasattam ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Elect Engn, Mumbai 400076, India

来源：

IEEE CONTROL SYSTEMS LETTERS | 2024年 / 8卷

关键词：

Switches; Algebra; Switched systems; Differential algebraic equations; Stability criteria; Iterative methods; Vectors; stabilizability; differential algebraic equations; hybrid systems; Lie algebras; STABILITY ANALYSIS;

D O I：

10.1109/LCSYS.2024.3412864

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this letter, we establish a Lie algebraic solvability-based criterion for stabilizability of switched differential algebraic equations (switched DAEs) consisting of individually unstable subsystems. It is well known that the Lie algebra generated by commuting matrices is trivially solvable. Thus, the Lie algebraic stabilizability criterion of this letter generalizes the existing commutativity-based criterion in the literature. Furthermore, for switched DAEs satisfying the Lie algebraic criterion, we explicitly provide a simple method to construct a stabilizing switching signal and demonstrate the same with the help of an example.

引用

页码：1457 / 1462

页数：6

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