Stability of nonlinear differential-algebraic systems via additive identity

被引：9
|
作者：
Di Francor, Pierluigi [1 ]
Scarciotti, Giordano [1 ]
Astolfi, Alessandro [1 ]
机构：
[1] Imperial Coll London, Elect & Elect Engn Dept, London SW7 2AZ, England
来源：
IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 2020年 / 7卷 / 04期
关键词：
Differential-algebraic systems; Lyapunov method; small-gain theorem; stability analysis; H-INFINITY CONTROL; DESCRIPTOR SYSTEMS; EQUATIONS; OBSERVER; DESIGN; INDEX;
D O I：
10.1109/JAS.2020.1003219
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 stability analysis for nonlinear differential-algebraic systems is addressed using tools from classical control theory. Sufficient stability conditions relying on matrix inequalities are established via Lyapunov Direct Method. In addition, a novel interpretation of differential-algebraic systems as feedback interconnection of a purely differential system and an algebraic system allows reducing the stability analysis to a small-gain-like condition. The study of stability properties for constrained mechanical systems, for a class of Lipschitz differential-algebraic systems and for an academic example is used to illustrate the theory.
引用
收藏
页码：929 / 941
页数：13
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