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

页码：929 / 941

页数：13

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