Globally asymptotical stability for descriptor systems with nonlinear perturbations

Author

Zhou, Zheng ; Yang, Chunyu ; Zhang, QingLing

Author_Institution

Inst. of Syst. Sci., Northeastern Univ., Shenyang, China

fYear

2011

fDate

23-25 May 2011

Firstpage

3957

Lastpage

3962

Abstract

The stability problems for descriptor systems with nonlinear perturbations have been widely considered. However, the existing results require the stability of the linear part of the system. This paper investigates globally asymptotical stability of descriptor systems with nonlinear perturbations, whose linear parts are allowed to be unstable. By using Lyapunov stability theory and linear matrix inequality (LMI), an LMI-based stability criterion is derived. Finally, an example is given to show the effectiveness of the proposed methods.

Keywords

Lyapunov methods; asymptotic stability; linear matrix inequalities; nonlinear control systems; singularly perturbed systems; stability criteria; state-space methods; LMI-based stability criterion; Lyapunov stability theory; descriptor systems; generalized state space systems; globally asymptotical stability problems; linear matrix inequality; nonlinear perturbations; singular systems; Asymptotic stability; Circuit stability; Equations; Linear matrix inequalities; Lyapunov methods; Mathematical model; Stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2011 Chinese

Conference_Location

Mianyang

Print_ISBN

978-1-4244-8737-0

Type

conf

DOI

10.1109/CCDC.2011.5968913

Filename

5968913