Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968913