Stability Analysis for Linear Time-varying Periodically Descriptor Systems: a Generalized Lyapunov Approach

Author

Su, Xiaoming ; Lv, Mingzhu ; Shi, Hongyan ; Zhang, QingLing

Author_Institution

Coll. of Sci., Shenyang Univ. of Technol.

Volume

1

fYear

0

fDate

0-0 0

Firstpage

728

Lastpage

732

Abstract

In this paper, Lyapunov approach is applied to study stability and stabilization for linear periodically time-varying descriptor systems. First, a Lyapunov function is found, and a Lyapunov equation is established, then the necessary and sufficient conditions for strong asymptotical stability are obtained. Further, a corresponding Riccati equation is proposed, and then the stabilization problems of the systems are studied by using the Riccati equation. Finally, two numerical examples are used to illustrate the main results

Keywords

Lyapunov methods; Riccati equations; asymptotic stability; linear systems; time-varying systems; Lyapunov equation; Lyapunov function; Riccati equation; asymptotical stability; linear time-varying periodically descriptor system; stability analysis; stabilization; Asymptotic stability; Control systems; Educational institutions; Linear matrix inequalities; Lyapunov method; Riccati equations; Stability analysis; State-space methods; Sufficient conditions; Time varying systems; Lyapunov equation; Periodically time-varying descriptor systems; Riccati equation; stabilization; strong asymptotical stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712438

Filename

1712438