Lyapunov stability analysis of linear singular dynamical systems

Author

Chao-tian, Chen ; Yong-qing, Liu

Author_Institution

Dept. of Autom., South China Univ. of Technol., Guangzhou, China

Volume

1

fYear

1997

fDate

28-31 Oct 1997

Firstpage

635

Abstract

Some stability criteria corresponding with the Lyapunov function of linear singular systems is proposed. An asymptotically stable linear singular system is not only attractive but also impulse-free. At the same time, the stability problem of large-scale linear singular dynamical systems is investigated by using the method of weighted sum type of Lyapunov functions. Some results concerning the stability, asymptotical stability, and instability of large-scale linear singular dynamical systems, are given

Keywords

Lyapunov methods; asymptotic stability; large-scale systems; linear systems; stability; Lyapunov function; Lyapunov stability analysis; asymptotical stability; impulse-free; instability; large-scale linear singular dynamical systems; linear singular dynamical systems; weighted sum type; Asymptotic stability; Automation; Chaos; Large-scale systems; Lyapunov method; Power engineering and energy; Power system stability; Stability criteria; Systems engineering and theory; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Processing Systems, 1997. ICIPS '97. 1997 IEEE International Conference on

Conference_Location

Beijing

Print_ISBN

0-7803-4253-4

Type

conf

DOI

10.1109/ICIPS.1997.672862

Filename

672862