Stability of a Kind of Continuous Singular Large-Scale Dynamical Systems

Author

Chen, Chao-tian ; Zhao, Jian-chuan

Author_Institution

Guangdong Polytech. Normal Univ., Guangzhou

Volume

4

fYear

2007

fDate

19-22 Aug. 2007

Firstpage

2317

Lastpage

2321

Abstract

The stability problem of singular systems is much more complicated than those of regular systems because the singular systems are concerned with not only stability but also its regularity and impulse-free. In this paper the asymptotic stability of a kind of continuous singular large-scale dynamical systems is investigated by using the method of vector generalized Lyapunov function. The interconnecting parameter regions of asymptotic stability and instability are obtained. An illustrate example is given to show the results is pithy and easy to test.

Keywords

Lyapunov methods; asymptotic stability; interconnected systems; asymptotic stability; continuous singular large-scale dynamical system; interconnecting parameter region; vector generalized Lyapunov function; Asymptotic stability; Chaos; Cybernetics; Equations; Large-scale systems; Lyapunov method; Machine learning; Symmetric matrices; System testing; Vectors; Interconnecting parameter region of stability; Large-scale system; Singular system; Stability; Vector Lyapunov function;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2007 International Conference on

Conference_Location

Hong Kong

Print_ISBN

978-1-4244-0973-0

Electronic_ISBN

978-1-4244-0973-0

Type

conf

DOI

10.1109/ICMLC.2007.4370532

Filename

4370532