A stability condition for a time-varying system represented by a couple of a second- and a first-order differential equations

Author

Inoue, Kaoru ; Kato, Toshiji

Author_Institution

Dept. of Electr. Eng., Doshisha Univ., Kyoto, Japan

Volume

3

fYear

2004

fDate

14-17 Dec. 2004

Firstpage

2934

Abstract

In this paper, we analyze stability of a time-varying system represented by a second-order vector differential equation based on the characteristics of its coefficient matrices. The objective system has a singular coefficient matrix M(t), so the system is composed by a couple of a second- and a first-order vector differential equations. New sufficient conditions for asymptotic stability of the equilibrium points are derived. We also discuss the relations between our result and that for time-invariant system, and that for non-singular coefficient matrix M(t).

Keywords

control system analysis; differential equations; matrix algebra; stability; time-varying systems; asymptotic stability; equilibrium points; first-order differential equations; second-order differential equations; singular coefficient matrix; stability analysis; stability condition; time-varying system; vector differential equation; Asymptotic stability; Damping; Differential equations; Parameter estimation; Robustness; Stability analysis; Sufficient conditions; Symmetric matrices; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1428912

Filename

1428912