Model and Stability of a Class of Time-varying Linear Systems

Author

Krumov, A.V.

Author_Institution

Higher Sch. of Transp., Geo Milev

Volume

2

fYear

2005

fDate

21-24 Nov. 2005

Firstpage

1216

Lastpage

1219

Abstract

In the paper an approximate model of time-varying linear systems using a sequence of time-invariant systems is suggested. The conditions for validity of the approximation are proven with a theorem. Examples comparing the numerical solution of the original system and the analytical solution of the model are given. For the system under the consideration a new criterion giving sufficient conditions for robust Lagrange stability is suggested. The criterion is proven with a theorem. Examples are given showing stable and non stable solutions of a time-varying system and the results are compared with the numerical Runge-Kutta solution of the system

Keywords

linear systems; stability; time-varying systems; Lagrange stability; approximate model; approximation validity; criterion theorem proving; numerical Runge-Kutta solution; sufficient conditions; time-invariant system; time-varying linear system; Analytical models; Control system synthesis; Differential equations; Functional analysis; Lagrangian functions; Linear systems; Robust stability; Stability criteria; Sufficient conditions; Time varying systems; linear system; stability; time-varying;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer as a Tool, 2005. EUROCON 2005.The International Conference on

Conference_Location

Belgrade

Print_ISBN

1-4244-0049-X

Type

conf

DOI

10.1109/EURCON.2005.1630174

Filename

1630174