A direct frequency domain approach to stability of linear systems with time-varying delays

Author

Fridman, Emilia ; Gil, Michael

Author_Institution

Sch. of Electr. Eng., Tel-Aviv Univ.

fYear

2005

fDate

27-29 June 2005

Firstpage

1544

Lastpage

1547

Abstract

The stability of linear systems with uncertain time-varying delays from given segments is analyzed. Under assumption that the system is stable for some known constant values of the delays, a sufficient stability condition is derived in terms of the system matrices and the lengths of the delay segments. Different from the existing frequency domain methods which usually apply the small gain theorem, the suggested approach is based on the direct application of the Laplace transform to the transformed system and on the bounding technique in L₂. Numerical examples illustrate the efficiency of the method

Keywords

Laplace transforms; asymptotic stability; control system analysis; delays; frequency-domain analysis; linear systems; matrix algebra; time-varying systems; uncertain systems; Laplace transform; asymptotic stability; bounding technique; delay segments; frequency domain method; linear system stability; small gain theorem; stability analysis; system matrices; uncertain time-varying delays; Asymptotic stability; Delay effects; Delay lines; Delay systems; Frequency domain analysis; Laplace equations; Linear systems; Robust stability; Stability analysis; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation

Conference_Location

Limassol

ISSN

2158-9860

Print_ISBN

0-7803-8936-0

Type

conf

DOI

10.1109/.2005.1469811

Filename

1469811