Asymptotic stability of delay differential systems with noncommensurate delays

Author

Foda, S. ; Agathoklis, P.

Author_Institution

Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada

fYear

1988

fDate

7-9 Dec 1988

Firstpage

2470

Abstract

Asymptotic stability independent of delay of linear delay differential systems with noncommensurate delays is studied using n -D state-space models. An n-D Lyapunov equation is proposed for such systems. Sufficient conditions for asymptotic stability independent of delay are obtained in terms of the proposed n-D Lyapunov equation using the strictly continuous bounded real lemma, and necessary and sufficient conditions for the existence of positive definite solutions are derived

Keywords

Lyapunov methods; delays; linear systems; stability; state-space methods; Lyapunov equation; asymptotic stability; delay differential systems; linear systems; necessary conditions; noncommensurate delays; state-space models; sufficient conditions; Asymptotic stability; Control systems; Delay lines; Delay systems; Difference equations; Differential equations; Ear; Polynomials; State-space methods; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Conference_Location

Austin, TX

Type

conf

DOI

10.1109/CDC.1988.194786

Filename

194786

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2979010