Title :
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
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;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194786
