DocumentCode
3077770
Title
Stability of Lurie-type functional differential equations
Author
Sinha, A.S.C. ; Kayalar, S.
Author_Institution
Purdue Univ., Indianapolis, IN, USA
fYear
1990
fDate
5-7 Dec 1990
Firstpage
148
Abstract
Sufficient conditions are obtained for the absolute stability of systems that are described by Lurie-type functional differential equations. It is assumed that the uncontrolled system is unstable. The problem of Lurie consists of finding conditions for the feedback coefficients and characterizing the feedback function which makes the trivial solutions of the differential equation stable. It is assumed that the system is complete controllable. The method is based on the use of Lyapunov functionals. A set of ´easily verifiable´ sufficient conditions on the roots of certain ´quasi-polynomials´ are obtained
Keywords
Lyapunov methods; differential equations; feedback; stability criteria; Lurie-type; Lyapunov functionals; feedback; functional differential equations; stability; sufficient conditions; Control systems; Delay systems; Differential equations; Distributed control; Feedback control; Stability; State feedback; Sufficient conditions; Time varying systems; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location
Honolulu, HI
Type
conf
DOI
10.1109/CDC.1990.203565
Filename
203565
Link To Document