Title :
Constrained LMI set in the stability problem of linear uncertain time-delay systems
Author_Institution :
Dept. of Mech. & Ind. Eng., Southern Illinois Univ., Edwardsville, IL, USA
Abstract :
The stability problem of linear uncertain time-delay systems is considered using a quadratic Lyapunov functional. The resulting stability criterion is a constrained linear matrix inequality set. The condition is necessary and sufficient if it is applied to uncertainty-free systems. A discretization scheme is proposed to reduce the constrained LMI set to a regular LMI problem. Conservatism due to discretization can be made small through finer discretization
Keywords :
Lyapunov methods; delay systems; linear systems; matrix algebra; stability criteria; uncertain systems; conservatism; constrained LMI set; constrained linear matrix inequality set; linear uncertain time-delay systems; necessary and sufficient condition; quadratic Lyapunov functional; stability criterion; stability problem; Asymptotic stability; Delay; Industrial engineering; Linear matrix inequalities; Piecewise linear techniques; Stability criteria; State feedback; Sufficient conditions; Uncertainty;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.609506
