Title :
Delay-dependent closed-loop stability of linear systems with input delay: an LMI approach
Author :
Niculescu, Silviu-Iulian ; Fu, Minyue ; Li, Huaizhong
Author_Institution :
Appl. Math. Lab., ENSTA, Paris, France
Abstract :
This paper focuses on the problem of computing a control law which maximizes (in a sub-optimal sense) the delay of the closed-loop system for a class of linear systems with delayed input. The delay is assumed to be a continuous bounded time-varying function. The analysis is given using two different approaches: the Razumikhin based method and a frequency-filtering based method
Keywords :
closed loop systems; delay systems; filtering theory; linear systems; matrix algebra; stability; suboptimal control; Razumikhin based method; closed-loop stability; delay; delay-dependent stability; frequency-filtering; input delay; linear matrix inequality; linear systems; suboptimal control; Control systems; Delay lines; Delay systems; Filtering; Frequency; Linear matrix inequalities; Linear systems; Riccati equations; Stability; State feedback;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657740