Title :
H/spl infin/ Stabilization of Markovian Jumping Singularly Perturbed Delayed Systems
Author :
Liu, Huaping ; Boukas, El-Kebir ; Sun, Fuchun
Author_Institution :
Dept. of Comput. Sci. & Technol., Tsinghua Univ., Beijing
Abstract :
This paper deals with the class of Markovian singularly perturbed linear continuous-time systems with time varying and mode-dependent time-delay. The stochastic stability and Hinfin performance and the Hinfin state feedback stabilization are tackled. Sufficient conditions in the LMI setting are established for both the problems. A numerical example is provided to show the effectiveness of the developed results
Keywords :
Hinfin control; Markov processes; continuous time systems; delay systems; linear matrix inequalities; linear systems; singularly perturbed systems; stability; state feedback; time-varying systems; Hinfin stabilization; LMI; Markovian singularly perturbed delayed system; Markovian singularly perturbed linear continuous-time system; mode-dependent time-delay; state feedback stabilization; stochastic stability; time varying system; Computer science; Control system synthesis; Control systems; Delay effects; Delay systems; Riccati equations; Stability; State feedback; Stochastic systems; Sun;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0210-7
DOI :
10.1109/ACC.2006.1656553