Title :
Criteria for stability of Markovian jump singular systems with time-varying delays
Author :
He, Guannan ; Ji, Jing
Author_Institution :
Coll. of Inf. Sci. & Technol., Beijing Univ. of Chem. Technol., Beijing, China
Abstract :
In this paper, we consider a class of continuous-time Markovian jump singular systems with time-varying delays. The stability problem for this class of systems is discussed and delay-dependent sufficient conditions such that the systems are regular, impulse free and asymptotically mean square stable are developed in terms of linear matrix inequality (LMI). A numerical example is included to show the effectiveness of the proposed methods.
Keywords :
asymptotic stability; continuous time systems; delays; linear matrix inequalities; mean square error methods; stability criteria; stochastic systems; asymptotically mean square stability; continuous-time Markovian jump singular systems; linear matrix inequality; stability criteria; time-varying delays; Asymptotic stability; Delay; Numerical stability; Power system stability; Stability criteria; Symmetric matrices; Linear matrix inequality (LMI); Markovian jump system; Singular time-delay system; Stability;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968166