Title :
Stochastic stability conditions for a class of neutral Markovian jump systems
Author :
Xinghua Liu ; Hongsheng Xi
Author_Institution :
Dept. of Auto, Univ. of Sci. & Technol. of China, Hefei, China
Abstract :
The certain and uncertain neutral systems with time-varying delay and Markovian jump parameters are investigated in this paper. The jumping parameters are considered as a continuous-time, continuous state Markov process. Based on the Lyapunov functional approach, novel delay-dependent stochastic stability criteria are presented in terms of LMIs. Two numerical examples are given to illustrate the effectiveness of the developed method.
Keywords :
Lyapunov methods; Markov processes; continuous time systems; delays; linear matrix inequalities; stability; stochastic systems; uncertain systems; LMI; Lyapunov functional approach; Markovian jump parameters; continuous-time continuous state Markov process; delay-dependent stochastic stability criteria; linear matrix inequality; neutral Markovian jump systems; stochastic stability condition; time-varying delay; uncertain neutral systems; Delays; Educational institutions; Linear matrix inequalities; Numerical stability; Stability criteria; Symmetric matrices; Markovian jump parameters; Neutral system; stochastic stability; time-varying delay;
Conference_Titel :
Control Conference (ASCC), 2013 9th Asian
Conference_Location :
Istanbul
Print_ISBN :
978-1-4673-5767-8
DOI :
10.1109/ASCC.2013.6606179
