Title :
Novel stability analysis for delay Markovian jump systems
Author :
Chen, Yun ; Xue, Anke ; Zhao, Xiaodong
Abstract :
This paper investigates stability analysis for linear systems with Markovian jumping parameters and state delays. Based on delay subinterval decomposition approach, a new Lyapunov-Krasovskii functional is proposed to develop the delay-dependent stochastic stability conditions for both nominal and uncertain time-delay Markovian systems. The results are formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by standard convex optimization algorithm. A numerical example is provided to show the effectiveness of the method.
Keywords :
Lyapunov methods; Markov processes; control system analysis; convex programming; delay systems; delays; linear matrix inequalities; linear systems; stability; stochastic systems; uncertain systems; LMI; Lyapunov-Krasovskii functional; Markovian jumping parameter; convex optimization algorithm; linear matrix inequality; linear system; nominal system; state delay; stochastic stability analysis; subinterval decomposition approach; uncertain time-delay Markovian system; Control systems; Delay effects; Delay systems; Linear matrix inequalities; Linear systems; Manufacturing systems; Matrix decomposition; Stability analysis; Stochastic systems; Symmetric matrices;
Conference_Titel :
Asian Control Conference, 2009. ASCC 2009. 7th
Conference_Location :
Hong Kong
Print_ISBN :
978-89-956056-2-2
Electronic_ISBN :
978-89-956056-9-1
