Title :
Mean square stability of nonlinear systems with random delay and markovian jump parameters
Author :
Zhu, Enwen ; Zhang, Hanjun ; Xu, Yong ; Wang, Yueheng ; Zou, Jiezhong
Author_Institution :
Sch. of Math. & Comput. Sci., Changsha Univ. of Sci. & Technol., Changsha, China
Abstract :
In this paper, the problems of stochastic stability for a class of nonlinear systems with random delay and Markovian jump parameters are investigated. The jumping parameters and delays are modeled as a continuous-time, discrete-state Markov process. Systems of this type may arise in real-time control applications. Employing a delay-averaging approach we demonstrate how certain mean-square stochastic stability conditions can be derived in terms of transition functions of the Markov process and stability properties of a system with a constant delay.
Keywords :
Markov processes; continuous time systems; delay systems; discrete systems; nonlinear control systems; stability; stochastic systems; Markovian jump parameters; continuous-time Markov process; delay-averaging approach; discrete-state Markov process; mean-square stochastic stability conditions; nonlinear systems; random delay; real-time control; Communication system control; Control systems; Delay systems; Linear systems; Markov processes; Nonlinear systems; Real time systems; Stability analysis; Stochastic processes; Stochastic systems; Brownian motion; Markov chain; Mean-square stability; Random delay;
Conference_Titel :
Intelligent Computing and Intelligent Systems, 2009. ICIS 2009. IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-4754-1
Electronic_ISBN :
978-1-4244-4738-1
DOI :
10.1109/ICICISYS.2009.5358337
