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

Volume

2

fYear

2009

fDate

20-22 Nov. 2009

Firstpage

484

Lastpage

488

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICICISYS.2009.5358337

Filename

5358337