Comparison principle for stochastic delay impulsive systems with Poisson jump and Markovian switching

Author

Xin Wang ; Chuandong Li ; Tingwen Huang ; Xiaofeng Liao

Author_Institution

Sch. of Electron. & Inf. Eng., Southwest Univ., Chongqing, China

fYear

2013

fDate

26-29 May 2013

Firstpage

64

Lastpage

68

Abstract

This paper studies stochastic delay impulsive systems with Poisson jump and Markovian switching. The comparison principle and uniform stability are established. Moreover, the attractive regions of these kinds of systems are estimated. As theoretical applications, the comparison principle is used to study the stability problem for stochastic delay impulsive systems, a class nonlinear uncertain hybrid system.

Keywords

Markov processes; Poisson equation; delay systems; delay-differential systems; stability; stochastic systems; uncertain systems; Markovian switching; Poisson jump; comparison principle; nonlinear uncertain hybrid system; stochastic delay impulsive systems; stochastic impulsive delay differential systems; uniform stability; Control theory; Delays; Stability criteria; Stochastic processes; Switches; Comparison principle; stability; stochastic delay systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Cyber Technology in Automation, Control and Intelligent Systems (CYBER), 2013 IEEE 3rd Annual International Conference on

Conference_Location

Nanjing

Print_ISBN

978-1-4799-0610-9

Type

conf

DOI

10.1109/CYBER.2013.6705421

Filename

6705421