Title :
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
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;
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
DOI :
10.1109/CYBER.2013.6705421
