Title :
Brief paper: stability of discrete-time delay Markovian jump systems with stochastic non-linearity and impulses
Author_Institution :
Dept. of Math., Tongji Univ., Shanghai, China
Abstract :
The purpose of this study is to investigate the stability for a class of discrete-time delay Markovian jump systems with stochastic non-linearity and impulses. By using stochastic Lyapunov functionals, some new results are given. Impulse effects on the stability of the systems are revealed. Some examples together with their simulations are also presented to illustrate the effectiveness of the proposed results.
Keywords :
Lyapunov methods; Markov processes; control nonlinearities; delay systems; discrete time systems; stability; stochastic systems; discrete-time delay Markovian jump system stability; impulse effects; stochastic Lyapunov functionals; stochastic nonlinearity;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2013.0444
