%0 Journal Article
%T Stochastic Stability Analysis for Markovian Jump Neutral Nonlinear Systems
%A Bo Wang
%A Peng Shi
%A Hamid Reza Karimi
%A Xiucheng Dong
%J Modeling, Identification and Control
%D 2012
%I Norwegian Society of Automatic Control
%R 10.4173/mic.2012.4.2
%X In this paper, the stability problem is studied for a class of Markovian jump neutral nonlinear systems with time-varying delay. By Lyapunov-Krasovskii function approach, a novel mean-square exponential stability criterion is derived for the situations that the system's transition rates are completely accessible, partially accessible and non-accessible, respectively. Moreover, the developed stability criterion is extended to the systems with different bounded sector nonlinear constraints. Finally, some numerical examples are provided to illustrate the effectiveness of the proposed methods.
%K Stochastic stability
%K Markovian jump system
%K nonlinear system
%U http://www.mic-journal.no/PDF/2012/MIC-2012-4-2.pdf