Stochastic Stability Analysis for Markovian Jump Neutral Nonlinear Systems

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 systems transition rates are completely accessible, partially accessible and non-accessible, respectively. Moreover, the developed stability criterion is extended to the systems with dierent bounded sector nonlinear constraints. Finally, some numerical examples are provided to illustrate the eectiveness of the proposed methods.

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