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 different bounded sector nonlinear constraints.Finally, some numerical examples are provided to illustrate the effectiveness of the proposed methods.
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