Abstract
In this paper, the stochastic stability problem for a class of neutral-type neural networks with additive time-varying delay and uncertain semi-Markov jump is discussed. The uncertainty of semi-Markov jump refers to that the partial information on transition rates are incompletely known. Firstly, an extended reciprocally convex combination inequality with less conservative is provided. Secondly, by constructing an eligible stochastic Lyapunov–Krasovskii functional with considering more information about various time delays, uncertain semi-Markov jumping parameters, some stability criterions are derived via utilizing the improved inequality together with some integral inequalities. Finally, the validity and feasibility of the proposed method are demonstrated by two numerical examples.
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