Lagrange stability and passivity in the mean square sense of discrete-time stochastic Markovian switched neural networks with time-varying mixed delays

Liu Yang, Weijun Ma and Xin Wang

Applied Mathematics and Computation, 2024, vol. 477, issue C

Abstract: In this paper, the Lagrange stability and passivity of a class of discrete-time stochastic Markovian switching neural networks with mixed delays are studied. The mixed delays include time-varying transmission and distribution delays. Global exponential Lagrange stability criterion and passivity criterion in the mean square sense are derived. A numerical example illustrates the usefulness of these criteria. The originality of the proposed method lies in: (i) the criteria are derived directly from the definitions rather than constructing Lyapunov–Krasovskii functional; (ii) the inequalities in the criteria contain only a few decision variables, which is easy to solve and leads to low computational complexity.

Keywords: Discrete-time stochastic neural networks; Passivity in the mean square sense; Markovian switching; Transmission delays; Distribution delays; Globally Lagrange stability in the mean square sense (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:477:y:2024:i:c:s0096300324002613

DOI: 10.1016/j.amc.2024.128800

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