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Finite-time passivity of discrete Markov jump neural networks

This paper investigates the problem of mean square finite-time passivity for discrete-time Markov jump neural networks with time delays and stochastic perturbations. In the measurement equation, a class of sensor nonlinearities are considered, which cover the standard Lipschitz condition as a special one. A sufficient mean square finite-time boundedness condition is established based on Lyapunov-like functional method. The mean square finite-time passivity result for the system with nonlinear sensor perturbations is then obtained. A numerical example is presented to show the applicability of the proposed results.