Stability Analysis of Semi-Markovian Discrete-Time Neural Networks with Time-Varying Leakage Delays

Abstract

This paper studies the stabilization of discrete-time semi-Markovian neural networks with coupling time varying delays with unreliable communication links with sensor non-linearity in communication channels. There occurs the time varying leakage delays with random parameters which obeys the uncorrelated Bernoulli-distributed sequences. By the proper construction of the Lyapunov Krasovskii functional (LKF), sufficient conditions for stability analysis has been attained that are derived by the means of linear matrix inequalities (LMI’s). Numerical example with simulation is illustrated for the effectiveness of the proposed method.