Delay-distribution-dependent stability criteria for neutral systems with stochastic discrete delay

This paper proposes a new type of neutral system model with random discrete delay. The problem of global exponential stability in the mean square sense for the proposed system is investigated. By defining an appropriate Lyapunov-Krasovskii functional and by employing the developed free weight matrices technique to achieve delay and distribution dependence, a sufficient condition is derived in term of the linear matrix inequalities. Different from the existing criteria, the proposed one depends on not only the size of the delay but also the probability distribution of it taking values in the interval. Numerical examples suggest that the results are effective and an improvement over previous ones.