Exponential stabilizability of Markovian jumping systems with distributed time-delay and uncertain nonlinear exogenous disturbances

A class of bilinear distributed delay systems with Markovian jumping parameters and uncertain nonlinear exogenous disturbances is discussed. The robust exponential stability in mean square of uncertain Markov jump linear systems with distributed delay and unknown exogenous disturbances is concerned. The robust state feedback controller is designed for stabilizing the systems. Some sufficient conditions are shown based on the linear matrix inequalities or LMI´s approach. And the results are developed and covered to some extent by comparing with the researches that only discusses the systems with discrete time-delay.