Robust stochastic stabilization of uncertain Markovian jumping systems with distributed time-delay based on LMI´s approach

A class of linear uncertain distributed delay systems with Markovian jumping parameters is discussed. The robust stochastically stabilizability of uncertain Markov jump linear systems with distributed delay is concerned. The robust state feedback controller is designed for stabilizing the uncertain systems with Markovian jumping parameters. Some sufficient conditions were shown based on LMI´s approach. And the results are developed and covered in some extent comparing with the researches that only discussed the systems with discrete time-delay.