Proportional-Integral Control for Markovian Jumping Systems with Distributed Time Delay

Abstract

This paper deals with the proportional-integral control problem for a class of stochastic Markovian jum v-Krasovskii functional and free-weighting matrix method, the novel delay-dependent robust stabilization criterion for the stochastic Markovian jumping systems is formulated in terms of linear matrix inequality (LMI). When the LMI is feasible, an explicit expression of the desired proportional-integral controller is given. Designed controller, based on the obtained criterion, ensures asymptotically stable in the mean square sense of the resulting closed-loop system for all admissible uncertainties and time delay.