New Results on Stability and Stabilization of Markovian Jump Systems with Time Delay

Hongwei Xia, Li Li, Yanmin Wang, Guangcheng Ma, Changhong Wang
2014 Mathematical Problems in Engineering  
This technical paper deals with the problem of stochastic stability and stabilization for a class of linear Markovian jumping systems with discrete time-varying delay. A novel delay-dependent stochastic stability criterion for Markovian delay systems is established based on new augmented Lyapunov-Krasovskii functional and delay fractioning techniques. Then a state feedback controller is designed to guarantee the stochastic stability of the resulting closed-loop system. Numerical examples are
more » ... cal examples are provided to illustrate the effectiveness of the proposed design approach in this paper.
doi:10.1155/2014/927316 fatcat:p5uzfle7prbxnjxlv3nbkdp7qe