Abstract:This paper is concerned about the networked control systems with random time delays, which occur in both sensor-controller and controller-actuator. For solving the problem of its dynamic features and uncertainty, one puts forward a state feedback control strategy with Markov characteristics. Moreover, in contrast with the way modeled through Markov stochastic process, each time-delay is described with two Markov chains, so that the resulting closed-loop system is established as a discrete Markovian jump system with four random parameters. A sufficient condition on the issue of finite-time bounded and stabilization is established through the theory of Lyapunov, and a linear matrix inequality (LMI) approach is employed to calculate the gain matrix of controller. Finally, an illustrative numerical simulation is given to demonstrate the effectiveness of the strategy proposed.