Novel dynamic output feedback control for system with random time-varying delay

This paper considers the problem of delay-distribution-dependent stability and stabilization for linear time delay system via dynamic output feedback control. The delay considered here is time-varying delay without any constraints on its derivative, which is assumed to be satisfying some stochastic characteristics. Corresponding to the probability of the delay taking value in different intervals, a stochastic variable satisfying Bernoulli random binary distribution is introduced and a new system model is built by employing the information of the probability distribution. Then delay-distribution-dependent criteria are derived via dynamic output feedback control. It should be noted that the solvability of the obtained criteria depend not only on the size of the delay, but also the probability distribution of it. At last, numerical examples are given to illustrate the feasibility and effectiveness of the proposed method.