For periodic feedback control problems of (NCSs) with stochastic time-delay, a novel Markovian stochastic time-
delay system model is proposed. This model contains a piecewise constant generalized sampled-data hold function(PCGSHF)
and a Markov chain, which is used to describe both the network-induced delay and packet dropouts. By using Lyapunov
method and the linear matrix inequality(LMI) technique, the sufficient condition for ensuring the closed-loop NCSs
stochastically stable is obtained. The design procedures of both the PCGSHF and the state feedback controller are also
proposed . Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.