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The mean square stabilization problem for discrete-time networked controlsystems (NCSs) is investigated in this article. What the difference from mostprevious works is that input delay and packet losses occur simultaneously inthe communication channel, moreover, the data packet dropout is modeled as atime-homogeneous Markov process which will bring some difficulties in solvingthe problem due to the temporal correlation. The contributions in this papercan be summarized as two points. Firstly, the equivalence condition for thesolvability of linear quadratic optimal problem in finite horizon subject tothe discrete-time NCSs is expressed by solving the forward and backwardstochastic difference equations (FBSDEs-M) which is derived from the maximumprinciple involving Markov jump and delay. Secondly, under basic assumption,the necessary and sufficient condition of mean square stabilization is given bythe solutions to the coupled algebraic Riccati equations with Markov jump(CAREs-M). To our best knowledge, the problems studied in this paper are newbecause most previous works mainly discussed the case of only delay or packetdropout in NCSs.

Stabilization for Networked Control Systems with Simultaneous Input Delay and Markovian Packet Losses