Minimum data rate for mean square stabilization of single input discrete systems over lossy channels

This paper investigates the minimum data rate over a lossy channel for the mean square stabilization of single input discrete linear time-invariant (LTI) systems. The channel is subject to a packet dropout process, which is modeled as an independent and identically distributed (i.i.d.) process. The minimum data rate, which is explicitly given by unstable eigenvalues of the open loop matrix and the packet dropout probability, is derived via quantized control input. It is interesting that our results can recover existing results in the literature.