State Feedback Stabilization Over Finite State Fading Channels
This paper studies state feedback stabilization over finite state fading channels, where the stochastic characteristic of time varying fading channels is assumed to be driven by a finite state random process. The finite state process is used to represent different channel fading amplitudes and/or to model different configurations of the overall physical environment. A series of necessary and sufficient conditions are given for stabilization over finite state Markov fading channels. In the case of finite state independent and identially distributed fading channels, explicit network requirements for stabilization are presented for both single input case and multi input case. It is shown that our results cover some existing results as special cases. Finally, the results are applied to stabilization of a single input plant over a Gilbert Elliott channel demonstrated by numerical simulations.