高斯中继信道反馈下马尔可夫跳变线性系统的可镇定性

Stabilizability of Markov jump linear systems over a Gaussian relay channel

研究利用高斯中继信道实现反馈信息传输情形下马尔可夫跳变线性系统的均方可镇定性问题.首先针对一般类型的高斯信道,从信息论角度给出上述马尔可夫跳变线性系统镇定所需要的必要条件;然后分别针对半双工串联中继信道以及非正交网络信道这两种特殊类型的高斯信道,在考虑传输信号存在平均功率约束的情况下,给出马尔可夫跳变线性系统的均方可镇定性与上述信道参量之间的内在联系;最后通过数值仿真例子验证了上述理论结果.

Mean square stabilizability of a Markov jump linear system Using Gaussian relay communication channels is investigated. Firstly, necessary conditions of general Gaussian channels are given to guarantee the mean square stabilizability of the Markov jump linear system. Considering two specified types of Gaussian relay channels（i.e. halfduplex cascade channels and nonorthogonal network channels） with average power constraint, the relationships between mean square stabilizability of the Markov jump linear system and the parameters of the communition channels are presented. Finally, the proposed theoretic results ars verified by a numerical example.