Stabilization of Linear Hybrid Systems in the Presence of Communication Constraints
نویسندگان
چکیده
In this paper, we study the stabilizability of randomly switching linear systems in the presence of finite capacity feedback. Motivated by the structure of communication networks, a stochastic channel was considered that sends words whose size is governed by a random process. Such link is used to transmit state measurements between the plant and the controller. In accordance with previous works, stabilizability of unstable plants is possible if and only if the channel’s Shannon capacity is above given critical values. These will depend on the switching and the channel statistics as well as on the stability criteria. Almost sure and moment stability are considered. Our results show that moment stability needs critical rates which are, at least, as high as the ones required for almost sure stability.
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