Ws. Wong et Rw. Brockett, Systems with finite communication bandwidth constraints - II: Stabilization with limited information feedback, IEEE AUTO C, 44(5), 1999, pp. 1049-1053
In this paper a new class of feedback control problems is introduced, Unlik
e classical models, the systems considered here have communication channel
constraints. As a result, the issue of coding and communication protocol be
comes an integral part of the analysis. Since these systems cannot be asymp
totically stabilized if the underlying dynamics are unstable, a weaker stab
ility concept called containability is introduced. A key result connects co
ntainability with an inequality equation involving the communication data r
ate and the rate of change of the state.