Systems with finite communication bandwidth constraints. II.Stabilization with limited information feedback
Wing Shing Wong; Brockett, R.W.
Automatic Control, IEEE Transactions on
Volume 44, Issue 5, May 1999 Page(s):1049 - 1053
Digital Object Identifier   10.1109/9.763226
Summary:For part I, see ibid., vol.42, p.1294-8, 1997. In this paper a new class of feedback control problems is introduced. Unlike classical models, the systems considered here have communication channel constraints. As a result, the issue of coding and communication protocol becomes an integral part of the analysis. Since these systems cannot be asymptotically stabilized if the underlying dynamics are unstable, a weaker stability concept called containability is introduced. A key result connects containability with an inequality equation involving the communication data rate and the rate of change of the state

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