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Systems with finite communication bandwidth constraints. II.Stabilization with limited information feedback

Wing Shing Wong   Brockett, R.W.  
Dept. of Inf. Eng., Chinese Univ. of Hong Kong, Shatin;

This paper appears in: Automatic Control, IEEE Transactions on
Publication Date: May 1999
Volume: 44,  Issue: 5
On page(s): 1049-1053
ISSN: 0018-9286
References Cited: 11
CODEN: IETAA9
INSPEC Accession Number: 6255035
Digital Object Identifier: 10.1109/9.763226
Posted online: 2002-08-06 22:28:37.0

Abstract
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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