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Input-output stabilization of linear systems on Z

Makila, P.M. and Partington, J.R. (2004) Input-output stabilization of linear systems on Z. IEEE Transactions on Automatic Control, 49 (11). pp. 1916-1928. ISSN 0018-9286

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Abstract

A formal framework is set up for the discussion of generalized autoregressive with external input models of the form Ay__Bu, where A and B are linear operators, with the main emphasis being on signal spaces consisting of bounded sequences parametrized by the integers. Different notions of stability are explored, and topological notions such as the idea of a closed system are linked with questions of stabilizability in this very general context. Various problems inherent in using Z as the time axis are analyzed in this operatorial framework.

Item Type: Article
Copyright, Publisher and Additional Information: Copyright © 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds)
Depositing User: Sherpa Assistant
Date Deposited: 30 Sep 2005
Last Modified: 08 Feb 2013 17:02
Published Version: http://dx.doi.org/10.1109/TAC.2004.837593
Status: Published
Refereed: Yes
Identification Number: 10.1109/TAC.2004.837593
URI: http://eprints.whiterose.ac.uk/id/eprint/703

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