Open Access
VOL. 36 | 1999 Worst-case identification of linear systems: existence and complexity
D. W. Hadwin, K. J. Harrison, J. A. Ward

Editor(s) John Giles, Brett Ninness

Proc. Centre Math. Appl., 1999: 53-65 (1999)

Abstract

In the identification of linear systems the aim is to estimate the impulse response to within a given tolerance based on a finite number of noisy observations of the output. Whether this is possible depends upon the model set, that is, the set of impulse responses to which that of the system is assumed to belong. We give conditions on the model set which ensure that such identification is possible and also briefly review recent results concerning the complexity of identification, that is, the minimum number of required output samples.

Information

Published: 1 January 1999
First available in Project Euclid: 18 November 2014

zbMATH: 1193.62109

Rights: Copyright © 1999, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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