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State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems

Ball, Joseph A. and Mikkola, Kalle M. and Sasane, Amol (2005) State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems. SIAM Journal on Control and Optimization, 44 (2). pp. 531-563. ISSN 0363-0129

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Identification Number: 10.1137/S0363012903433024

Abstract

We obtain state-space formulas for the solution of the Nehari--Takagi/suboptimal Hankel norm approximation problem for infinite-dimensional systems with a nonexponentially stable generator, via the method of J-spectral factorization. We make key use of a purely frequency-domain solution of the problem.

Item Type: Article
Official URL: http://epubs.siam.org/SICON/sicon_toc.html
Additional Information: © 2005 Society for Industrial and Applied Mathematics
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Research centres and groups > Computational, Discrete and Applicable Mathematics@LSE (CDAM)
Date Deposited: 03 Nov 2008 12:07
Last Modified: 08 Sep 2014 10:44
URI: http://eprints.lse.ac.uk/id/eprint/15843

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