@article{a3f2cb6f21b54a6abe41bf889b408949,
title = "On the computation of induced norms for non-compact Hankel operators arising from distributed control problems",
abstract = "This paper considers the problem of computing the induced L2 norm for Hankel operators which are not necessarily compact. In the literature such a norm has traditionally been computed by solving an infinite-dimensional eigenvalue-eigenfunction problem. In this paper, it is shown that a sequence of finite-dimensional eigenvalue-eigenvector problems can be solved to estimate the desired induced norm.",
keywords = "Distributed control, eigenvalue-eigenfunction problems, induced norm, non-compact Hankel operator",
author = "Armando Rodriguez and Dahleh, {Munther A.}",
note = "Funding Information: The problem of designing ~g'= optimal compensators for distributed plants has received considerable attention during the past decade \[4-10,14,18-20,22-28,33,35\]. In particular, the problem of minimizing the weighted sensitivity function has been studied extensively. It has been shown that for this problem, the minimum value Correspondence to: Prof. A.A. Rodriguez, Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-5706, USA. * Research supported by AT&T Bell Laboratories, by ARO grant DAAL03-86-K-0171, and by ASU FGIA grants DWR-B717 and DWR-B773. ** Research supported by ARO grant DAAL03-86-K-0171 and by NSF grant 9157306-ECS.",
year = "1992",
month = dec,
doi = "10.1016/0167-6911(92)90074-3",
language = "English (US)",
volume = "19",
pages = "429--438",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",
number = "6",
}