On the computation of induced norms for non-compact Hankel operators arising from distributed control problems

Armando Rodriguez, Munther A. Dahleh

Research output: Contribution to journalArticle

4 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)429-438
Number of pages10
JournalSystems and Control Letters
Volume19
Issue number6
DOIs
StatePublished - Dec 1992

Keywords

  • Distributed control
  • eigenvalue-eigenfunction problems
  • induced norm
  • non-compact Hankel operator

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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