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On a generalization of the Kalman-Yakubovic lemma

On a generalization of the Kalman-Yakubovic lemma In this paper we generalize the Kalman-Yakubovic lemma to infinite dimensions—or, more precisely, to semigroups of operators over a Hilbert space. The proof differs substantially from the finite-dimensional version and is based on the Paley-Wiener-Helson-Lowdenslager factorization theorem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

On a generalization of the Kalman-Yakubovic lemma

Balakrishnan, A.
Applied Mathematics and Optimization , Volume 31 (2) – Feb 2, 2005
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References (13)

Publisher
Springer Journals
Copyright
Copyright © 1995 by Springer-Verlag New York Inc.
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/BF01182787
Publisher site
See Article on Publisher Site

Abstract

In this paper we generalize the Kalman-Yakubovic lemma to infinite dimensions—or, more precisely, to semigroups of operators over a Hilbert space. The proof differs substantially from the finite-dimensional version and is based on the Paley-Wiener-Helson-Lowdenslager factorization theorem.

Journal

Applied Mathematics and Optimization – Springer Journals

Published: Feb 2, 2005

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