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19th International Conference on Operator Theory
June 27 - July 2, 2002
Institute of Mathematics of the Romanian Academy and the Faculty of Mathematics of the West University of Timisoara
Timisoara, Romania

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The Kalman-Yakubovich-Popov inequality and infinite dimensional discrete time dissipative systems.
by
Derk Pik
Mathematical Institute, Universiteit Leiden, The Netherlands
Coauthors: M.A. Kaashoek, D.Z. Arov

We formulate a generalization of the Kalman-Yakubovich-Popov inequality for infinite dimensional discrete time systems. It will be shown that the inequality has a (generalized) positive solution if and only if the transfer function of the system coincides with a Schur-class function in a neighborhood of zero.

Date received: May 27, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caiz-22.