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Stabilization of control processes in Hilbert spaces

Published online by Cambridge University Press:  14 November 2011

L. Pandolfi
L. Pandolfi
Affiliation:
University of Florence, Italy
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Synopsis

In this paper we study the stabilization problem for non autonomous control processes in Hilbert spaces. We prove that a stabilizing feedback exists if and only if an associated Riccati equation has a bounded solution which is symmetric and positive definite.

An application to control processes with delays in control is presented.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 81 , Issue 3-4 , 1978 , pp. 247 - 258
Copyright
Copyright © Royal Society of Edinburgh 1978

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