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Euclidean null controllability of infinite neutral differential systems

Published online by Cambridge University Press:  17 February 2009

Davies Iyai
Affiliation:
Department of Mathematics and Computer Science, Rivers State University of Science and Technology, P.M.B. 5080, Port Harcourt, Rivers State, Nigeria; e-mail: [email protected].
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Abstract

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This paper is aimed at establishing sufficient computable criteria for the Euclidean null controllability of an infinite neutral differential system, when the controls are essentially bounded measurable functions on finite intervals, with values in a compact subset U of an m-dimensional Euclidean space with zero in its interior. Our results are obtained by exploiting the stability of the free system and the rank criterion for properness of the controlled system. An example is also given.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2006

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