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Euclidean null controllability of infinite neutral differential systems

Published online by Cambridge University Press:  17 February 2009

Davies Iyai
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: davsdone@yahoo.com.
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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.

Keywords

controllabilityneutral systeminfinite delayEuclidean null controllability
Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 2 , October 2006 , pp. 285 - 293
Copyright
Copyright © Australian Mathematical Society 2006

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