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Control in W2(1) of nonlinear interconnected systems of neutral type

Published online by Cambridge University Press:  17 February 2009

E. N. Chukwu
Affiliation:
North Carolina State University, Department of Mathematics, Raleigh, NC 27695–8205, U.S.A.
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Abstract

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In this paper we resolve the problem of controllability of nonlinear interconnected systems of neutral type. We consider two types of systems, a general one, and one in which some control appears linearly. In each case we insist that each isolated system of the interconnected problem is controlled by its own variables while taking into account the interacting effects. Controllability is proved by assuming some controllability criteria of each isolated system and some growth condition of the interconnecting function. Fixed point and open mapping theorems are used. Examples from economics and engineering are presented.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1995

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