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Simple nonlinear dual control problems

Published online by Cambridge University Press:  17 February 2009

J. M. Murray
J. M. Murray
Affiliation:
Department of Applied Mathematics, University of New South Wales, P. O. Box 1, Kensington, N.S.W. 2033.
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Abstract

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In this paper we consider a simple, nonlinear optimal control problem with sufficient convexity to enable us to formulate its dual problem. Both primal and dual problems will include constraints on both the states and controls. The constraints in one problem may cause the “optimal” dual states to be discontinuous. However, we will look at conditions under which the presence of constraints does not force discontinuities and the optimal states and costates are absolutely continuous.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 2 , October 1985 , pp. 131 - 144
Copyright
Copyright © Australian Mathematical Society 1985

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