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Pontryagin's maximum principle for optimal control of a non-well-posed parabolic differential equation involving a state constraint

Published online by Cambridge University Press:  17 February 2009

Mi Jin Lee  and
Jong Yeoul Park
Mi Jin Lee
Affiliation:
Department of Mathematics, Pusan National University, Pusan 609-735, Korea; e-mail:[email protected] and [email protected].
Jong Yeoul Park
Affiliation:
Department of Mathematics, Pusan National University, Pusan 609-735, Korea; e-mail:[email protected] and [email protected].
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Abstract

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In this paper, we study Pontryagin's maximum principle for some optimal control problems governed by a non-well-posed parabolic differential equation. A new penalty functional is applied to derive Pontryagin's maximum principle and an application for this system is given.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 2 , October 2004 , pp. 171 - 184
Copyright
Copyright © Australian Mathematical Society 2004

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