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Existence of optimal controls for a class of nonlinear distributed parameter systems

Published online by Cambridge University Press:  17 April 2009

Nikolaos S. Papageorgiou
Nikolaos S. Papageorgiou
Affiliation:
Florida Institute of Technology, Department of Applied Mathematics Melbourne PL 32901-6988, United States of America
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Abstract

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In this paper we examine a Lagrange optimal control problem driven by a nonlinear evolution equation involving a nonmonotone, state dependent perturbation term. For this problem we establish the existence of optimal admissible pairs. For the same system we also examine a time optimal control problem involving a moving target set. Finally we work out in detail an example of a strongly nonlinear parabolic distributed parameter system.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 2 , April 1991 , pp. 211 - 224
Copyright
Copyright © Australian Mathematical Society 1991

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