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Necessary and sufficient conditions for optimal controls in viscous flow problems

Published online by Cambridge University Press:  14 November 2011

H. O. Fattorini  and
S. S. Sritharan
H. O. Fattorini
Affiliation:
Department of Mathematics, University of California-Los Angeles, Los Angeles, California 90024-1555, U.S.A.
S. S. Sritharan
Affiliation:
Department of Mathematics, University of California-Los Angeles, Los Angeles, California 90024-1555, U.S.A.
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Abstract

A class of optimal control problems in viscous flow is studied. Main results are the Pontryagin maximum principle and the verification theorem for the Hamilton–Jacobi–Bellman equation characterising the feedback problem. The maximum principle is established by two quite different methods.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 2 , 1994 , pp. 211 - 251
Copyright
Copyright © Royal Society of Edinburgh 1994

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