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Robustness and convergence of suboptimal controls in distributed parameter systems

Published online by Cambridge University Press:  14 November 2011

H. O. Fattorini
H. O. Fattorini
Affiliation:
University of California, Department of Mathematics, Los Angeles, California 90024, U.S.A.
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Extract

A fundamental prerequisite for the numerical computation of optimal controls is to show that sequences of suboptimal (that is, close-to-optimal) controls converge. We show this in a version that applies to hyperbolic and parabolic distributed parameter systems, the latter including the Navier–Stokes equations. The optimal problems include control and state constraints; in the parabolic case, the constraints may be pointwise on the solution and the gradient.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 6 , 1997 , pp. 1153 - 1179
Copyright
Copyright © Royal Society of Edinburgh 1997

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