Journal of Applied Mathematics and Stochastic Analysis
Volume 8 (1995), Issue 2, Pages 177-188
doi:10.1155/S1048953395000165

Error estimate for optimality of distributed parameter control problems via duality

W. L. Chan1 and S. P. Yung2

1The Chinese University of Hong Kong, Department of Mathematics, Hong Kong
2The University of Hong Kong, Department of Mathematics, Hong Kong

Received 1 April 1994; Revised 1 February 1995

Copyright © 1995 W. L. Chan and S. P. Yung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Sharp error estimates for optimality are established for a class of distributed parameter control problems that include elliptic, parabolic, hyperbolic systems with impulsive control and boundary control. The estimates are obtained by constructing manageable dual problems via the extremum principle.