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On an optimal control problem involving second order hyperbolic systems with boundary controls

Published online by Cambridge University Press:  17 April 2009

K.G. Choo ,
K.L. Teo  and
Z.S. Wu
K.G. Choo
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales 2006, Australia;
K.L. Teo
Affiliation:
School of Mathematics, University of New South Wales, PO Box 1, Kensington, New South Wales 2003, Australia;
Z.S. Wu
Affiliation:
Department of Mathematics, Zhongshan University, Guanchou, China.
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Abstract

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In this paper, we consider an optimal control problem involving second-order hyperbolic systems with boundary controls. Necessary and sufficient conditions are derived and a result on the existence of optimal controls is obtained. Also, a computational algorithm which generated minimizing sequences of controls is devised and the convergence properties of the algorithm are investigated.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 1 , February 1983 , pp. 139 - 148
Copyright
Copyright © Australian Mathematical Society 1983

References

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