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On an optimization problem with cost of rapid variation of control

Published online by Cambridge University Press:  17 February 2009

D. Idczak ,
K. Kibalczyc  and
S. Walczak
D. Idczak
Affiliation:
Institute of Mathematics, Lódź University, ul. Stefana Banacha 22, 90–238 Lódź, Poland
K. Kibalczyc
Affiliation:
Institute of Mathematics, Lódź University, ul. Stefana Banacha 22, 90–238 Lódź, Poland
S. Walczak
Affiliation:
Institute of Mathematics, Lódź University, ul. Stefana Banacha 22, 90–238 Lódź, Poland
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Abstract

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In the paper we give sufficient conditions for the existence of a solution for a Darboux-Goursat optimization problem with a cost functional depending on the number of switchings of a control and the rapidity of its changes. An application is given to a gas absorption problem.

Type
Research Article
Information
The ANZIAM Journal , Volume 36 , Issue 1 , July 1994 , pp. 117 - 131
Copyright
Copyright © Australian Mathematical Society 1994

References

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