Duality in the optimal control for damped hyperbolic systems with positive control

Duality in the optimal control for damped hyperbolic systems with positive control

We study the duality theory for damped hyperbolic equations. These systems have positive controls and convex cost functionals. Our main results lie in the application of duality theorem, that is, inf J=sup K, on various cost functions.

Bibliographic Details
Main Authors: Mi Jin Lee, Jong Yeoul Park, Young Chel Kwon
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203209273
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spelling doaj-134d0f8a954d4a8eabcaf9ca2bcfe1d52020-11-25T00:06:33ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003271703171410.1155/S0161171203209273Duality in the optimal control for damped hyperbolic systems with positive controlMi Jin Lee0Jong Yeoul Park1Young Chel Kwon2Department of Mathematics, Pusan National University (PNU), Pusan 609–735, KoreaDepartment of Mathematics, Pusan National University (PNU), Pusan 609–735, KoreaDepartment of Mathematics, Dong-A University, Pusan 604–714, KoreaWe study the duality theory for damped hyperbolic equations. These systems have positive controls and convex cost functionals. Our main results lie in the application of duality theorem, that is, inf J=sup K, on various cost functions.http://dx.doi.org/10.1155/S0161171203209273
collection DOAJ
language English
format Article
sources DOAJ
author Mi Jin Lee
Jong Yeoul Park
Young Chel Kwon
spellingShingle Mi Jin Lee
Jong Yeoul Park
Young Chel Kwon
Duality in the optimal control for damped hyperbolic systems with positive control
International Journal of Mathematics and Mathematical Sciences
author_facet Mi Jin Lee
Jong Yeoul Park
Young Chel Kwon
author_sort Mi Jin Lee
title Duality in the optimal control for damped hyperbolic systems with positive control
title_short Duality in the optimal control for damped hyperbolic systems with positive control
title_full Duality in the optimal control for damped hyperbolic systems with positive control
title_fullStr Duality in the optimal control for damped hyperbolic systems with positive control
title_full_unstemmed Duality in the optimal control for damped hyperbolic systems with positive control
title_sort duality in the optimal control for damped hyperbolic systems with positive control
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
description We study the duality theory for damped hyperbolic equations. These systems have positive controls and convex cost functionals. Our main results lie in the application of duality theorem, that is, inf J=sup K, on various cost functions.
url http://dx.doi.org/10.1155/S0161171203209273
work_keys_str_mv AT mijinlee dualityintheoptimalcontrolfordampedhyperbolicsystemswithpositivecontrol
AT jongyeoulpark dualityintheoptimalcontrolfordampedhyperbolicsystemswithpositivecontrol
AT youngchelkwon dualityintheoptimalcontrolfordampedhyperbolicsystemswithpositivecontrol
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