On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question

On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question

In a Hilbert space setting, necessary and sufficient conditions for the minimum norm solution u to the equation Su = Rz to be continuously dependent on z are given. These conditions are used to study the continuity of minimum energy and linear-quadratic control problems for infinite dimensional line...

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Main Author: Przyłuski K.Maciej
Format: Article
Language:English
Published: Sciendo 2014-12-01
Series:International Journal of Applied Mathematics and Computer Science
Subjects:
minimum norm problem
linear-quadratic control
linear-quadratic economies
controllability
continuity of optimal control
Online Access:https://doi.org/10.2478/amcs-2014-0053
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spelling doaj-f55f2ba7b49248568abed70f2fb4b32f2021-09-06T19:41:08ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922014-12-0124472373310.2478/amcs-2014-0053amcs-2014-0053On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity questionPrzyłuski K.Maciej0Department of Applied Sciences Collegium Mazovia, ul. Sokołowska 116, 08-110 Siedlce, PolandIn a Hilbert space setting, necessary and sufficient conditions for the minimum norm solution u to the equation Su = Rz to be continuously dependent on z are given. These conditions are used to study the continuity of minimum energy and linear-quadratic control problems for infinite dimensional linear systems with fixed endpoints.https://doi.org/10.2478/amcs-2014-0053minimum norm problemlinear-quadratic controllinear-quadratic economiescontrollabilitycontinuity of optimal control
collection DOAJ
language English
format Article
sources DOAJ
author Przyłuski K.Maciej
spellingShingle Przyłuski K.Maciej
On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question
International Journal of Applied Mathematics and Computer Science
minimum norm problem
linear-quadratic control
linear-quadratic economies
controllability
continuity of optimal control
author_facet Przyłuski K.Maciej
author_sort Przyłuski K.Maciej
title On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question
title_short On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question
title_full On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question
title_fullStr On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question
title_full_unstemmed On an infinite dimensional linear-quadratic problem with fixed endpoints: The continuity question
title_sort on an infinite dimensional linear-quadratic problem with fixed endpoints: the continuity question
publisher Sciendo
series International Journal of Applied Mathematics and Computer Science
issn 2083-8492
publishDate 2014-12-01
description In a Hilbert space setting, necessary and sufficient conditions for the minimum norm solution u to the equation Su = Rz to be continuously dependent on z are given. These conditions are used to study the continuity of minimum energy and linear-quadratic control problems for infinite dimensional linear systems with fixed endpoints.
topic minimum norm problem
linear-quadratic control
linear-quadratic economies
controllability
continuity of optimal control
url https://doi.org/10.2478/amcs-2014-0053
work_keys_str_mv AT przyłuskikmaciej onaninfinitedimensionallinearquadraticproblemwithfixedendpointsthecontinuityquestion
_version_ 1717767050686889984

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