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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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 |
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1717767050686889984 |