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Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups

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Bibliographic Details
Main Authors: Karsten, Kruse, Christian, Seifert
Format: Book
Language:English
Published: Springer 2023
Subjects:
Banach spaces
semigroup for t∈[0,T]
Online Access:https://link.springer.com/article/10.1007/s00233-023-10346-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7515
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spelling oai:localhost:PNK-75152023-04-05T01:21:56Z Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups Karsten, Kruse Christian, Seifert Banach spaces semigroup for t∈[0,T] CC BY We consider final state observability estimates for bi-continuous semigroups on Banach spaces, i.e. for every initial value, estimating the state at a final time T>0 by taking into account the orbit of the initial value under the semigroup for t∈[0,T], measured in a suitable norm. We state a sufficient criterion based on an uncertainty relation and a dissipation estimate and provide two examples of bi-continuous semigroups which share a final state observability estimate, namely the Gauß–Weierstraß semigroup and the Ornstein–Uhlenbeck semigroup on the space of bounded continuous functions. 2023-04-05T01:21:56Z 2023-04-05T01:21:56Z 2023 Book https://link.springer.com/article/10.1007/s00233-023-10346-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7515 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Banach spaces
semigroup for t∈[0,T]
spellingShingle Banach spaces
semigroup for t∈[0,T]
Karsten, Kruse
Christian, Seifert
Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups
description CC BY
format Book
author Karsten, Kruse
Christian, Seifert
author_facet Karsten, Kruse
Christian, Seifert
author_sort Karsten, Kruse
title Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups
title_short Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups
title_full Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups
title_fullStr Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups
title_full_unstemmed Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups
title_sort final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00233-023-10346-1
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7515
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score 8.891695

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