Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00233-023-10346-1 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7515 |
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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 |
| _version_ |
1762365497921241088 |
| score |
8.893527 |