Počet záznamů: 1
Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body
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SYSNO ASEP 0546799 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body Tvůrce(i) Mitra, D. (IN)
Roy, Arnab (MU-W) SAI, ORCID, RID
Takahashi, T. (FR)Zdroj.dok. Mathematics of Control Signals and Systems. - : Springer - ISSN 0932-4194
Roč. 33, č. 4 (2021), s. 637-667Poč.str. 31 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova controllability ; finite-dimensional controls ; fluid-structure interaction systems ; stabilizability ; viscoelastic fluids Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA19-04243S GA ČR - Grantová agentura ČR Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 000670732100001 EID SCOPUS 85109713321 DOI 10.1007/s00498-021-00295-x Anotace We study control properties of a linearized fluid–structure interaction system, where the structure is a rigid body and where the fluid is a viscoelastic material. We establish the approximate controllability and the exponential stabilizability for the velocities of the fluid and of the rigid body and for the position of the rigid body. In order to prove this, we prove a general result for this kind of systems that generalizes in particular the case without structure. The exponential stabilization of the system is obtained with a finite-dimensional feedback control acting only on the momentum equation on a subset of the fluid domain and up to some rate that depends on the coefficients of the system. We also show that as in the case without structure, the system is not exactly null-controllable in finite time. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2022 Elektronická adresa https://doi.org/10.1007/s00498-021-00295-x
Počet záznamů: 1