Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00546799" target="_blank" >RIV/67985840:_____/21:00546799 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/s00498-021-00295-x" target="_blank" >https://doi.org/10.1007/s00498-021-00295-x</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00498-021-00295-x" target="_blank" >10.1007/s00498-021-00295-x</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA19-04243S" target="_blank" >GA19-04243S: Parciální diferenciální rovnice v mechanice a termodynamice tekutin</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematics of Control Signals and Systems

ISSN

0932-4194

e-ISSN

1435-568X

Svazek periodika

33

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

31

Strana od-do

637-667

Kód UT WoS článku

000670732100001

EID výsledku v databázi Scopus

2-s2.0-85109713321