bibtype J - Journal Article
ARLID 0106214
utime 20240103173125.4
mtime 20050418235959.9
title (primary) (eng) Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations
specification
page_count 23 s.
serial
ARLID cav_un_epca*0252595
ISSN 0324-8569
title Control and Cybernetics
volume_id 32
volume 3 (2003)
page_num 683-705
title (cze) Stabilita ve smyslu Lipschitze pro nejlepší řízení pro ustálené rovnice Naviera a Stokesa
keyword incompressible viscous flow convexity analysis
keyword optimality conditions
author (primary)
ARLID cav_un_auth*0101187
name1 Roubíček
name2 Tomáš
institution UTIA-B
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author
name1 Tröltzsch
name2 F.
country DE
COSATI 12A
cas_special
project
project_id IAA1075005
agency GA AV ČR
ARLID cav_un_auth*0012782
research CEZ:AV0Z1075907
abstract (eng) An optimal control problem with quadratic cost functional for the steady-state Navier-Stokes equations with no-slip boundary condition is considered. Lipschitz stability of locally optimal controls with respect to certain perturbations of both the cost functional and the equation is proved provided a second-order sufficient optimality condition holds. For a sufficiently small Reynolds number, even global Lipschitz stability of the unique optimal control is shown.
abstract (cze) V článku se vyšetřuje stabilita ve smyslu Lipschitze pro nejlepší řízení pro ustálené rovnice Naviera a Stokesa
reportyear 2005
RIV BA
permalink http://hdl.handle.net/11104/0013396
ID_orig UTIA-B 20040024
arlyear 2003
mrcbU63 cav_un_epca*0252595 Control and Cybernetics 0324-8569 Roč. 32 č. 3 2003 683 705