Bibliografie
Journal Article
Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations
,
: Control and Cybernetics vol.32, 3 (2003), p. 683-705
: CEZ:AV0Z1075907
: IAA1075005, GA AV ČR
: incompressible viscous flow convexity analysis, optimality conditions
(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.
(cze): V článku se vyšetřuje stabilita ve smyslu Lipschitze pro nejlepší řízení pro ustálené rovnice Naviera a Stokesa
: 12A
: BA