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Journal Article

Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations

Roubíček Tomáš, Tröltzsch F.

: 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

07.01.2019 - 08:39