Robust Stackelberg controllability for the Navier--Stokes equations

2017/08/15 by Cristhian Montoya, Montoya, C., Luz de Teresa +1
Engineering · #Stability and Controllability of Differential Equations #Stability and Control of Uncertain Systems #Control and Stability of Dynamical Systems

paper · pdf · doi:10.48550/arxiv.1708.04648

Abstract

In this paper we deal with a robust Stackelberg strategy for the Navier--Stokes system. The scheme is based in considering a robust control problem for the "follower control" and its associated disturbance function. Afterwards, we consider the notion of Stackelberg optimization (which is associated to the "leader control") in order to deduce a local null controllability result for the Navier--Stokes system.

Related

• Robust Stackelberg controllability for a parabolic equation
• Robust Stackelberg Controllability for the Kuramoto-Sivashinsky Equation
• Controllability results for cascade systems of m coupled N-dimensional Stokes and Navier-Stokes systems by N-1 scalar controls
• A pointwise tracking optimal control problem for the stationary Navier--Stokes equations
• A controllability Result for a Chemotaxis-Fluid Model