On the Null Asymptotic Stabilization of the Two-Dimensional Incompressible Euler Equations in a Simply Connected Domain

Authors:
Jean-Michel Coron
Affiliations:
-
Venue:
SIAM Journal on Control and Optimization
Year:
1999

Citing 0
Cited 1

Brief paper: Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws

Automatica (Journal of IFAC)

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Abstract

We study the asymptotic stabilization of the origin for the two-dimensional (2-D) Euler equation of incompressible inviscid fluid in a bounded domain. We assume that the controls act on an arbitrarily small nonempty open subset of the boundary. We prove the null global asymptotic stabilizability by means of explicit feedback laws if the domain is connected and simply connected.