An obstruction to small time local null controllability for a viscous Burgers' equation

In this work, we are interested in the small time local null controllability for the viscous Burgers' equation \(y_t - y_{xx} + y y_x = u(t)\) on the line segment \([0,1]\), with null boundary conditions. The second-hand side is a scalar control playing a role similar to that of a pressure. In...

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Veröffentlicht in:	arXiv.org 2015-11
1. Verfasser:	Marbach, Frédéric
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Burgers equation Controllability Integrals Mathematics - Optimization and Control Operators (mathematics) Stability
Online-Zugang:	Volltext
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