On Boundary Finite-Time Feedback Control for Heat Equation

Andrey Polyakov 1 Jean-Michel Coron 2 Lionel Rosier 3
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The paper deals with boundary finite-time control for heat system. A linear switching control with state dependent switchings is designed based on backstepping procedure. It steers any solution of the heat system to zero in a finite time. The theoretical results are supported by numerical simulations.
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Andrey Polyakov, Jean-Michel Coron, Lionel Rosier. On Boundary Finite-Time Feedback Control for Heat Equation. 20th IFAC World Congress, IFAC, Jul 2017, Toulouse, France. ⟨hal-01505482⟩

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