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Conference Papers Year : 2022

Backstepping based state observer design Vlasov-Poisson equation

Amadou Cisse
Mohamed Boutayeb
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Abstract

In this work, we present some new results on state observers design, in infinite dimension, for the 1D × 1D-Vlasov-Poisson transport equation. We show that the observers gains may be deduced from the backstepping technique. The obtained kernel equations are solved by the prime integrals of the ordinary differential system and, by the way, lead to assure convergence of the state observer. To show high performances, numerical simulations of the distribution function and its state observer are presented at the last section.
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Dates and versions

hal-03621763 , version 1 (28-03-2022)

Identifiers

  • HAL Id : hal-03621763 , version 1

Cite

Amadou Cisse, Mohamed Boutayeb. Backstepping based state observer design Vlasov-Poisson equation. SIAM Conference on Analysis of Partial Differential Equations, PD22, Mar 2022, Berlin, Germany. ⟨hal-03621763⟩
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