FREDHOLM BACKSTEPPING AND RAPID STABILIZATION OF GENERAL LINEAR SYSTEMS - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

FREDHOLM BACKSTEPPING AND RAPID STABILIZATION OF GENERAL LINEAR SYSTEMS

Résumé

We study the rapid stabilization of general linear systems, when the differential operator A has a Riesz basis of eigenvectors. We find simple sufficient conditions for the rapid stabilization and the construction of a relatively explicit feedback operator. We use an F -equivalence (or Fredholm backstepping) approach to show a stronger result: under these sufficient conditions the system is equivalent to a simple exponentially stable system, with arbitrarily large decay rate. In the particular, our conditions improve the existing conditions of rapid stabilization for non-parabolic operators such as skew-adjoint systems
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hal-04597173 , version 1 (01-06-2024)

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  • HAL Id : hal-04597173 , version 1

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Amaury Hayat, Epiphane Loko. FREDHOLM BACKSTEPPING AND RAPID STABILIZATION OF GENERAL LINEAR SYSTEMS. 2024. ⟨hal-04597173⟩
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