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On Homogeneous Approximations, Stability and Robustness of Infinite Dimensional Systems

Andrey Polyakov 1 
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The paper generalizes the concept of homogeneous approximations to a class of unbounded operators satisfying certain regularity assumptions. Stability and robustness of locally homogeneous abstract control systems are studied. The viscous Burgers equation and its nonlinear modifications are considered as illustrative examples.
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-03366756
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Friday, October 8, 2021 - 6:27:44 PM
Last modification on : Tuesday, November 22, 2022 - 2:26:16 PM

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  • HAL Id : hal-03366756, version 2

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Andrey Polyakov. On Homogeneous Approximations, Stability and Robustness of Infinite Dimensional Systems. 2021. ⟨hal-03366756v2⟩

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