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Preprints, Working Papers, ... Year : 2021

On Homogeneous Approximations, Stability and Robustness of Infinite Dimensional Systems

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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Dates and versions

hal-03366756 , version 1 (05-10-2021)
hal-03366756 , version 2 (08-10-2021)

Identifiers

  • HAL Id : hal-03366756 , version 2

Cite

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