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Journal Articles Automatica Year : 2023

Homogeneous Systems Stabilization Based on Convex Embedding ⋆

Abstract

The paper develops control algorithms for a class of affine nonlinear systems using the so-called canonical homogeneous representation. It is demonstrated that such a representation exists for any homogeneous vector field bounded on the unit sphere. It is shown that canonical homogeneous representation is useful for LMI-based control design and stability analysis of nonlinear systems. Theoretical results are supported by numerical examples.
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Dates and versions

hal-04037564 , version 1 (20-03-2023)

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  • HAL Id : hal-04037564 , version 1

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Konstantin Zimenko, Andrey Polyakov, Denis Efimov. Homogeneous Systems Stabilization Based on Convex Embedding ⋆. Automatica, 2023, 154, pp.111108. ⟨hal-04037564⟩
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