# Robust Stabilization of Control Affine Systems with Homogeneous Functions

2 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 stabilization problem of the affine control system $\dot x = f_0 (x) + u_1 f_1(x)+..+u_m f_m(x)$ with homogeneous functions $f_i$ is studied. This class of systems is of interest due to the robust properties of homogeneity and the fact that many affine systems can be approximated by or transformed to the class under consideration. An advantage of the introduced design method is that the tuning rules are presented in the form of linear matrix inequalities. Performance of the approach is illustrated by a numerical example.
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Conference papers

Cited literature [31 references]

https://hal.inria.fr/hal-02614528
Contributor : Andrey Polyakov <>
Submitted on : Thursday, May 21, 2020 - 7:27:19 AM
Last modification on : Friday, December 11, 2020 - 6:44:08 PM

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IFAC20_1164_FI.pdf
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• HAL Id : hal-02614528, version 1

### Citation

Konstantin Zimenko, Andrey Polyakov, Denis Efimov. Robust Stabilization of Control Affine Systems with Homogeneous Functions. IFAC World Congress, Jul 2020, Berlin, Germany. ⟨hal-02614528⟩

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