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Estimation of Basins of Attraction for Uncertain Systems with Affine and Lipschitz Dynamics

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Dynamics and Control

Abstract

This paper is devoted to estimation and numerical approximation of basins of attraction for a class of uncertain systems. We consider systems described by a differential equation depending of a disturbance known by its bounds. By using viability theory tools, we derive basins of attraction lower and upper estimates. We present numerical simulation results of the viability kernel algorithm to basin of attraction approximation problems.

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Authors and Affiliations

  1. Ensieta 2, Rue F. Verny, 29806, Brest Cedex, France

    Eva Cruck

  2. Ensieta 2, Rue F. Verny, 29806, Brest Cedex, France

    Rodéric Moitie

  3. Ensieta 2, Rue F. Verny, 29806, Brest Cedex, France

    Nicolas Seube

Authors
  1. Eva Cruck
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  2. Rodéric Moitie
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  3. Nicolas Seube
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Cruck, E., Moitie, R. & Seube, N. Estimation of Basins of Attraction for Uncertain Systems with Affine and Lipschitz Dynamics. Dynamics and Control 11, 211–227 (2001). https://doi.org/10.1023/A:1015244102061

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  • DOI: https://doi.org/10.1023/A:1015244102061

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