Differential Inclusions Mapping Simplexes to Simplexes

  • David William Pearson
  • Gérard Dray
Conference paper


When trying to model and analyse uncertainty in a dynamical system, differential inclusions are a natural tool. In this article we look at the situation where uncertain vector fields and uncertain initial points are both modelled by simplexes. The simplex representation lends itself to the analysis of the uncertain dynamical system, in particular the numerical simulation of the system.


Vector Field Tangent Space Differential Inclusion Multivalued Mapping Dimensional Simplex 
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Copyright information

© Springer-Verlag Wien 1999

Authors and Affiliations

  • David William Pearson
    • 1
  • Gérard Dray
    • 1
  1. 1.Nonlinear and Uncertain Systems GroupLGI2P, EMA — Site EERIE, Parc Scientifique Georges BesseNimes Cedex 1France

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