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Differential Inclusions Mapping Simplexes to Simplexes

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Artificial Neural Nets and Genetic Algorithms

Abstract

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.

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References

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© 1999 Springer-Verlag Wien

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Pearson, D.W., Dray, G. (1999). Differential Inclusions Mapping Simplexes to Simplexes. In: Artificial Neural Nets and Genetic Algorithms. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6384-9_53

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  • DOI: https://doi.org/10.1007/978-3-7091-6384-9_53

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83364-3

  • Online ISBN: 978-3-7091-6384-9

  • eBook Packages: Springer Book Archive

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