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Continuous Parametrization of Attainable Sets by Solutions of Differential Inclusions

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Abstract

It is shown that if the Hamiltonian corresponding to a differential inclusion is sufficiently regular and solutions reaching the points in the boundary of the set which are attainable at some fixed time, are unique then the parametrization mentioned in the title exists – it is continuous with respect to the points attained at that time. No such parametrization may exist if at least one point of the boundary is reached by more than one solution.

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Authors and Affiliations

  1. Department of Mathematics and Information Science, Warsaw University of Technology, Plac Politechniki 1, 00-661, Warsaw, Poland

    Tadeusz Rzeżuchowski

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  1. Tadeusz Rzeżuchowski
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Rzeżuchowski, T. Continuous Parametrization of Attainable Sets by Solutions of Differential Inclusions. Set-Valued Analysis 7, 347–355 (1999). https://doi.org/10.1023/A:1008726919920

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  • DOI: https://doi.org/10.1023/A:1008726919920

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