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Article Dans Une Revue Journal of Differential Equations Année : 2021

Hamilton-Jacobi inequalities on a metric space

Résumé

In some applied models (of flocking or of the crowd control) it is more natural to deal with elements of a metric space (as for instance a family of subsets of a vector space endowed with the Hausdorff metric) rather than with vectors in a normed vector space. We consider an optimal control problem on the so called morphological control system whose trajectories are time dependent tubes of subsets of R N and show that the theory of Hamilton-Jacobi-Bellman inequalities can be extended to this framework.
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Dates et versions

hal-02955754 , version 1 (02-10-2020)

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Zeinab Badreddine, Hélène Frankowska. Hamilton-Jacobi inequalities on a metric space. Journal of Differential Equations, 2021, 271, pp.1058-1091. ⟨10.1016/j.jde.2020.09.026⟩. ⟨hal-02955754⟩
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