期刊论文详细信息
JOURNAL OF DIFFERENTIAL EQUATIONS 卷:271
Hamilton-Jacobi inequalities on ametric space
Article
Badreddine, Zeinab1  Frankowska, Helene1 
[1] Sorbonne Univ, IMJ PRG, CNRS, Case 247,4 Pl Jussieu, F-75252 Paris, France
关键词: Optimal control;    Dynamic programming;    Morphological control system;    Contingent Hamilton-Jacobi inequalities;   
DOI  :  10.1016/j.jde.2020.09.026
来源: Elsevier
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【 摘 要 】

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 involving 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. (C) 2020 Elsevier Inc. All rights reserved.

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