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 | |
【 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.
【 授权许可】
Free
【 预 览 】
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10_1016_j_jde_2020_09_026.pdf | 443KB | download |