2019/04/30 by Giulia Cavagnari, Antonio Marigonda
Computer Science · Mathematics · #Applied mathematics #Artificial intelligence #Computer science #Constraint (computer-aided design) #Field (mathematics) #Function (biology) #Function space #Geometric Analysis and Curvature Flows #Geometry #Mathematical optimization #Mathematics #Mobile robot #Nonholonomic system #Optimization and Variational Analysis #Point processes and geometric inequalities #Probabilistic logic #Property (philosophy) #Pure mathematics #Robot #Selection (genetic algorithm) #Set (abstract data type) #Space (punctuation) #Vector field #math.OC #msc:34A60 #msc:49J15
paper · pdf · doi:10.3934/dcds.2020300
Accepted for publication in DCDS-A
arxiv created 2020/06/30 · openalex publication_date 2020/08/18 · arxiv updated 2020/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
<p style='text-indent:20px;'>In this paper we establish an attainability result for the minimum time function of a control problem in the space of probability measures endowed with Wasserstein distance. The dynamics is provided by a suitable controlled continuity equation, where we impose a nonlocal nonholonomic constraint on the driving vector field, which is assumed to be a Borel selection of a given set-valued map. This model can be used to describe at a macroscopic level a so-called <i>multiagent system</i> made of several possible interacting agents.