Multitime hybrid differential games with curvilinear integral functional
Optimization and Control
2017-03-20 v1
Abstract
Multitime differential games are related to the modeling and analysis of cooperation or conflict in the context of a multitime dynamical systems. Their theory involves either a curvilinear integral functional or a multiple integral functional and an -flow as constraint. The aim of this paper is to give original results regarding multitime hybrid differential games with curvilinear integral functional constrained by an -flow: fundamental properties of multitime upper and lower values, viscosity solutions of multitime (HJIU) PDEs, representation formula of viscosity solutions for multitime (HJ) PDEs, and max-min representations.
Keywords
Cite
@article{arxiv.1702.01554,
title = {Multitime hybrid differential games with curvilinear integral functional},
author = {Constantin Udrişte and Elena-Laura Otobîcu and Ionel Ţevy},
journal= {arXiv preprint arXiv:1702.01554},
year = {2017}
}
Comments
17 pages. arXiv admin note: text overlap with arXiv:1702.01553