Weakly Coupled Systems of Eikonal Equations in Path-Planning Problems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we study solutions for a weakly coupled system of eikonal equations arising in an optimal path-planning problem with random breakdown. The model considered takes into account two types of breakdown for the vehicle, partial and total, which happen at a known, spatially inhomogeneous rate. In particular, we analyze the complications due to the delicate degenerate coupling condition by using existing results on weakly coupled systems of Hamilton-Jacobi equations. Then we consider finite element method schemes built for convection-diffusion problems to construct approximate solutions for this system and produce some numerical simulations.

Original languageEnglish (US)
Title of host publication2024 American Control Conference, ACC 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5036-5041
Number of pages6
ISBN (Electronic)9798350382655
DOIs
StatePublished - 2024
Event2024 American Control Conference, ACC 2024 - Toronto, Canada
Duration: Jul 10 2024Jul 12 2024

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2024 American Control Conference, ACC 2024
Country/TerritoryCanada
CityToronto
Period7/10/247/12/24

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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