Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation

Alexandre M. Bayen*, Christian Claudel, Patrick Saint-Pierre

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Scopus citations

Abstract

This article proposes a new capture basin algorithm for computing the numerical solution of a class of Hamilton-Jacobi-Bellman (HJB) partial differential equations (PDEs) [3], based on a Lax-Hopf formula [2], The capture basin algorithm is derived and implemented to perform numerical computations. Its performance is measured with highway data obtained for interstate 180 in California.

Original languageEnglish (US)
Title of host publicationHybrid Systems
Subtitle of host publicationComputation and Control - 10th International Conference, HSCC 2007, Proceedings
Pages645-649
Number of pages5
StatePublished - Dec 1 2007
Event10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007 - Pisa, Italy
Duration: Apr 3 2007Apr 5 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4416 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007
CountryItaly
CityPisa
Period04/3/0704/5/07

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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