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

Alexandre M. Bayen; Christian Claudel; Patrick Saint-Pierre

doi:10.1007/978-3-540-71493-4_52

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 proceeding › Conference contribution › peer-review

10 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 language	English (US)
Title of host publication	Hybrid Systems
Subtitle of host publication	Computation and Control - 10th International Conference, HSCC 2007, Proceedings
Publisher	Springer Verlag
Pages	645-649
Number of pages	5
ISBN (Print)	9783540714927
DOIs	https://doi.org/10.1007/978-3-540-71493-4_52
State	Published - 2007
Externally published	Yes
Event	10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007 - Pisa, Italy Duration: Apr 3 2007 → Apr 5 2007

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4416 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007
Country/Territory	Italy
City	Pisa
Period	04/3/07 → 04/5/07

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

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10.1007/978-3-540-71493-4_52

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Bayen, A. M., Claudel, C., & Saint-Pierre, P. (2007). Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation. In Hybrid Systems: Computation and Control - 10th International Conference, HSCC 2007, Proceedings (pp. 645-649). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4416 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-540-71493-4_52

Bayen, Alexandre M. ; Claudel, Christian ; Saint-Pierre, Patrick. / Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation. Hybrid Systems: Computation and Control - 10th International Conference, HSCC 2007, Proceedings. Springer Verlag, 2007. pp. 645-649 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation",

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.",

author = "Bayen, {Alexandre M.} and Christian Claudel and Patrick Saint-Pierre",

year = "2007",

doi = "10.1007/978-3-540-71493-4_52",

language = "English (US)",

isbn = "9783540714927",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "645--649",

booktitle = "Hybrid Systems",

address = "Germany",

note = "10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007 ; Conference date: 03-04-2007 Through 05-04-2007",

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Bayen, AM, Claudel, C & Saint-Pierre, P 2007, Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation. in Hybrid Systems: Computation and Control - 10th International Conference, HSCC 2007, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4416 LNCS, Springer Verlag, pp. 645-649, 10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007, Pisa, Italy, 04/3/07. https://doi.org/10.1007/978-3-540-71493-4_52

Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation. / Bayen, Alexandre M.; Claudel, Christian; Saint-Pierre, Patrick.
Hybrid Systems: Computation and Control - 10th International Conference, HSCC 2007, Proceedings. Springer Verlag, 2007. p. 645-649 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4416 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation

AU - Bayen, Alexandre M.

AU - Claudel, Christian

AU - Saint-Pierre, Patrick

PY - 2007

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N2 - 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.

AB - 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.

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DO - 10.1007/978-3-540-71493-4_52

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SN - 9783540714927

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 645

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BT - Hybrid Systems

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Y2 - 3 April 2007 through 5 April 2007

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Bayen AM, Claudel C, Saint-Pierre P. Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation. In Hybrid Systems: Computation and Control - 10th International Conference, HSCC 2007, Proceedings. Springer Verlag. 2007. p. 645-649. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-71493-4_52

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

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