Thumbnail - Request a copy

Viability-Based Computations of Solutions to the Hamilton-Jacobi-Bellman Equation

Bayen, Alexandre M.; Claudel, Christian; Saint-Pierre, Patrick (2007), Viability-Based Computations of Solutions to the Hamilton-Jacobi-Bellman Equation, in Bemporad, Alberto; Buttazzo, Giorgio; Bicchi, Antonio, Hybrid Systems: Computation and Control 10th International Workshop, HSCC 2007, Pisa, Italy, April 3-5, 2007. Proceedings, Springer : Berlin, p. 645-649. http://dx.doi.org/10.1007/978-3-540-71493-4_52

Type
Communication / Conférence
Date
2007
Conference title
10th International Workshop on Hybrid Systems: Computation and Control, HSCC 2007
Conference date
2007-04
Conference city
Pise
Conference country
Italie
Book title
Hybrid Systems: Computation and Control 10th International Workshop, HSCC 2007, Pisa, Italy, April 3-5, 2007. Proceedings
Book author
Bemporad, Alberto; Buttazzo, Giorgio; Bicchi, Antonio
Publisher
Springer
Series title
Lecture Notes in Computer Science
Series number
4416
Published in
Berlin
ISBN
978-3-540-71492-7
Number of pages
797
Pages
645-649
Publication identifier
Metadata
Show full item record
Author(s)
Bayen, Alexandre M.
Claudel, Christian
Saint-Pierre, Patrick
Abstract (EN)
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 I80 in California.
Subjects / Keywords
PDE; Hamilton-Jacobi-Bellman