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Optimal control of the propagation of a graph in inhomogeneous media

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Deckelnick, Klaus, Elliott, Charles M. and Styles, Vanessa (2009) Optimal control of the propagation of a graph in inhomogeneous media. SIAM Journal on Control and Optimization, Vol.48 (No.3). pp. 1335-1352. doi:10.1137/080723648

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Official URL: http://dx.doi.org/10.1137/080723648

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Abstract

We study an optimal control problem for viscosity solutions of a Hamilton–Jacobi equation describing the propagation of a one-dimensional graph with the control being the speed function. The existence of an optimal control is proved together with an approximate controllability result in the $H^{-1}$-norm. We prove convergence of a discrete optimal control problem based on a monotone finite difference scheme and describe some numerical results.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Differential equations, Partial -- Research, Eikonal equation, Hamilton-Jacobi equations, Approximation theory
Journal or Publication Title: SIAM Journal on Control and Optimization
Publisher: Society for Industrial and Applied Mathematics
ISSN: 0363-0129
Official Date: 15 April 2009
Dates:
DateEvent
15 April 2009Published
Volume: Vol.48
Number: No.3
Page Range: pp. 1335-1352
DOI: 10.1137/080723648
Status: Peer Reviewed
Access rights to Published version: Open Access

Data sourced from Thomson Reuters' Web of Knowledge

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