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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 ISSN 0363-0129.
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Official URL: http://dx.doi.org/10.1137/080723648
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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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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 (Creative Commons) |
Data sourced from Thomson Reuters' Web of Knowledge
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