Adjoint-Based Optimization on a Network of Discretized Scalar Conservation Laws with Applications to Coordinated Ramp Metering-Reference-Cited by-同舟云学术

Adjoint-Based Optimization on a Network of Discretized Scalar Conservation Laws with Applications to Coordinated Ramp Metering

Published:2015-10-05 Issue:2 Volume:167 Page:733-760
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Reilly Jack^ORCID,Samaranayake Samitha,Delle Monache Maria Laura,Krichene Walid,Goatin Paola,Bayen Alexandre M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1007/s10957-015-0749-1.pdf

Reference59 articles.

1. Garavello, M., Piccoli, B.: Traffic Flow on Networks, vol. 1. American Institute of Mathematical Sciences, Springfield (2006)

2. Work, D.B., Blandin, S., Tossavainen, O.P., Piccoli, B., Bayen, A.M.: A traffic model for velocity data assimilation. Appl. Math. Res. eXpress 2010(1), 1 (2010)

3. Frazzoli, E., Dahleh, M.A., Feron, E.: Real-time motion planning for agile autonomous vehicles. J. Guid. Control Dyn. 25(1), 116–129 (2002)

4. Brunnermeier, S., Martin, S.: Interoperability cost analysis of the US automotive supply chain: final report. Technical report, DIANE Publishing (1999)

5. Gugat, M., Dick, M., Leugering, G.: Gas flow in fan-shaped networks: classical solutions and feedback stabilization. SIAM J. Control Optim. 49(5), 2101–2117 (2011)

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