Optimal Control of Systems of Conservation Laws and Application to Non-Equilibrium Traffic Control

Abstract : This paper proposes an optimization algorithm to solve iteratively optimal control problems involving systems of conservation laws. The irregularity of their solution requires a specific variational analysis that have direct implications on the numerical implementation. This method is applied to the control of non-equilibrium traffic using the Payne-Whitham and the Aw-Rascle-Zhang model.
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https://hal.archives-ouvertes.fr/hal-00098671
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Submitted on : Monday, September 25, 2006 - 7:13:56 PM
Last modification on : Thursday, January 11, 2018 - 6:15:57 AM
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Denis Jacquet, Carlos Canudas de Wit, Damien Koenig. Optimal Control of Systems of Conservation Laws and Application to Non-Equilibrium Traffic Control. Proceedings of the 13th IFAC Workshop on Control Applications of Optimisation, 2006, -, France. pp.6. ⟨hal-00098671⟩

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