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WP4-SINV

WP4: Inverse design of time-irreversible models (SINV)

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Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws

Esteve C., Zuazua E.. Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws (2022) Abstract. We give a full characterization of the range of the operator which…
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Differentiability with respect to the initial condition for Hamilton-Jacobi equations

Esteve C., Zuazua E.. Differentiability with respect to the initial condition for Hamilton-Jacobi equations (2021) Abstract. We prove that the viscosity solution to a Hamilton-Jacobi equation with a smooth convex…
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Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems

Tags: descriptor systems, linear systems, long time behavior, optimal control, Riccati equations
Heiland J., Zuazua E. Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems (2021) SIAM J. Control Optim., Vol. 59.5 (2021), pp. 3600-3624 Abstract.…
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The Inverse Problem for Hamilton-Jacobi equations and Semiconcave Envelopes

Tags: Hamilton-Jacobi equation, inverse design problem, obstacle problems, semiconcave envelopes
Esteve C., Zuazua E.. The Inverse Problem for Hamilton-Jacobi equations and Semiconcave Envelopes SIAM J. Math. Anal., Vol. 52, No. 6, pp. 5627–5657 (2020). https://doi.org/10.1137/20M1330130 Abstract. We study the inverse…
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Sparse source identification of linear diffusion–advection equations by adjoint methods

Tags: Adjoint problem, Diffusion–advection equation, Inverse problems, optimal control, Optimization
Monge A., Zuazua E. Sparse source identification of linear diffusion–advection equations by adjoint methods. Syst. Control. Lett, vol. 145 (2020). DOI: https://doi.org/10.1016/j.sysconle.2020.104801 Abstract: We present an algorithm for the time-inversion…
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DyCon blog: Inverse problem for Hamilton-Jacobi equations

DyCon blog: Inverse problem for Hamilton-Jacobi equations

Spain. 03.04.2020. Today, our team member Carlos Esteve made a contribution to the DyCon Blog about "Inverse problem for Hamilton-Jacobi equations": Inverse design problem for Hamilton-Jacobi equations: projection on the…
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A controlled multiscale model for traffic regulation via autonomous vehicles

T. Liard, . A controlled multiscale model for traffic regulation via autonomous vehicles. (2019) Abstract. Autonomous vehicles ($AV$s) allow new ways of regulating the traffic flow on road networks. Most…
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On entropic solutions to conservation laws coupled with moving bottlenecks

T. Liard, Benedetto Piccoli. On entropic solutions to conservation laws coupled with moving bottlenecks. (2019) Abstract. Moving bottlenecks in road traffic represent an interesting mathematical problem, which can be modeled…
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Optimal driving strategies for traffic control with autonomous vehicles

T. Liard, Raphael Stern, Maria Laura Delle Monache. Optimal driving strategies for traffic control with autonomous vehicles. (2019) Abstract. This article considers the possibility of using a small number of…
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Inverse design for the one-dimensional Burgers equation

T. Liard, E. Zuazua. Inverse design for the one-dimensional Burgers equation. (2019) Abstract. In this paper, we study the problem of inverse design for the one-dimensional Burgers equation. This problem…
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Single-point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equation in domains with non-constant curvature

C. Esteve Single-point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equation in domains with non-constant curvatureJ MATH PURE APPL, Vol 137 (2020) pp. 143-177, DOI: 10.1016/j.matpur.2019.12.006 Abstract. We consider…
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2D inverse design of linear transport equations on unstructured grids

2D inverse design of linear transport equations on unstructured grids

PDF version...   1. Adjoint estimation: low or high order? Adjoint methods have been systematically associated to the optimal control design [5] and their applications to aerodynamics [1, 4]. During the…
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Conservation laws in the presence of shocks

Conservation laws in the presence of shocks

PDF version... The problem We analyze a model tracking problem for a 1D scalar conservation law. It consists in optimizing the initial datum so to minimize a weighted distance to…
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Inverse design and control in the presence of singularities (SINV)

Some important PDE models in Continuum Physics, such as hyperbolic conservation laws, represent a major challenge from a control viewpoint for two (closely related) reasons: solutions lack regularity properties and…
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Last Publications

Nonuniqueness of minimizers for semilinear optimal control problems

The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems

A framework for randomized time-splitting in linear-quadratic optimal control

Numerical Control: Part A

Numerical hypocoercivity for the Kolmogorov equation

  • Protected: Model Predictive Control with Random Batch Method for Linear-Quadratic Optimal Control: Introduction and Matlab Implementation
  • Benasque Workshop-Summer School: PDE’s, Optimal Design and Numerics
  • A framework for randomized time-splitting in linear-quadratic optimal control
  • Nonuniqueness of minimizers for semilinear optimal control problems
  • Enrique Zuazua awarded 2022 W.T. and Idalia Reid Prize
Copyright 2016 - 2022 — . All rights reserved. Chair of Computational Mathematics, Deusto Foundation - University of Deusto
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