DyCon – cmc.deusto.eus

On the decay of one-dimensional locally and partially dissipated and hyperbolic systems

T. Crin-Barat, N. De Nitti, E. Zuazua (2025) On the decay of one-dimensional locally and partially dissipated and hyperbolic systems, ESAIM:COCV, https://arxiv.org/abs/2206.00555 Abstract. We study the time-asymptotic behavior of linear…

Control of Hyperbolic and Parabolic Equations on Networks and Singular limits

J.A. Bárcena-Petisco, M. Cavalcante, G.M. Coclite, N. de Nitti, E. Zuazua (2025) Control of Hyperbolic and Parabolic Equations on Networks and Singular limits, MCRF, Vol. 15, No. 1, March 2025,…

Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation

H. Antil, U. Biccari, R. Ponce, M. Warma, S. Zamorano (2024) Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation, Vol. 13, pp. 893-924, https://doi.org/10.3934/eect.2024010…

Large-time asymptotics in deep learning

C. Esteve, B. Geshkovski, D. Pighin, E. Zuazua (2025) Large-time asymptotics in deep learning, https://hal.archives-ouvertes.fr/hal-02912516 Abstract. We consider the neural ODE perspective of supervised learning and study the impact of the…

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

C. Esteve, E. Zuazua. Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws Nonlinear Analysis, Vol. 227, https://doi.org/10.1016/j.na.2022.113167 Abstract. We give a full characterization of the range…

Constrained control of gene-flow models

I. Mazari, D. Ruiz-Balet, E. Zuazua (2023)Constrained control of gene-flow models, Ann. Inst. Henri Poincare (C) Anal. Non Lineaire ⟨hal-02373668⟩ Abstract. In ecology and population dynamics, gene-flow refers to the transfer…

Neural ODE Control for Classification, Approximation and Transport

D. Ruiz-Balet, E. Zuazua (2023)Neural ODE Control for Classification, Approximation and Transport, SIAM Review, Vol. 65, No. 3, pp. 735-773, https://doi.org/10.1137/21M1411433 Abstract. We analyze Neural Ordinary Differential Equations (NODEs) from…

Spectral inequalities for pseudo-differential operators and control theory on compact manifolds

Spain 21.11.2022 Spectral inequalities for pseudo-differential operators and control theory on compact manifolds Author: Duvan Cardona In this post, we explain some results related to the null-controllability of diffusion models…

Differentiability with respect to the initial condition for Hamilton-Jacobi equations

C. Esteve, E. Zuazua. Differentiability with respect to the initial condition for Hamilton-Jacobi equations (2022) SIAM Journal on Mathematical Analysis, Vol. 54, No. 5, pp. 5388-5423 https://doi.org/10.1137/22M1469353 Abstract. We prove…

Control of certain parabolic models from biology and social sciences

Domènec Ruiz-Balet, , Enrique Zuazua. Control of certain parabolic models from biology and social sciences(2022) Math Control and Related Fields, Vol. 12, No. 4, pp 955-1038. doi: https://doi.org/10.3934/mcrf.2022032 Abstract. These…

Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation

R. Bianchini, Crin-Barat T., M. Paicu. Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation (2022) Abstract. We prove the nonlinear asymptotic stability of stably stratified solutions…

Diffusive Relaxation Limit of the Multi-Dimensional Hyperbolic Jin-Xin System

Crin-Barat T., L. Shou. Diffusive Relaxation Limit of the Multi-Dimensional Hyperbolic Jin-Xin System (2022) Abstract. In this paper we study the diffusive relaxation limit of the Jin-Xin system toward viscous…

Constructing the Scattering Transform

Spain 10.08.2022 Constructing the Scattering Transform Author: Javier Minguillón Sánchez 1 Introduction As Mallat presents it in [8], the scattering transform appears from the pursuit of a representation of…

Null Controllability of a Nonlinear Age, Space and Two-sex Structured Population Dynamics Model

Spain 05.08.2022 Null Controllability of a Nonlinear Age, Space and Two-sex Structured Population Dynamics Model Author: Yacouba Simpore Motivation and description of two sex structured population dynamics model Motivation Malaria…

Long-time behavior of locally and partially dissipated hyperbolic systems

Spain 26.07.2022 Long-time behavior of locally and partially dissipated hyperbolic systems Author: Timothée Crin-Barat In this post we are interested in the long-time behavior of solutions to locally and partially…

Nonuniqueness of minimizers for semilinear optimal control problems

D. Pighin. Nonuniqueness of minimizers for semilinear optimal control problems (2022) J. Eur. Math. Soc, , published online first. https://doi.org/10.4171/jems/1232 Abstract. A counterexample to uniqueness of global minimizers of semilinear…

Model Predictive Control with Random Batch Method for Linear-Quadratic Optimal Control: Introduction and Matlab Implementation

Model Predictive Control with Random Batch Method for Linear-Quadratic Optimal Control: Introduction and Matlab Implementation Spain. 02.05.2022 Author: Alexandra Borkowski Optimal Control Problems in Practice Imagine that you are given…

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

C. Esteve, H. Kouhkouh, D. Pighin, E. Zuazua. The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems. Math. Control Signals Syst. (2022). https://doi.org/10.1007/s00498-022-00325-2 Abstract:…

Introduction to spherical geometry: postulates and Pythagoras’ theorem

Spain. 29.03.2022 Author: Elisa Affili Introduction In this post, we present some basic facts about the study of geometry on spheres. In fact, geometry on the sphere is surprisingly different…

Turnpike in Lipschitz-nonlinear optimal control

Esteve C., Geshkovski G., Pighin D., Zuazua E. . Turnpike in Lipschitz-nonlinear optimal control Nonlinearity. Vol 5. No. 34, pp. 1652-1701 (2022) https://doi.org/10.1088/1361-6544/ac4e61 Abstract. We present a new proof of…

The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term

Shi Jin, Yuhua Zhu, Enrique Zuazua. The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term Numer. Math. 150, 479–519 (2022). https://doi.org/10.1007/s00211-021-01257-w Abstract. We consider the Vlasov-Fokker-Planck equation with random electric…

The Disk Multiplier and the Spherical Maximal Operator

Spain. 03.02.2022 Author: Javier Minguillón Sánchez Introduction We can define an operator between function spaces by modifying the frequencies in which a function decomposes via the Fourier transform. If the…

Swinging up the double pendulum on a cart

Spain. 24.01.2022 Author: Arnaud Rippol Introduction Pendulums are systems often used in Control Theory or Reinforcement Learning as benchmarks examples to prove the efficiency of some methods or algorithms. The…

Deep generative models and their applications

Spain. 13.11.2021 Author: Pierre Mordant Introduction Unsupervised learning is the field of machine learning which tries to get as much information as possible on the probability distribution of the training…

Model predictive control with random batch methods for a guiding problem

Ko Dongnam, Zuazua Enrique. Model predictive control with random batch methods for a guiding problem (2021). Math. Models Methods Appl. Sci., Vol. 31, No. 8, pp. 1569-1592. (2021) DOI: https://doi.org/10.1142/S0218202521500329…

Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems

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.…

Optimal control for neural ODE in a long time horizon and applications to the classification and simultaneous controllability problems

Jon Asier Bárcena-Petisco. Optimal control for neural ODE in a long time horizon and applications to the classification (2021) Abstract. We study the optimal control in a long time horizon…

Local null controllability of the penalized Boussinesq system with a reduced number of controls

J.A. Bárcena-Petisco, Kevin Le Balc'H. Local null controllability of the penalized Boussinesq system with a reduced number of controls (2021) Abstract. In this paper we consider the Boussinesq system with homogeneous…

Controllability of one-dimensional viscous free boundary flows

B. Geshkovski, E. Zuazua. Controllability of one-dimensional viscous free boundary flows. Siam. J. Control. Optim (2021), Vol. 59, No. 3, pp. 1830–1850. https://doi.org/10.1137/19M1285354 Abstract. In this work, we address the…

The turnpike property in semilinear control

D. Pighin The turnpike property in semilinear control ESAIM Control Optim. Calc. Var., Vol. 26 (2021), pp. 1-48 Abstract.An exponential turnpike property for a semilinear control problem is proved. The…

DyCon blog: Multilevel Selective Harmonic Modulation via Optimal Control

Spain. 12.04.2021. Our team members Deyviss Jesús Oroya-Villalta, Carlos Esteve-Yagüe and Umberto Biccari, made a contribution to the DyCon Blog about "Multilevel Selective Harmonic Modulation via Optimal Control": Selective harmonic Modulation (SHM)…

The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-smooth Tracking Terms

M. Gugat, M. Schuster, E. Zuazua. The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-Smooth Tracking Terms, in "Stabilization of Distributed Parameter Systems: Design Methods and Applications". Grigory…

Local null controllability of a model system for strong interaction between internal solitary waves

Jon Asier Bárcena-Petisco, Sergio Guerrero and Ademir F. Pazoto. Local null controllability of a model system for strong interaction between internal solitary waves. Commun. Contemp. Math. (2021) https://doi.org/10.1142/S0219199721500036 Abstract. In…

DyCon blog: Points of Interest Extraction and Prediction of Next Locations

Spain. 10.03.2021. Aicha Karite recent member from our team, made a contribution to the DyCon Blog about "Points of Interest Extraction and Prediction of Next Locations": Generally, a prediction problem…

Control and Deep Learning: Some connections

B. Geshkovski, E. Zuazua. Control and Deep Learning: Some connections (2021) This note is an extended abstract for a talk given by the second author during the workshop ”Challenges in…

Perceptrons, Neural Networks and Dynamical Systems

Spain. 09.03.2021 Author: Sergi Andreu Perceptrons, Neural Networks and Dynamical Systems // This post is last part of the "Deep Learning and Paradigms" post Binary classification with Neural Networks When dealing with data classification,…

Deep Learning & Paradigms

Spain. 01.03.2021 Author: Sergi Andreu Deep Learning & Paradigms By

Opening the black box of Deep Learning

Spain. 24.02.2021 Author: Sergi Andreu Opening the black box of Deep Learning By

Internal control for a non-local Schrödinger equation involving the fractional Laplace operator

U. Biccari Internal control for a non-local Schrödinger equation involving the fractional Laplace operator (2022), Vol. 11, No. 1: 301-324. doi: 10.3934/eect.2021014 Abstract: We analyze the interior controllability problem for…

Nonnegative control of finite-dimensional linear systems

Lohéac J., Trélat E., Zuazua E. Nonnegative control of finite-dimensional linear systems. Ann. I. H. Poincare-An., Vol. 38, No. 2, pp. 301-346. (2021) DOI: https://doi.org/10.1016/j.anihpc.2020.07.004 Abstract. We consider the controllability…

Rotor imbalance suppression by optimal control

M. Gnuffi, D. Pighin, N. Sakamoto Rotor imbalance suppression by optimal control Optimal Control Applications and Methods, Vol. 43, No. 1 (2022), pp. 213-242. Abstract. An imbalanced rotor is considered.…

DyCon blog: Averaged dynamics and control for heat equations with random diffusion

Spain. 04.12.2020. Our team member Jon Asier Bárcena Petisco and our Head Enrique Zuazua made a contribution to the DyCon Blog about "Averaged dynamics and control for heat equations with…

The Inverse Problem for Hamilton-Jacobi equations and 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…

Null-controllability of perturbed porous medium gas flow

B. Geshkovski,Null-controllability of perturbed porous medium gas flow. ESAIM:COCV, vol. 26, No. 85 (2020). DOI: 10.1051/cocv/2020009 Abstract: In this work, we investigate the null-controllability of a nonlinear degenerate parabolic equation,…

Noboru Sakamoto – Long time horizon control & Turnpike

Spain. 21.07.2019. Interview to Noboru Sakamoto about the DyCon Working Package 2: "Long time horizon control & Turnpike" Read more about DyCon ERC Project

DyCon blog: Q-learning for finite-dimensional problems

Spain. 29.10.2020. Our team member Carlos Esteve made a contribution to the DyCon Blog about "Q-learning for finite-dimensional problems": Reinforcement Learning (RL) is, together with Supervised Learning and Unsupervised Learning,…

Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations

Ruiz-Balet D., Zuazua E.. Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations. J. Math. Pures Appl, vol. 143, pp. 345-375 (2020) https://doi.org/10.1016/j.matpur.2020.08.006 Abstract. Dynamic phenomena in social and…

Moving control strategy for memory-type equations

Spain. 20.10.2020. Jesus Oroya and Umberto Biccari, researchers at our team, made a contribution to the DyCon Blog about "Moving control strategy for memory-type equations" Take a look the detailed…

Sparse source identification of linear diffusion–advection equations by adjoint methods

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…

The turnpike with lack of observability

Pighin D., Sakamoto N. The turnpike with lack of observability (2020) Abstract: We obtain turnpike results for optimal control problems with lack of stabilizability in the state equation and/or detectability in…

Controllability of a Class of Infinite Dimensional Systems with Age Structure

Maity D., Tucsnak M., Zuazua E. Controllability of a Class of Infinite Dimensional Systems with Age Structure. Control Cybern. Vol. 48 (2020), No. 2, pp. 231-260 hal-01964612v2 Abstract: Given a…

Shape turnpike for linear parabolic PDE models

Lance G., Trélat E., Zuazua E. Shape turnpike for linear parabolic PDE models Syst. Control. Lett. Vol. 142 (2020). DOI: 10.1016/j.sysconle.2020.104733 Abstract: We introduce and study the turnpike property for…

A stochastic approach to the synchronization of coupled oscillators

Umberto Biccari, Enrique Zuazua. A stochastic approach to the synchronization of coupled oscillators. Frontiers in Energy Research, section Smart Grids. Front. Energy Res. Vol. 8 (2020). DOI: 10.3389/fenrg.2020.00115 Abstract. This paper…

Full probabilistic solution of a infinite dimensional linear control system with random initial and final conditions

J.-C. Cortes, A. Navarro-Quiles, J.-V. Romero, M.-D. Rosello, E. Zuazua. Full probabilistic solution of a infinite dimensional linear control system with random initial and final conditions. J. Franklin I. (2020)…

Synchronized Oscillators

Spain. 03.06.2020. Umberto Biccari, and Enrique Zuazua made a contribution to the DyCon Blog about " Synchronized Oscillators" Take a look the detailed explanation at DyCon Blog All posts at…

Stochastic optimization for simultaneous control

Spain. 03.06.2020. Ana Navarro, Umberto Biccari, and Enrique Zuazua made a contribution to the DyCon Blog about "Stochastic optimization for simultaneous control" Take a look the detailed explanation at DyCon…

Turnpike in optimal shape design

G. Lance, E. Trélat, E. Zuazua Turnpike in optimal shape design IFAC-PapersOnline, Vol. 52, No. 16 (2019), pp. 496-501, ISSN: 24058963, DOI: 10.1137/17M1119160 Abstract: We investigate the turnpike problem in…

Stochastic optimization methods for the simultaneous control of parameter-dependent systems

Umberto Biccari, Ana Navarro-Quiles, Enrique Zuazua. Stochastic optimization methods for the simultaneous control of parameter-dependent systems (2020) Abstract. We address the application of stochastic optimization methods for the simultaneous control of…

Asymptotic behavior and control of a “guidance by repulsion” model

Dongnam Ko, E. Zuazua, Asymptotic behavior and control of a "guidance by repulsion" model. Math Models Methods Appl. Sci. Vol. 30, No. 04, pp. 765-804 (2020).DOI:10.1142/S0218202520400047 Abstract. We model and…

Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises

Seung-Yeal Ha, Dongnam Ko, Woojoo Shim, Hui Yu, . Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises. Math Models Methods Appl. Sci. Vol. 30,…

The turnpike property in nonlinear optimal control – A geometric approach

N. Sakamoto, D. Pighin, E. Zuazua The turnpike property in nonlinear optimal control - A geometric approach. IEEE 58th Conference on Decision and Control (CDC) (2020). DOI: 10.1109/CDC40024.2019.9028863 Abstract: This paper…

Controllability of the one-dimensional fractional heat equation under positivity constraints

U. Biccari, M. Warna, E. Zuazua Internal observability for coupled systems of linear partial differential equations. Commun. Pure Appl. Anal., Vol 19. No. 4 (2019), pp. 1949-1978. DOI: 10.3934/cppaa.2020086

The interplay of control and deep learning

Spain. 30.04.2020. Borjan Geshkovski made a contribution to the DyCon Blog about "The interplay of control and deep learning" Take a look the detailed explanation at DyCon Blog All posts…

Control of reaction-diffusion under state constraints – Heterogeneous setting: Gene-flow

Spain. 19.04.2020. Domènec Ruiz-Balet and Idriss Mazari made a contribution to the DyCon Blog about "Control of reaction-diffusion under state constraints - Heterogeneous setting: Gene-flow" Take a look the detailed…

A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diﬀusive models

I. Mazari, D. Ruiz-Balet. A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diﬀusive models (2020) Abstract. Following the recent works [9, 17,…

Control of reaction-diffusion under state constraints – Numerical exploration of controls

Spain. 04.04.2020. Domènec Ruiz-Balet made a contribution to the DyCon Blog about " Control of reaction-diffusion under state constraints - Numerical exploration of controls" Take a look the detailed explanation…

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…

Control of reaction-diffusion under state constraints – Application of the staircase method

Spain. 03.04.2020. Domènec Ruiz-Balet made a contribution to the DyCon Blog about "Control of reaction-diffusion under state constraints - Application of the staircase method" Take a look the detailed explanation…

The Optimal control on the Kuramoto adaptative coupling model with DyCon Toolbox

Spain. 19.04.2020. Dongnam Ko made a contribution to the DyCon Blog about "The Optimal control on the Kuramoto adaptative coupling model with DyCon Toolbox" Take a look the detailed explanation…

Simultaneous Control with DyCon Toolbox

Spain. 01.04.2020. Jesus Oroya made a contribution to the DyCon Blog about "Simultaneous Control with DyCon Toolbox" Take a look the detailed explanation at DyCon Blog All posts at DyCon…

Asymptotic behavior of scalar convection-diffusion equations

Enrique Zuazua. Asymptotic behavior of scalar convection-diffusion equations (2020) Abstract. In these lecture notes, we address the problem of large-time asymptotic behaviour of the solutions to scalar convection-diffusion equations set in…

DyCon Blog: POD and DMD Reduced Order Models for a 2D Burgers Equation

Spain. 11.03.2020. Today, our team member Jan Heiland made a contribution to the DyCon Blog about "POD and DMD Reduced Order Models for a 2D Burgers Equation": "The DMD approach…

A PDE-ODE model for traffic control with autonomous vehicles

Thibault Liard, Raphael Stern, Maria Laura Delle Monache. A PDE-ODE model for traffic control with autonomous vehicles. (2020) Abstract. We introduce a coupled PDE-ODEs model to describe mixed traffic with…

Emergent collective behaviors of stochastic kuramoto oscillators

Seung-Yeal Ha, Dongnam Ko, Chanho Min, Xiongtao Zhang. Emergent collective behaviors of stochastic kuramoto oscillators. Vol. 25, No. 3, pp. 1059-1081 (2020) DOI: 10.3934/dcdsb.2019208 Abstract. We study the collective dynamics…

DyCon Blog: Stabilization of a double pendulum on a cart with DyCon Toolbox

Spain. 14.02.2020. Yesterday, our team members Jesús Oroya and Jorge Mallo made a contribution to the DyCon Blog about "Stabilization of a double pendulum on a cart with DyCon Toolbox".…

Null-controllability properties of a fractional wave equation with a memory term

U. Biccari, M. Warma Null-controllability properties of a fractional wave equation with a memory term. Evol. Eq. Control The., Vol. 9, No. 2 (2020), pp. 399-430 Abstract: We study the…

Existence and cost of boundary controls for a degenerate/singular parabolic equation

U. Biccari, V. Hernandez-Santamaria, J. Vancostenoble. Existence and cost of boundary controls for a degenerate/singular parabolic equation (2022). Mathematical Control and Related Fields, Vol. 12, No.2, pp. 495-530, doi: 10.3934/mcrf.2021032…

Propagation of one and two-dimensional discrete waves under finite difference approximation

U. Biccari, A. Marica, E. Zuazua Propagation of one and two/dimensional discrete waves under finite difference approximation, Found. Comput. Math., Vol. 20 (2020), pp. 1401-1438. DOI: 10.1007/s10208-020-09445-0 Abstract: We analyze…

Output controllability in a long-time horizon

Martin Lazar, Jerôme Lohéac. Output controllability in a long-time horizon. Automatica, Vol. 113 (2020). DOI: 10.1016/j.automatica.2019.108762 Abstract. In this article we consider a linear finite dimensional system. Our aim is…

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…

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…

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. IFAC-PapersOnLine 53.2 (2020), pp. 5322-5329 Abstract. This article considers the possibility of using…

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…

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…

WP5. Models involve memory terms and hybrid PDE/ODE systems (MHM)

Spain. 20.11.2019. Umberto Biccari, postdoctoral researcher at the Chair of Computational Mathematics of the University of Deusto (Bilbao, Basque Country Spain) explains the key topics in the Working Package 5…

DyCon blog: Analysis, numerics and control for the obstacle problem

Spain. 15.09.2019. Today, our team member Borjan Geshkovski made a contribution to the DyCon Blog about "Analysis, numerics and control for the obstacle problem": In this tutorial, we present some…

Model reduction of converter-dominated power systems by Singular Perturbation Theory

U. Biccari, N. Sakamoto, E. Unamuno, D. Madariaga, E. Zuazua, J.A. Barrena. Model reduction of converter-dominated power systems by Singular Perturbation Theory Abstract: The increasing integration of power electronic devices is driving the development of more advanced tools and methods for…

DyCon blog

If you are looking for our DyCon ERC project output, don't miss out: Our DyCon Toolbox for computational methods and tools Our DyCon blog for our last dissemination posts about…

Turnpike in optimal shape design for heat equation

G. Lance, E. Trélat, E. Zuazua Turnpike in optimal shape design for heat equation (2019) IFAC-PAPERSONLINE, Vol. 52, No. 16, pp. 496-501, DOI: 10.1137/17M1119160 Abstract: After a short presentation of…

Numerical aspects of LTHC of Burgers equation

Download Code related to the Numerical aspects of LTHC of Burgers equation. Developed by Navid Allahverdi, , Alejandro Pozo & Enrique Zuazua

Python

PYTHON: https://www.python.org/

C++

C++: http://www.cplusplus.com/

Optimal Control of the Poisson Equation with OpenFOAM

Download Code related to the Optimal Control of the Poisson Equation with OpenFOAM. Developed by Víctor Hernández-Santamaría, José Vicente Lorenzo & Enrique Zuazua

Openfoam

OPENFOAM: https://www.openfoam.com