Darlis Bracho Tudares – cmc.deusto.eus

Control of neural transport for normalizing flows

D. Ruiz-Balet, E. Zuazua. Control of neural transport for normalizing flows (2023) J. Math. Pures Appl. https://doi.org/10.48550/arXiv.2307.07817 Abstract. Inspired by normalizing flows, we analyze the bilinear control of neural transport…

A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation

U. Biccari, Y. Song, X. Yuan, E. Zuazua. A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation (2023) Inverse Problems, IP-103963, https://arxiv.org/abs/2202.01589 Abstract. We consider…

Gaussian Beam ansatz for finite difference wave equations

Biccari U, Zuazua E. Gaussian Beam ansatz for finite difference wave equations (2023) Abstract. This work is concerned with the construction of Gaussian Beam (GB) solutions for the numerical approximation…

Optimal design of sensors via geometric criteria

I. Ftouhi, Zuazua E.. Optimal design of sensors via geometric criteria (2023) J. Geom. Anal., Vol. 33, No. 253, https://doi.org/10.1007/s12220-023-01301-1 Abstract. We consider a convex set Ω and look for…

Eigenvalue bounds for the Gramian operator of the heat equation

M. Lazar, Zuazua E.. Eigenvalue bounds for the Gramian operator of the heat equation (2023) Abstract. This paper is concerned with the eigenvalue decay of solution operators to operator Lyapunov…

Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave

G.M. Coclite, De Nitti N., Zuazua E.. Long-time convergence of a nonlocal Burgers' equation towards the local N-wave (2023) CVGMT Abstract. We study the long-time behavior of the unique weak…

FAU MoD Lecture: Applications of AAA Rational Approximation

Date: Wed. February 1, 2023 Event: FAU MoD Lecture Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Speaker: Prof. Dr. Nick Trefethen Affiliation: University…

On the Controllability of Entropy Solutions of Scalar Conservation Laws at a Junction via Lyapunov methods

N. Nitti, De Nitti N., Zuazua E.. On the Controllability of Entropy Solutions of Scalar Conservation Laws at a Junction via Lyapunov methods (2023) Vietnam J. Math. https://doi.org/10.1007/s10013-022-00598-9 Abstract. In…

DASEL

Project name: CIENCIA DE DATOS PARA REDES ELECTRICAS (TED2021-131390B-I00) Project reference: DASEL Funding source: MINECO. MINISTERIO DE CIENCIA E INNOVACIÓN- PROYECTOS DE TRANSICIÓN ECOLÓGICA Y TRANSICIÓN DIGITAL 2021 Duration: December…

Optimal actuator design via Brunovsky’s normal form

Brunovsky normal form, Controllability, finite-dimensional systems, Kalman rank condition, lumped control, optimal actuator design.

B. Geshkovski, E. Zuazua, Optimal actuator design via Brunovsky's normal form (2022) IEEE Automatic Control, Vol. 26, No. 12, DOI: 10.1109/TAC.2022.3181222 Abstract: In this paper, by using the Brunovsky normal…

ERC DyCon Impact Dimension (2016-2022)

Document of the Impact Dimension of the ERC DyCon Project (2016-2022) PI: our Head Prof. Enrique Zuazua This project aims at making a breakthrough contribution in the broad area of…

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…

Stability and Convergence of a Randomized Model Predictive Control Strategy

Daniël Veldman, Alexandra Borkowski, Enrique Zuazua. Stability and Convergence of a Randomized Model Predictive Control Strategy (2022) Abstract. This paper is concerned with a combination of Random Batch Methods (RBMs) and…

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…

FAU DCN-AvH Seminar: Natural gradient in evolutionary games

Next Tuesday, October 18, 2022 at 17:45H (Berlin time): Event: FAU DCN-AvH Seminar Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU,…

Workshop on Control Problems

On Monday October 17, 2022 our Head Prof. Enrique Zuazua will talk on "Control and Machine Learning" at the Workshop on Control Problems from October 17th. to 20th, 2022 at…

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) Nonlinear Analysis, Vol. 227, https://doi.org/10.1016/j.na.2022.113167 Abstract. We give a full characterization of the…

Spectral inequalities for elliptic pseudo-differential operators on closed manifolds

D. Cardona. Spectral inequalities for elliptic pseudo-differential operators on closed manifolds (2022) Abstract. Let be a closed Riemannian manifold. The aim of this work is to prove the Lebeau-Robbiano spectral…

Control and Machine Learning

Zuazua E. Control and Machine Learning (2022) News journal of the Society for Industrial and Applied Mathematics , Vol. 55, No. 8 Abstract. There are two recurring questions arising when…

Greedy algorithm for parameter dependent operator Lyapunov equations

Martin Lazar, Jerome Weston. Greedy algorithm for parameter dependent operator Lyapunov equations (2021) Systems & Control Letters, Vol. 154, pp. 104968. Abstract. The aim of this paper is to provide…

Optimal distributed control of linear parabolic equations by spectral decomposition

Martin Lazar, Cesare Molinari. Optimal distributed control of linear parabolic equations by spectral decomposition (2021) Optimal Control Applications and Methods, Vol. 42, No. 4, pp. 891-926. Abstract. We construct an…

Null controllability of a nonlinear age, space and two-sex structured population dynamics model

Yacouba Simporé, Oumar Traoré. Null controllability of a nonlinear age, space and two-sex structured population dynamics model (2021) Mathematical Control and Related Fields Abstract. In this paper, we study the…

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…

Neural ODE Control for Classification, Approximation and Transport

data classification, deep learning, Neural ODEs, Optimal Transport, simultaneous control, transport equations, universal approximation, Wasserstein distance

Ruiz-Balet D., Zuazua E. Neural ODE Control for Classification, Approximation and Transport (2022). SIAM Review Abstract. We analyze Neural Ordinary Differential Equations (NODEs) from a control theoretical perspective to address…

FAU MoD Lecture: Learning-Based Optimization and PDE Control in User-Assignable Finite Time

Speaker: Prof. Dr. Miroslav Krstic Affiliation: University of California San Diego (USA) Organized by: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Abstract. This year is…

Controllability and Positivity Constraints in Population Dynamics with age, size Structuring and Diffusion

Yacouba Simporé, Umberto Biccari. Controllability and Positivity Constraints in Population Dynamics with age, size Structuring and Diffusion (2022) Abstract. In this article, we consider the infinite dimensional linear control system…

ICCHA2022: Control and Machine Learning by E. Zuazua

On Thursday September 15, 2022 (11:50H -Berlin time) our Head Prof. Enrique Zuazua will talk on "Control and Machine Learning" as invited speaker at the ICCHA2022, 8th International Conference on…

Null Controllability for a Degenerate Structured Population Model

Yacouba Simporé, Yassine El gantouh, Umberto Biccari. Null Controllability for a Degenerate Structured Population Model (2022) Abstract. In this paper, we consider the infinite dimensional linear control system describing population…

M4CSA: Control and Machine Learning by E. Zuazua

Date: Tue. September 6, 2022 Event: M4CSA, Mathematics for Computer Science and Applications. Title: Control and Machine Learning Speaker: Our Head Prof. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Our Head…

$Summer course: Control and optimization for non-local and fractional differential equations$

Summer course: Control and optimization for non-local and fractional differential equations

Course: Control and optimization for non-local and fractional differential equations Period: Summer 2022 (August 1st – August 12nd, 2022) I. Introduction to Control Theory • Lecture 1: Introduction to Control…

Control and Machine Learning by E. Zuazua

On Friday August 12, 2022 our Head Prof. Enrique Zuazua will talk on "Control and Machine Learning" as invited speaker at the Coloquium organized by Sociedad Matemática Mexicana. WHERE? Streaming…

Optimal control of mixed local-nonlocal elliptic PDE with singular boundary-exterior data

Spain 12.08.2022 Optimal control of mixed local-nonlocal elliptic PDE with singular boundary-exterior data Author: Jean-Daniel Djida In this post we are interested in optimal control problem of the mixed local-nonlocal…

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…

CCM double-seminar: “Optimal control of mixed local-nonlocal parabolic PDE” and “Nonlinear Feedback Control Design for Fluid Mixing”

Next Wednesday July 27, 2022 our visiting scientists at DeustoCCM, Jean-Daniel Djida and Weiwei Hu, will talk in a double session as part of the CCM - Chair of Computational…

Enrique Zuazua: 2022 W.T. and Idalia Reid Prize by SIAM

Laureate: Prof. Dr. Enrique Zuazua Affiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany) Award: Enrique Zuazua: 2022 W.T. and Idalia Reid Prize By: SIAM - Society for Industrial and Applied Mathematics Location: Room "Spirit…

Greedy search of optimal approximate solutions

M. Lazar, E. Zuazua. Greedy search of optimal approximate solutions (2022) Commun. Optim. Theory Abstract. In this paper we develop a procedure to deal with a family of parameter-dependent ill-posed…

Control of reaction-diffusion models in biology and social sciences

comparison principle, Constraints, Control, Mathematical biology, paths of steady-states, phase plane, Reaction-diffusion, traveling waves

Domènec Ruiz-Balet, Enrique Zuazua. Control of reaction-diffusion models in biology and social sciences (2022) Math. Control Relat. Fields Abstract. These lecture notes address the controllability under state constraints of reaction-diffusion equations…

DeustoCCMSeminar: Null controllability of a nonlinear age, space and two-sex structured population dynamics model

On June 20th, Yacouba Simpore visitor scientist at DeustoCCM, Chair of Computational Mathematics, will give a talk on "Null controllability of a nonlinear age, space and two-sex structured population dynamics model",…

Turnpike in Optimal Control PDES, ResNets, and beyond

Brunovsky normal form, Controllability, finite-dimensional systems, Kalman rank condition, lumped control, optimal actuator design.

B. Geshkovski, E. Zuazua, Turnpike in Optimal Control PDES, ResNets and beyond (2022) Acta Numer., Vol. 31, pp. 135-263. doi:10.1017/S0962492922000046 Abstract: The turnpike property in contemporary macroeconomics asserts that if…

Local Stability and Convergence of Unconstrained Model Predictive Control

Daniël Veldman, Enrique Zuazua. Local Stability and Convergence of Unconstrained Model Predictive Control (2022) Abstract. The local stability and convergence for Model Predictive Control (MPC) of unconstrained nonlinear dynamics based on…

Preface- Control and Analysis of Partial Differential Equations

Nicolae Cîndea, Günter Leugering, Jëróme Lohêac, Sorin Micu, Kirsten Morris, Takeo Takahashi and Enrique Zuazua. Preface- Control and Analysis of Partial Differential Equations, Marius Tucsbak 60th Anniversary Volume (2022) Math.…

KiLearn

Project name: KiLearn - Kinetic equations and Learning control Project reference: PID2020-112617GB-C22 Funding source: MINECO Duration: September 2021 - September 2024 Principal Investigator (PI): Miguel Escobedo (UPV/EHU), Enrique Zuazua (Deusto…

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

Crin-Barat T., De Nitti N., Zuazua E.. On the decay of one-dimensional locally and partially dissipated and hyperbolic systems (2022) Abstract. We study the time-asymptotic behavior of linear hyperbolic systems…

Mini-Workshop “Calculus of Variations and Functional Inequalities”

Date: Wed. May 25, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) - Alexander von Humboldt Professorship at…

Benasque Workshop-Summer School: PDE’s, Optimal Design and Numerics

Next Summer, from August 21th to September 2nd, 2022 will be held the "Workshop-Summer School on PDE's, Optimal Design and Numerics" at the Benasque Center for Science in the Spanish…

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

Daniël Veldman, Enrique Zuazua. (2022)A framework for randomized time-splitting in linear-quadratic optimal control Numerische Mathematik. DOI: https://doi.org/10.1007/s00211-022-01290-3 Abstract. Inspired by the successes of stochastic algorithms in the training of deep neural…

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…

Enrique Zuazua awarded 2022 W.T. and Idalia Reid Prize

At DeustoCCM - Chair of Computational Mathematics at Deusto Foundation/University of Deusto, we are glad to announce our Head Prof. Enrique Zuazua is awarded the 2022 W.T. and Idalia Reid…

Controllability of transport network systems by the regular linear systems approach

Next week, on May 9th, our postdoctoral researcher Yassine El Gantouh from UAM, will talk on "Controllability of transport network systems by the regular linear systems approach" at the Advanced…

Seminar in PDE, Tongji University

Last week, April 25th, 2022 Timothée Crin-Barat Postdoctoral researcher at DeustoCCM Chair of Computational Mathematics at University of Deusto talked on "Seminar in Partial differential equations" at the School of…

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…

DeustoCCM Seminar: Fefferman-Stein Theory for Oscillating Singular Integrals

Next Monday May 2, Duvan Cardona Sanchez will give a talk organized by DeustoCCM - Chair of Computational Mathematics on: "Fefferman-Stein Theory for Oscillating Singular Integrals" Slides Abstract. Oscillating Fourier…

Partially dissipative hyperbolic system, results and perspectives

Last week, April 4th-8th, 2022 Timothée Crin-Barat Postdoctoral researcher at DeustoCCM Chair of Computational Mathematics at University of Deusto talked on "Partially dissipative hyperbolic system, results and perspectives" at the…

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:…

Numerical Control: Part A

Emmanuel Trélat, Enrique Zuazua. Numerical Control: Part A First Edition (2022), Elsevier Science & Technology. Handbook of Numerical Analysis XXIII, Vol. 23, p. 1-558, eBook ISBN: 9780323853392, Hardcover ISBN: 9780323850599…

Controllability in Lotka-Volterra competitive systems with positive controls

Next Tuesday April 12 at 11:00H, Elisa Affili Postdoctoral Researcher will give a talk organized by DeustoCCM - Chair of Computational Mathematics on: "Controllability in Lotka-Volterra competitive systems with positive…

CCM double-seminar: “The RBM-MPC Strategy for linear-quadratic optimal control” and “Controllability of transport network systems by the regular linear systems approach”

Next Monday April 4, our team members at DeustoCCM, Alexandra Borkowski with an Internship for her MsC. in Computational and Applied Mathematics and Yassine El gantouh Postdoctoral Reseacher from UAM,…

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…

Interpolation and approximation via Momentum ResNets and Neural ODEs

Domènec Ruiz-Balet, Elisa Affili , Enrique Zuazua. Interpolation and approximation via Momentum ResNets and Neural ODEs IEEE Control Syst. Lett. (2022) Vol. 162, ISSN 0167-6911, https://doi.org/10.1016/j.sysconle.2022.105182 Abstract. In this article,…

Contrôle et apprentissage automatique

Next week, our Head Prof. Enrique Zuazua will talk on "Contrôle et apprentissage automatique" at the Framework: Cycle "Science and Society" organized by LAAMRI El-Haj - Institut Élie Cartan de…

Linear projection-based CEST parameter estimation

F. Glang, Moritz Fabian, A. German, Katrin M Khakzar, A. Mennecke, A. Liebert, K. Herz, P. Liebig, B. Kasper, Manuel Schmidt, E. Zuazua, A. Nagel, F. Laun, A. Dörfler, K.…

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…

Domènec Ruiz-Balet -PhD Thesis defense: “Some control aspects in Mathematical Biology and Deep Learning”

At CCM - Chair of Computational Mathematics, Deusto Foundation - University of Deusto we are glad to announce the PhD thesis defense by our team member Domènec Ruiz-Balet, PhD student from UAM -…

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…

Analysis and numerical solvability of backward-forward conservation laws

Thibault Liard, Enrique Zuazua. Analysis and numerical solvability of backward-forward conservation laws (2022) SIAM Journal on Mathematical Analysis Abstract. In this paper, we study the problem of initial data identification…

MASSAI 2022: Mediterranean and African Summer School on Artificial Intelligence

From June 13 to June 17, 2022 our Head Prof. Enrique Zuazua will talk on "Neural Network PDE" at the MASSAI 2022, the first edition of the "Mediterranean and African…

Smart control. Two converging points of view

On February 24th, our Head Prof. Enrique Zuazua will talk on “Control and Machine Learning” (“Control y Aprendizaje Automático”) at the “Smart control. Two converging points of view” event (“Control…

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…

II [B_1^-] Short-course: Control and Machine Learning by E. Zuazua

On January 26, 27 and 28, 2022 our Head Prof. Enrique Zuazua will talk as main speaker on "Control and Machine Learning" at the II [B_1^-]: Analysis and PDE from…

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…

A Fisher-KPP model with a fast diffusion line in periodic media

This Tuesday January 25th, our Postdoctoral Researcher Elisa Affili will talk on "A Fisher-KPP model with a fast diffusion line in periodic media" (“Un modèle de diffusion Fisher-KPP avec une…

CCM Seminar: Partially dissipative hyperbolic systems, results and perspectives

Next Wednesday January 19, our Timothée Crin-Barat Postdoctoral Researcher at the Chair of Computational Mathematics at University of Deusto/Deusto Foundation will be talking on "Partially dissipative hyperbolic systems, results and…

Seminar Series: Deep Learning in Control

Event: Seminar Series: Deep Learning in Control Speaker: Prof. Dr. Jan Heiland Affiliation: MPI for Dynamics of Complex Technical Systems | OvG University Magdeburg Organized by: FAU DCN-AvH, Chair for…

ACMAM 2022: Control and Machine Learning by Enrique Zuazua

On January 2022 our Head Enrique Zuazua will talk as keynote speaker on "Control and Machine Learning" at the ACMAM 2022 on "Mathematics for Machine Learning" from January 12nd to…

Control and Numerical approximation of Fractional Diffusion Equations

Exterior Control, Finite Element Method, Fractional diffusion equation, Fractional Laplacian, Interior Control, Numerical approximation, simultaneous control

Umberto Biccari, Mahamadi Warma, Enrique Zuazua. Control and Numerical approximation of Fractional Diffusion Equations (2022) Handb. Numer. Anal. Elsevier. ISSN:1570-8659, DOI: https://doi.org/10.1016/bs.hna.2021.12.001 Abstract. The aim of this work is to give…

Mini-Workshop “Recent Advances in Analysis and Control”

Date: Fri. January 14, 2022 Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany) Title: Mini-workshop "Recent Advances in Analysis…

Flow decomposition for heat equations with memory

decomposition of the flow, Heat equations with memory, hybrid parabolichyperbolic phenomenon

G. Wang, Y. Zhang, E. Zuazua. Flow decomposition for heat equations with memory (2022) J. Math. Pures Appl, Vol. 158, pp 183-215, ISSN:0021-7824. https://doi.org/10.1016/j.matpur.2021.11.005 Abstract. We build up a decomposition…

Sidewise control of 1-d waves

1-d wave equations, BV-coefficients, nodal profile con-trol, sidewise controllability, sidewise energy estimates

Y. Sarac, E. Zuazua. Sidewise control of 1-d waves. J Optim Theory Appl. Vol. 193, pp. 931–949 (2022). https://doi.org/10.1007/s10957-021-01986-w Abstract. We analyze the sidewise controllability for the variable coefficients one-dimensional…

Constrained control of gene-flow models

bistable equations, Control, geneflow models, non-controllability, reaction-diffusion equations, spatial heterogeneity, staircase method

Mazari I., Ruiz-Balet D., Zuazua E. Constrained control of gene-flow models. (2021) Ann. Inst. Henri Poincare (C) Anal. Non Lineaire ⟨hal-02373668⟩ Abstract. In ecology and population dynamics, gene-flow refers to the…

Multilevel selective harmonic modulation by duality

Biccari U, Zuazua E. Multilevel selective harmonic modulation by duality (2022) IFAC-PapersOnLine, Vol. 55, No. 16, pp. 56-61, https://doi.org/10.1016/j.ifacol.2022.08.081. Abstract. We address the Selective Harmonic Modulation (SHM) problem in power…