Ervedoza S., Marica A., Zuazua E. Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis IMA J NUMER ANAL. Vol. 36, No. 2…
View More Numerical meshes ensuring uniform observability of one-dimensional waves: construction and analysisAuthor: Darlis Bracho Tudares
Averaged controllability for random evolution Partial Differential Equations
Lu Q., Zuazua E. Averaged controllability for random evolution Partial Differential Equations J MATH PURE APPL. Vol. 105, No. 3 (2016)., pp. 367–414. DOI: 10.1016/j.matpur.2015.11.004…
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Numerical aspects of large-time optimal control of Burgers equation
Allahverdi N., Pozo A., Zuazua E. Numerical aspects of large-time optimal control of Burgers equation ESAIM-MATH MODEL NUM. Vol. 50. No. 5 (2016). DOI: 10.1051/m2an/2015076…
View More Numerical aspects of large-time optimal control of Burgers equationRemarks on Long Time Versus Steady State Optimal Control
Porretta A., Zuazua E. Remarks on Long Time Versus Steady State Optimal Control Mathematical Paradigms of Climate Science -Springer INdAM Series, Vol. 15 (2016), pp…
View More Remarks on Long Time Versus Steady State Optimal ControlExact penalization of terminal constraints for optimal control problems
Gugat M., Zuazua E. Exact penalization of terminal constraints for optimal control problems >OPTIM CONTR APPL MET., Vol. 37, No. 6 (2016), pp. 1329–1354, DOI:…
View More Exact penalization of terminal constraints for optimal control problems
Randomised observation, control and stabilization of waves
Privat Y., Trélat E., Zuazua E. Randomised observation, control and stabilization of waves J Appl Math Mech Z Angew Math Mech. Vol. 96, No. 5…
View More Randomised observation, control and stabilization of wavesOn the lack of controllability of fractional in time ODE and PDE
Lu Q., Zuazua E. On the lack of controllability of fractional in time ODE and PDE MATH CONTROL SIGNAL. Vol. No. 2 (2016), pp. 28:10…
View More On the lack of controllability of fractional in time ODE and PDE
Optimal Neumann control for the 1D wave equation
Gugat M., Trélat E., Zuazua E. Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property…
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Optimal strategies for driving a mobile agent in a “guidance by repulsion” model
Escobedo R., Ibañez A., Zuazua E Optimal strategies for driving a mobile agent in a “guidance by repulsion” model COMMUN NONLINEAR SCI., Vol.39 (2016), pp.…
View More Optimal strategies for driving a mobile agent in a “guidance by repulsion” model
Stable observation of additive superpositions of Partial Differential Equations
E. Zuazua. Stable observation of additive superpositions of Partial Differential Equations. Syst. Control. Lett. Vol.93 (2016), pp. 21–29, DOI: 10.1016/j.sysconle.2016.02.017 Abstract: We address the problem of…
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From averaged to simultaneous controllability
Lohéac J., Zuazua E. From averaged to simultaneous controllability Ann. Fac. Sci. Toulouse Math. Vol.25, No.4 (2016), pp. 785-828, DOI: 10.5802/afst.1511 Abstract: We consider a…
View More From averaged to simultaneous controllability
Null Controllability of Linear Heat and Wave Equations with Nonlocal Spatial Terms
Fernández-Cara E., Lu Q., Zuazua E. Null Controllability of Linear Heat and Wave Equations with Nonlocal Spatial Terms SIAM J. Control Optim. Vol. 54, No.4…
View More Null Controllability of Linear Heat and Wave Equations with Nonlocal Spatial TermsNull controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
U. Biccari, E. Zuazua Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function J. Differential Equations,…
View More Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
Decay rates for 1−d heat-wave planar networks
Han Z.-J., Zuazua E. Decay rates for 1−d heat-wave planar networks NETW HETEROG MEDIA. Vol. 11, No. 4 (2016), pp. 655–692,DOI: 10.3934/nhm.2016013 Abstract: The large…
View More Decay rates for 1−d heat-wave planar networks
Greedy controllability of finite dimensional linear systems
Lazar M., Zuazua E. Greedy controllability of finite dimensional linear systems Automatica, Vol.74 (2016), pp. 327-340 DOI: 10.1016/j.automatica.2016.08.010 Abstract: We analyse the problem of controllability…
View More Greedy controllability of finite dimensional linear systems
Norm saturating property of time optimal controls for wave-type equations
Lohéac. J, Zuazua E. Norm saturating property of time optimal controls for wave-type equations IFAC-PapersOnLine, Vol. 49, No.8 (2016), pp. 37-42. DOI: 10.1016/j.ifacol.2016.07.415 Abstract: We…
View More Norm saturating property of time optimal controls for wave-type equations
Control of Dynamical Systems by Partial Differential Equations
Many phenomena are common to us all, but the way they work might be less well known. Why? They are dynamic systems! What is a dynamical system? Generally, it means that such kind of systems are described by Partial Differential Equations (PDE), and in order to study them, we have to understand their properties and we need to control some of them…
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People in Control
In this issue of IEEE Control Systems Magazine (CSM) we speak with Enrique Zuazua, head of the Chair of Computational Mathematics at DeustoTech…
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The newly awarded ERC Advanced Grant DYCON-Dynamic Control
The newly funded European Research Council (ERC) Advanced Grant “DYCON – Dynamic control” aims to develop a multifold research agenda in the broad area of Control of Partial Differential Equations (PDE) and their numerical approximation methods…
View More The newly awarded ERC Advanced Grant DYCON-Dynamic Control
Conference of Enrique Zuazua at the Federal Technical College of Lausanne
In this talk we present recent work in collaboration with U. Biccari, Q. Lü and E. Fernández-Cara on the controllability of linear PDE models involving non-local terms…
View More Conference of Enrique Zuazua at the Federal Technical College of Lausanne
Workshop on “Recent Advances in PDEs: Analysis, Numerics and Control”
The aim of this three-day workshop is to bring together leading researchers in nonlinear partial differential equations (PDE), as well as younger researchers in the field, in order to discuss and disseminate the latest results and envisage new challenges…
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LIASFMA Autumn School and Workshop on Control and Inverse Problems for Partial Differential Equations
The Sino-French International Associated Laboratory for Applied Mathematics (LIASFMA) will organize the Autumn School and Workshop on Control and Inverse Problems for Partial Differential Equations at Zhejiang University, Hangzhou in October 17-28, 2016…
View More LIASFMA Autumn School and Workshop on Control and Inverse Problems for Partial Differential Equations
X ENAMA
ENAMA is an anual meeting that aims to create a debate forum between students, professors and researchers, in the fields of Functional and Numerical Analysis and PDE/ODEs…
View More X ENAMAIpOpt/AMPL code sample
Download Code related to the IpOpt and AMPL use to solve time optimal control problems.
Developed by Jérôme Lohéac, Emmanuel Trélat & Enrique Zuazua
Greedy Control MATLAB code
Download Code related to the Greedy Control problem.
Developed by Martin Lazar & Enrique Zuazua.
Nonlinear optimal control via stable manifold approach
Optimal control is a fundamental problem in control theory, but, is still an obstacle in nonlinear control since one has to deal with so-called Hamilton-Jacobi equation (HJE)…
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ERC – Advanced Grant DyCon Training and Research Internships
The DyCon (Dynamic Control) project funded by the European Research Council-ERC brings the opportunity for excellent international students to join the world-class interdisciplinary research center DeustoTech (https://cmc.deusto.eus) in Bilbao, Basque Country, Spain…
View More ERC – Advanced Grant DyCon Training and Research Internships
ERC and Mathematics in Spain
The goal of this meeting is to reflect on the impact that the ERC grants have had on Spanish mathematicians. There will be talks given by recipients of the ERC grants in any of its subprogrammes…
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Enrique Zuazua’s scientific outreach site
On enzuazua.net website I have included some of the material which we have been producing over all these years in an effort to contribute to scientific dissemination…
View More Enrique Zuazua’s scientific outreach site
Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems
We analyze the inverse problem of identifying the diffusivity coefficient of a scalar elliptic equation as a function of the resolvent operator. We prove that, within the class of measurable coefficients, bounded above and below by positive constants, the resolvent determines the diffusivity in an unique manner…
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Gazteak-euskara binomio dinamikoa: erabilera sustatzeko gakoak
Araban euskararen ezaguerak gorakada handia izan du azken 3 hamarkadetan, aldiz euskararen erabilera motz gelditu da. Ezaguera eta erabilera oso desberdina dira adin taldeka eta zonaldeka…
View More Gazteak-euskara binomio dinamikoa: erabilera sustatzeko gakoak
Optimal control of partial differential equations
Workshop “Optimal control of partial differential equations” on the occasion of Eduardo Casas’ 60th birthday at CIEM (International Centre for Mathematical Meetings)…
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VII Partial differential equations, optimal design and numerics
The main purpose of this Workshop-Summer School is to build an opportunity to share recent results, ideas and projects related to the theory of Partial Differential Equations…
View More VII Partial differential equations, optimal design and numerics
Control of Distributed Parameter Systems
The aim of this workshop is to bring together scientists interested in distributed parameter systems, namely those having different points of view and possessing different types of expertise…
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Introduction to the control of Partial Differential Equations
Many of the most challenging issues in Science and Technology need of mathematical models written in terms of Partial Differential Equations (PDE)…
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Workshop on Control & Stabilization of PDEs
The aim of this workshop is to bring together people working on control, inverse problems and stabilization of linear and nonlinear Partial Differential Equations…
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Conference of Enrique Zuazua in the Biennial Congress of the RSME
Several Spanish renowned media have published news about the Conference of Enrique Zuazua in the Biennial Congress of the Royal Spanish Mathematical Society (RSME)…
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Long time behaviour of Optimal Control problems and the Turnpike Property
The seminar will be devoted to the so called “Turnpike Property” in Optimal Control Theory, i.e. we will show the convergence of Non-Stationary Optimal Control Problems to the corresponding Stationary one as the time horizon T tends to infinity…
View More Long time behaviour of Optimal Control problems and the Turnpike Property
Minimal controllability time for the heat equation under state constraints
Can the heat dynamics be controlled under a positivity constraint on the state, requiring that the state remains non-negative all along the time dependent trajectory?…
View More Minimal controllability time for the heat equation under state constraints
Numerical hypocoercivity for the Kolmogorov equation
We prove that a finite-difference centered approximation for the Kolmogorov equation in the whole space preserves the decay properties of continuous solutions as $ t \to \infty $, independently of the mesh-size parameters.
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Mixtura Matemática by Enrique Zuazua | TEDxLeon
Spain. 01.11.2015. It begins with the wonderful phrase of Protagoras: “Man is the measure of all things“…
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Umberto Biccari´s PhD Thesis Defense
Umberto Biccari´s “On the controllability of Partial Differential Equations” involving non-local terms and singular potentials PhD Thesis defence…
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Advanced Grant ERC: DYCON- Dynamic Control
Aristotle claimed that automation would free humans and so is, increasingly, in our daily lives. Norbert Wiener (1894-1964) in turn defined cybernetics as the science of communication and control in animals and machines.
View More Advanced Grant ERC: DYCON- Dynamic Control