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DYCON SIGNED

Dynamic Control and Numerics of Partial Differential Equations

Total Cost €

0

EC-Contrib. €

0

Partnership

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 DYCON project word cloud

Explore the words cloud of the DYCON project. It provides you a very rough idea of what is the project "DYCON" about.

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Project "DYCON" data sheet

The following table provides information about the project.

Coordinator
FUNDACION DEUSTO 

Organization address
address: Avenida de las Universidades 24
city: Bilbao
postcode: 48007
website: www.deusto.es

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Spain [ES]
 Project website http://cmc.deusto.eus/
 Total cost 2˙065˙125 €
 EC max contribution 2˙065˙125 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-AdG
 Funding Scheme ERC-ADG
 Starting year 2016
 Duration (year-month-day) from 2016-10-01   to  2021-09-30

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    FUNDACION DEUSTO ES (Bilbao) coordinator 1˙620˙840.00
2    UNIVERSIDAD AUTONOMA DE MADRID ES (MADRID) participant 444˙285.00

Map

 Project objective

This project aims at making a breakthrough contribution in the broad area of Control of Partial Differential Equations (PDE) and their numerical approximation methods by addressing key unsolved issues appearing systematically in real-life applications. To this end, we pursue three objectives: 1) to contribute with new key theoretical methods and results, 2) to develop the corresponding numerical tools, and 3) to build up new computational software, the DYCON-COMP computational platform, thereby bridging the gap to applications. The field of PDEs, together with numerical approximation and simulation methods and control theory, have evolved significantly in the last decades in a cross-fertilization process, to address the challenging demands of industrial and cross-disciplinary applications such as, for instance, the management of natural resources, meteorology, aeronautics, oil industry, biomedicine, human and animal collective behaviour, etc. Despite these efforts, some of the key issues still remain unsolved, either because of a lack of analytical understanding, of the absence of efficient numerical solvers, or of a combination of both. This project identifies and focuses on six key topics that play a central role in most of the processes arising in applications, but which are still poorly understood: control of parameter dependent problems; long time horizon control; control under constraints; inverse design of time-irreversible models; memory models and hybrid PDE/ODE models, and finite versus infinite-dimensional dynamical systems. These topics cannot be handled by superposing the state of the art in the various disciplines, due to the unexpected interactive phenomena that may emerge, for instance, in the fine numerical approximation of control problems. The coordinated and focused effort that we aim at developing is timely and much needed in order to solve these issues and bridge the gap from modelling to control, computer simulations and applications.

 Publications

year authors and title journal last update
List of publications.
2019 Víctor Hernández-Santamaría, Enrique Zuazua
Controllability of shadow reaction-diffusion systems
published pages: , ISSN: 0022-0396, DOI: 10.1016/j.jde.2019.10.012
Journal of Differential Equations 2020-01-28
2018 Umberto Biccari and Víctor Hernández-Santamaría
OUP accepted manuscript
published pages: , ISSN: 0265-0754, DOI: 10.1093/imamci/dny025
Ima Journal Of Mathematical Control And Information 2020-01-28
2017 Qi Lü, Xu Zhang, Enrique Zuazua
Null controllability for wave equations with memory
published pages: 500-531, ISSN: 0021-7824, DOI: 10.1016/j.matpur.2017.05.001
Journal de Mathématiques Pures et Appliquées 108/4 2020-01-27
2019 Umberto Biccari, Víctor Hernández-Santamaría
Null Controllability of Linear and Semilinear Nonlocal Heat Equations with an Additive Integral Kernel
published pages: 2924-2938, ISSN: 0363-0129, DOI: 10.1137/18m1218431
SIAM Journal on Control and Optimization 57/4 2020-01-27
2016 Jérôme Lohéac, Enrique Zuazua
From averaged to simultaneous controllability
published pages: 785-828, ISSN: 0240-2963, DOI: 10.5802/afst.1511
Annales de la faculté des sciences de Toulouse Mathématiques 25/4 2020-01-27
2019 M. Morales-Hernández, E. Zuazua
Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
published pages: , ISSN: 2238-3603, DOI: 10.1007/s40314-019-0935-0
Computational and Applied Mathematics 38/4 2020-01-27
2018 Emmanuel Trélat, Can Zhang and Enrique Zuazua
Optimal shape design for 2D heat equations in large time
published pages: 255-269, ISSN: 2189-3764, DOI:
J. Appl. Funct. Anal. 3 2020-01-27
2017 Yannick Privat, Emmanuel Trélat, Enrique Zuazua
Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method
published pages: 1128-1152, ISSN: 0363-0129, DOI: 10.1137/16M1058418
SIAM Journal on Control and Optimization 55/2 2019-11-26
2018 Emmanuel Trélat, Can Zhang, Enrique Zuazua
Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces
published pages: 1222-1252, ISSN: 0363-0129, DOI: 10.1137/16M1097638
SIAM Journal on Control and Optimization 56/2 2019-11-26
2019 Umberto Biccari, Sorin Micu
Null-controllability properties of the wave equation with a second order memory term
published pages: 1376-1422, ISSN: 0022-0396, DOI: 10.1016/j.jde.2019.02.009
Journal of Differential Equations 267/2 2019-11-26
2019 Pierre Lissy, Enrique Zuazua
Internal Observability for Coupled Systems of Linear Partial Differential Equations
published pages: 832-853, ISSN: 0363-0129, DOI: 10.1137/17m1119160
SIAM Journal on Control and Optimization 57/2 2019-11-26
2017 Enrique Zuazua
Large time control and turnpike properties for wave equations
published pages: 199-210, ISSN: 1367-5788, DOI: 10.1016/j.arcontrol.2017.04.002
Annual Reviews in Control 44 2019-11-26
2019 Umberto Biccari, Dongnam Ko, Enrique Zuazua
Dynamics and control for multi-agent networked systems: A finite-difference approach
published pages: 755-790, ISSN: 0218-2025, DOI: 10.1142/s0218202519400050
Mathematical Models and Methods in Applied Sciences 29/04 2019-11-26
2019 Víctor Hernández-Santamaría, Martin Lazar, Enrique Zuazua
Greedy optimal control for elliptic problems and its application to turnpike problems
published pages: 455-493, ISSN: 0029-599X, DOI: 10.1007/s00211-018-1005-z
Numerische Mathematik 141/2 2019-11-26
2019 Camille Pouchol, Emmanuel Trélat, Enrique Zuazua
Phase portrait control for 1D monostable and bistable reaction–diffusion equations
published pages: 884-909, ISSN: 0951-7715, DOI: 10.1088/1361-6544/aaf07e
Nonlinearity 32/3 2019-11-26
2017 Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Minimal controllability time for the heat equation under unilateral state or control constraints
published pages: 1587-1644, ISSN: 0218-2025, DOI: 10.1142/S0218202517500270
Mathematical Models and Methods in Applied Sciences 27/09 2019-11-26
2016 Mourad Choulli, Enrique Zuazua
Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems
published pages: 1174-1187, ISSN: 1631-073X, DOI: 10.1016/j.crma.2016.10.017
Comptes Rendus Mathematique 354/12 2019-11-26
2018 Dario Pighin, Enrique Zuazua
Controllability under positivity constraints of semilinear heat equations
published pages: 935-964, ISSN: 2156-8499, DOI: 10.3934/mcrf.2018041
Mathematical Control & Related Fields 8/3 2019-11-26
2017 Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Local Elliptic Regularity for the Dirichlet Fractional Laplacian
published pages: , ISSN: 1536-1365, DOI: 10.1515/ans-2017-0014
Advanced Nonlinear Studies 17/2 2019-11-26
2018 Debayan Maity, Marius Tucsnak, Enrique Zuazua
Controllability and positivity constraints in population dynamics with age structuring and diffusion
published pages: , ISSN: 0021-7824, DOI: 10.1016/j.matpur.2018.12.006
Journal de Mathématiques Pures et Appliquées 2019-11-26
2018 Emmanuel Trélat, Jiamin Zhu, Enrique Zuazua
Allee optimal control of a system in ecology
published pages: 1665-1697, ISSN: 0218-2025, DOI: 10.1142/s021820251840002x
Mathematical Models and Methods in Applied Sciences 28/09 2019-11-26
2017 Felipe W. Chaves-Silva, Xu Zhang, Enrique Zuazua
Controllability of Evolution Equations with Memory
published pages: 2437-2459, ISSN: 0363-0129, DOI: 10.1137/151004239
SIAM Journal on Control and Optimization 55/4 2019-11-26
2017 Jérôme Lohéac, Enrique Zuazua
Averaged controllability of parameter dependent conservative semigroups
published pages: 1540-1574, ISSN: 0022-0396, DOI: 10.1016/j.jde.2016.10.017
Journal of Differential Equations 262/3 2019-11-26
2017 Zhong-Jie Han, Enrique Zuazua
Decay rates for elastic-thermoelastic star-shaped networks
published pages: 461-488, ISSN: 1556-1801, DOI: 10.3934/nhm.2017020
Networks and Heterogeneous Media 12/3 2019-11-26
2018 Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Minimal controllability time for finite-dimensional control systems under state constraints
published pages: 380-392, ISSN: 0005-1098, DOI: 10.1016/j.automatica.2018.07.010
Automatica 96 2019-11-26
2019 Umberto Biccari
Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential
published pages: 191-219, ISSN: 2156-8499, DOI: 10.3934/mcrf.2019011
Mathematical Control & Related Fields 9/1 2019-11-26
2017 L. N. Nkamba, J. M. Ntaganda, H. Abboubakar, J. C. Kamgang, Lorenzo Castelli
Global Stability of a SVEIR Epidemic Model: Application to Poliomyelitis Transmission Dynamics
published pages: 98-112, ISSN: 2327-4018, DOI: 10.4236/ojmsi.2017.51008
Open Journal of Modelling and Simulation 05/01 2019-11-26
2019 Camille Pouchol, Emmanuel Trélat, Enrique Zuazua
Phase portrait control for 1D monostable and bistable reaction–diffusion equations
published pages: 884-909, ISSN: 0951-7715, DOI: 10.1088/1361-6544/aaf07e
Nonlinearity 32/3 2019-11-26
2019 Geshkovski, Borjan; Zuazua, Enrique
Controllability of one-dimensional viscous free boundary flows
published pages: 20, ISSN: , DOI:
https://hal.archives-ouvertes.fr/hal-02277740 3 2019-11-26
2019 Pierre Lissy, Enrique Zuazua
Internal Observability for Coupled Systems of Linear Partial Differential Equations
published pages: 832-853, ISSN: 0363-0129, DOI: 10.1137/17m1119160
SIAM Journal on Control and Optimization 57/2 2019-11-26
2019 Geshkovski, Borjan
Null-controllability of perturbed porous medium gas flow
published pages: 27, ISSN: , DOI:
hal.archives-ouvertes.fr 2019-11-26
2019 Umberto Biccari, Sorin Micu
Null-controllability properties of the wave equation with a second order memory term
published pages: 1376-1422, ISSN: 0022-0396, DOI: 10.1016/j.jde.2019.02.009
Journal of Differential Equations 267/2 2019-11-26
2018 Umberto Biccari, Víctor Hernández-Santamaría
OUP accepted manuscript
published pages: , ISSN: 0265-0754, DOI: 10.1093/imamci/dny025
Ima Journal Of Mathematical Control And Information 2019-11-26
2019 Umberto Biccari, Dongnam Ko, Enrique Zuazua
Dynamics and control for multi-agent networked systems: A finite-difference approach
published pages: 755-790, ISSN: 0218-2025, DOI: 10.1142/s0218202519400050
Mathematical Models and Methods in Applied Sciences 29/04 2019-11-26

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