Released – cmc.deusto.eus

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…

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…

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…

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…

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…

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…

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…

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.…

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…

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…

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,…

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…

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…

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…

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…

Averaged dynamics and control for heat equations with random diffusion

Bárcena J.A., Zuazua E.. Averaged dynamics and control for heat equations with random diffusion (2021) Syst. Control. Lett. Vol. 158. https://doi.org/10.1016/j.sysconle.2021.105055 Abstract. This paper deals with the averaged dynamics for…

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 (2022) SIAM Journal on Mathematical Analysis, Vol. 54, No. 5, pp. 5388-5423 https://doi.org/10.1137/22M1469353 Abstract. We prove…

Multilevel control by duality

Umberto Biccari, Enrique Zuazua. Multilevel control by duality (2023) Systems & Control Letters, Vol. 175, 105-502, https://doi.org/10.1016/j.sysconle.2023.105502 Abstract. We discuss the multilevel control problem for linear dynamical systems, consisting in designing…

Model predictive control with random batch methods for a guiding problem

Agent-based models, Guiding problem, large scale complex systems, Random

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

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.…

The turnpike property in nonlinear optimal control – A geometric approach

Nonlinear system, optimal control, Turnpike

N. Sakamoto, E. Zuazua. The turnpike property in nonlinear optimal control - A geometric approach. (2021) Automatica., Vol. 134 (2021), p. 109939 Abstract: This paper presents, using dynamical system theory,…

A quantitative analysis of Koopman operator methods for system identification and predictions

C. Zhang, E. Zuazua. A quantitative analysis of Koopman operator methods for system identification and predictions (2023) Comptes Rendus. Mécanique, Vol. 351, No. S1, pp. 1-31. In memory of R.…

Initial data identification for the one-dimensional Burgers equation

Thibault Liard, Enrique Zuazua. Initial data identification for the one-dimensional Burgers equation. (2022). IEEE T Automat. Contr., Vol. 67, No. 6, pp. 3098-3104, DOI: 10.1109/TAC.2021.3096921 Abstract. In this paper, we…

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…

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…

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

Dirac impulse, Minimal time, Nonnegative control

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…

The Inverse Problem for Hamilton-Jacobi equations and Semiconcave Envelopes

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…

Null-controllability of perturbed porous medium gas flow

degenerate parabolic equation, null controllability, porous medium equation, thin-ﬁlm equation

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,…

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

Constraints, Controllability, Mathematical biology, Reaction-diffusion

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…

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

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…

Controllability of a Class of Infinite Dimensional Systems with Age Structure

admisible control operator, age structure, infinite dimensional linear system, null controllability, population dynamics

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

Direct methods, Optimal shape design, Parabolic equation, Strict dissipativity, Turnpike

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

coupled oscillators, gradient descent, Kuramoto model, optimal control, random batch method, synchronization

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

finite dimensional, linear control system, probabilistic

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)…

Turnpike in optimal shape design

Direct methods, heat equation, Optimal shape design, Strict dissipativity, Turnpike

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…

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

Asymptotic stability, Collective behavior, Guidance by repulsion, Herding, optimal control

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

Alignment, emergence, Justh–Krishnaprasad model, nematic alignment, stochastic 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

dynamical system theory, general dynamical systems, geometric approach, nonlinear optimal control, optimal control problems, turnpike property, turnpike-like property

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

Emergent collective behaviors of stochastic kuramoto oscillators

Kuramoto model, mean-field limit, multiplicative noise, random environment, synchronization

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…

Flocking Behaviors of a Cucker-Smale Ensemble in a Cylindrical Domain

aggregation, Alignment, Cucker--Smale model, flocking, specular reflection

Hyeong-Ohk Bae, Seung-Yeal Ha, Jeongho Kim, Dongnam Ko, Sung-Ik Sohn. Flocking Behaviors of a Cucker--Smale Ensemble in a Cylindrical Domain. SIAM J. Math. Anal., 51(3), pp. 2390–2424 (2019). DOI: https://doi.org/10.1137/18M122025X…

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

fractional wave equation, memory term, null controllability

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

Umberto Biccari, Víctor Hernández-Santamaría, Judith 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

Averaged control, Controlled invariant subspace, Linear optimal control, Open-loop control systems, Output controllability

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…

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…

Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids

M. Morales-Hernández, E. Zuazua Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids Comp. Appl. Math. Vol. 38, No. 168 (2019) DOI: 10.1007/s40314-019-0935-0 Abstract: We address…

Null controllability of a nonlocal heat equation with an additive integral kernel

U. Biccari, V. Hernández-Santamaría Null controllability of a nonlocal heat equation with an additive integral kernel. SIAM J. Control Optim., Vol. 57, No. 4 (2019), pp. 2924-2938, DOI: 10.1137/18M1218431 Abstract:…

Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions

released

Y. Privat, E. Trélat & E. Zuazua. Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. CALC VAR PARTIAL DIF. Springer Verlag, Vol. 58, No. 2 (2019) pp.…

Null-controllability properties of the wave equation with a second order memory term

U. Biccari, S. Micu Null-controllability properties of the wave equation with a second order memory termJ DIFFER EQUATIONS, Vol. 267, No. 2 (2019), pp. 1376-1422 doi.org/10.1016/j.jde.2019.02.009 Abstract: We study the…

Dynamics and control for multi-agent networked systems: a finite difference approach

released

U. Biccari, D. Ko, E. Zuazua Dynamics and control for multi-agent networked systems: a finite difference approach. Math. Models Methods Appl. Sci., Vol. 29, No. 4 (2019), pp. 755–790. DOI:…

Phase portrait control for 1D monostable and bistable reaction-diffusion equations

Pouchol C., Trélat E., Zuazua E. Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Nonlinearity, Vol. 32, No. 3 (2019). DOI: 10.1088/1361-6544/aaf07e Abstract: We consider the problem of…

A probabilistic analysis of a Beverton-Holt type discrete model: Theoretical and computing analysis

J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló A probabilistic analysis of a Beverton-Holt type discrete model: Theoretical and computing analysis . COMPUT MATH METHOD M. Vol. 1, No. 1…

A parabolic approach to the control of opinion spreading

released

D. Ruiz-Balet, E. Zuazua A parabolic approach to the control of opinion spreading. In: Berezovski A., Soomere T. (eds) Applied Wave Mathematics II. Mathematics of Planet Earth, Vol 6. Springer,…

Internal observability for coupled systems of linear partial differential equations

Lissy, P., Zuazua, E. Internal observability for coupled systems of linear partial differential equations , SIAM J. Control Optim., Vol. 57, No. 2 (2019), pp. 832–853. DOI: 10.1137/17M1119160 Abstract: We…

A Two-Dimensional “Flea on the Elephant” Phenomenon and its Numerical Visualization

Bianchini, R., Gosse, L., Zuazua, E. A two-dimensional "flea on the elephant" phenomenon and its numerical visualization , Multiscale Model. Simul., Vol. 17, No. 1 (2019), pp. 137–166, DOI: 10.1137/18M1179985.…

Greedy optimal control for elliptic problems and its application to turnpike problems

Hernández-Santamaría V., Lazar M., Zuazua E. Greedy optimal control for elliptic problems and itsapplication to turnpike problemsNUMER MATH. Vol. 141, No. 2, pp.455-493 (2019) DOI: 10.1007/s00211-018-1005-z Abstract: We adapt and…

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…

Solving the Random Pielou Logistic Equation with the Random Variable Transformation Technique: Theory and Applications

J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló Solving the Random Pielou Logistic Equation with the Random Variable Transformation Technique: Theory and Applications. MATH METHOD APPL SCI. Vol. 42, No.…

Controllability of shadow reaction-diffusion systems

Hernández-Santamaría V., E. Zuazua. Controllability of shadow reaction-diffusion systems. J Differ Equations, Vol. 268, No. 7, pp. 3781-3818 (2020). DOI: 10.1016/j.jde.2019.10.012 Abstract: We study the null controllability of linear shadow…

Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loève expansion and the Random Variable Transformation technique

J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loève expansion and the Random Variable Transformation technique, COMMUN NONLINEAR SCI. Vol. 72…

Controllability and Positivity Constraints in Population Dynamics with Age Structuring and Diffusion

D. Maity, M. Tucsnak, E. Zuazua. Controllability and Positivity Constraints in Population Dynamics with Age Structuring and Diffusion, J MATH PURE APPL. Vol. 129 (2019), pp. 153-179. DOI: 10.1016/j.matpur.2018.12.006 Abstract:…

Decay rates for elastic-thermoelastic star-shaped networks

Han Z., Zuazua E. Decay rates for elastic-thermoelastic star-shaped networks Network and Heterogeneous Media, NETW HETEROG MEDIA, Vol. 12, No. 3 (2017), pp. 461-488. DOI: 10.3934/nhm.2017020 Abstract: This work discusses…

Controllability under positivity constraints of multi-d wave equations

Pighin, D., Zuazua, E. Controllability under positivity constraints of multi-d wave equations , Trends in Control Theory and Partial Differential Equations., Vol 32 (2019). DOI: 10.1007/978-3-030-17949-6_11 Abstract: We consider both…

Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces

Trélat E., Zhang C., and Zuazua E. Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces SIAM J. Control Optim., Vol. 2 (2018), pp. 1222-1252. DOI:…

Optimal shape design for 2D heat equations in large time

Trélat E., Zhang C., Zuazua E. Optimal shape design for 2D heat equations in large time J. Appl. Funct. Anal., Vol. 3 (2018), pp. 255-269. DOI: 1705.02764 Abstract: In this…

Minimal controllability time for finite-dimensional control systems under state constraints

Lohéac J., Trélat E., Zuazua, E. Minimal controllability time for finite-dimensional control systems under state constraints Automática, Vol. 96 (2018), pp. 380-392. DOI: 10.1016/j.automatica.2018.07.010 Abstract: We consider the controllability problem…

Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms

Lissy P, and Zuazua E.Internal Controllability for Parabolic Systems Involving Analytic Non-local TermsCHINESE ANN MATH B. Vol. 39, No. 2 (2018), pp. 281-296 DOI: 10.1007/s11401-018-1064-6 Abstract: This paper deals with…

Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential

U. Biccari Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential, Math. Control Relat. F., Vol. 9, No. 1 (2019), pp. 191-219, DOI: 10.3934/mcrf.2019011 Abstract: We analyse…

The Poisson equation from non-local to local

U. Biccari, V. Hernández-Santamaría The Poisson equation from non-local to local, Electronic Journal of Differential Equations, Vol. 2018 (2018), No. 145, pp. 1-13. DOI: arXiv:1801.09470 Abstract: We analyze the limit…

Allee optimal control of a system in ecology

Trélat E., Zhu J., Zuazua, E. Allee optimal control of a system in ecology , Math. Models Methods Appl. Sci., Vol. 28, No. 09 (2018), pp. 1665-1697. DOI: 10.1142/S021820251840002X Abstract:…

Preface: A tribute to professor Eduardo Casas on his 60th birthday

Fernández L.A., Mateos M., Pola C., Tröltzsch F., Zuazua E. Preface: A tribute to professor Eduardo Casas on his 60th birthday MATH CONTROL RELAT F. Vol. 8, No. 1 (2018)…

Controllability under positivity constraints of semilinear heat equations

Pighin, D., Zuazua, E. Controllability under positivity constraints of semilinear heat equations MATH CONTROL RELAT F., Vol. 8, No. 3-4 (2018). DOI: 10.3934/mcrf.2018041 Abstract: In many practical applications of control…

Hierarchic control for a coupled parabolic system

Hernández-Santamaría V., de Teresa L., Poznyak A. Hierarchic control for a coupled parabolic system . Port. Math. Vol. 73 (2016), pp. 115-137, DOI: 10.4171/PM/1979 Abstract: In this paper we study…

Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspects

U. Biccari, V. Hernández-Santamaría Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspects, IMA J. Math. Control Inf., Vol. 36, No. 4 (2019), pp. 1199-1235. DOI: 10.1093/imamci/dny025 Abstract:…

Local regularity for fractional heat equations

U. Biccari, M. Warma, E. Zuazua Local regularity for fractional heat equations<, Recent Advances in PDEs: Analysis, Numerics and Control, SEMA SIMAI Springer Series, Vol. 17 (2018). DOI: 10.1007/978-3-319-97613-6 Abstract:…

Controllability of Evolution Equations with Memory

Felipe W. Chaves-Silva, Xu Zhang, and Enrique Zuazua Controllability of Evolution Equations with Memory. SIAM J. Control Optim., 55(4), 2437–2459. (23 pages) DOI: 10.1137/151004239 Abstract: This article is devoted to studying…

Null controllability for wave equations with memory

Lu Q., Zhang X., Zuazua E. Null controllability for wave equations with memory, J. Math. Pures Appl., Vol. 108, No. 4 (2017), pp. 500-531. DOI: 10.1016/j.matpur.2017.05.001 Abstract: We study the…

Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equation

L. Gosse, E. Zuazua. Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equation. Innovative Algorithms and Analysis,Gosse, Laurent, Natalini, Roberto (Eds.), Springer INdAM Series 16, 2017, 197-228. DOI:…

Averaged controllability of parameter dependent conservative semigroups

Lohéac J., Zuazua E. Averaged controllability of parameter dependent conservative semigroups Journal of Differential Equations, 262 (3) (2017), 1540–1574 DOI: 10.1016/j.jde.2016.10.017 Abstract: We consider the problem of averaged controllability for…