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…
View More Control and Numerical approximation of Fractional Diffusion EquationsCategory: Released
Released publications from the CCM
Flow decomposition for heat equations with memory
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.…
View More Flow decomposition for heat equations with memoryAveraged 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…
View More Averaged dynamics and control for heat equations with random diffusionModel 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,…
View More Model predictive control with random batch methods for a guiding problemClassical 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.…
View More Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systemsThe turnpike property in nonlinear optimal control – A geometric approach
N. Sakamoto, E. Zuazua. The turnpike property in nonlinear optimal control – A geometric approach. (2021) Automatica., Vol. 134 (2021), p. 109939 Abstract: This paper…
View More The turnpike property in nonlinear optimal control – A geometric approachControllability 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…
View More Controllability of one-dimensional viscous free boundary flowsThe 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…
View More The turnpike property in semilinear controlThe 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:…
View More The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-smooth Tracking TermsLocal 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.…
View More Local null controllability of a model system for strong interaction between internal solitary wavesNonnegative 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…
View More Nonnegative control of finite-dimensional linear systemsThe 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…
View More The Inverse Problem for Hamilton-Jacobi equations and Semiconcave EnvelopesNull-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…
View More Null-controllability of perturbed porous medium gas flowControl 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.…
View More Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equationsSparse 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…
View More Sparse source identification of linear diffusion–advection equations by adjoint methodsControllability 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.…
View More Controllability of a Class of Infinite Dimensional Systems with Age StructureShape 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…
View More Shape turnpike for linear parabolic PDE modelsA 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).…
View More A stochastic approach to the synchronization of coupled oscillatorsFull 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…
View More Full probabilistic solution of a infinite dimensional linear control system with random initial and final conditionsTurnpike 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…
View More Turnpike in optimal shape designAsymptotic 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…
View More Asymptotic behavior and control of a “guidance by repulsion” modelStochastic 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…
View More Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noisesThe 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)…
View More The turnpike property in nonlinear optimal control – A geometric approachControllability 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
View More Controllability of the one-dimensional fractional heat equation under positivity constraintsEmergent 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.…
View More Emergent collective behaviors of stochastic kuramoto oscillatorsFlocking Behaviors of a Cucker-Smale Ensemble in a Cylindrical Domain
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),…
View More Flocking Behaviors of a Cucker-Smale Ensemble in a Cylindrical DomainNull-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.…
View More Null-controllability properties of a fractional wave equation with a memory termPropagation 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.…
View More Propagation of one and two-dimensional discrete waves under finite difference approximationOutput 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…
View More Output controllability in a long-time horizonAdjoint 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)…
View More Adjoint computational methods for 2D inverse design of linear transport equations on unstructured gridsNull 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),…
View More Null controllability of a nonlocal heat equation with an additive integral kernelSpectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions
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.…
View More Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctionsNull-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…
View More Null-controllability properties of the wave equation with a second order memory termDynamics and control for multi-agent networked systems: a finite difference approach
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.…
View More Dynamics and control for multi-agent networked systems: a finite difference approachPhase 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:…
View More Phase portrait control for 1D monostable and bistable reaction-diffusion equationsA 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…
View More A probabilistic analysis of a Beverton-Holt type discrete model: Theoretical and computing analysisA parabolic approach to the control of opinion spreading
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…
View More A parabolic approach to the control of opinion spreadingInternal 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.…
View More Internal observability for coupled systems of linear partial differential equationsA 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…
View More A Two-Dimensional “Flea on the Elephant” Phenomenon and its Numerical VisualizationGreedy 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:…
View More Greedy optimal control for elliptic problems and its application to turnpike problemsSolving 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…
View More Solving the Random Pielou Logistic Equation with the Random Variable Transformation Technique: Theory and ApplicationsControllability 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…
View More Controllability of shadow reaction-diffusion systemsAnalysis 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,…
View More Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loève expansion and the Random Variable Transformation techniqueControllability 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),…
View More Controllability and Positivity Constraints in Population Dynamics with Age Structuring and DiffusionDecay 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:…
View More Decay rates for elastic-thermoelastic star-shaped networksControllability 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:…
View More Controllability under positivity constraints of multi-d wave equationsSteady-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.…
View More Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spacesOptimal 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.…
View More Optimal shape design for 2D heat equations in large timeMinimal 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:…
View More Minimal controllability time for finite-dimensional control systems under state constraintsInternal 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…
View More Internal Controllability for Parabolic Systems Involving Analytic Non-local TermsBoundary 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,…
View More Boundary controllability for a one-dimensional heat equation with a singular inverse-square potentialThe 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…
View More The Poisson equation from non-local to localAllee 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),…
View More Allee optimal control of a system in ecologyPreface: 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.…
View More Preface: A tribute to professor Eduardo Casas on his 60th birthdayControllability 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…
View More Controllability under positivity constraints of semilinear heat equationsHierarchic 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:…
View More Hierarchic control for a coupled parabolic systemControllability 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),…
View More Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspectsLocal 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.…
View More Local regularity for fractional heat equationsControllability 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…
View More Controllability of Evolution Equations with MemoryNull 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:…
View More Null controllability for wave equations with memoryFiltered 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…
View More Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equationAveraged 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…
View More Averaged controllability of parameter dependent conservative semigroups
Minimal controllability time for the heat equation under unilateral state or control constraints
Lohéac J., Trélat E., Zuazua E. Minimal controllability time for the heat equation under unilateral state or control constraints . Mathematical Models and Methods in Applied…
View More Minimal controllability time for the heat equation under unilateral state or control constraintsLocal elliptic regularity for the Dirichlet fractional Laplacian
U. Biccari, M. Warma, E. Zuazua Local elliptic regularity for the Dirichlet fractional Laplacian Advanced Nonlinear Studies, Vol. 17, Nr. 2 (2017), pp. 387-409. DOI:…
View More Local elliptic regularity for the Dirichlet fractional LaplacianAddendum: Local elliptic regularity for the Dirichlet fractional Laplacian
U. Biccari, M. Warma, E. Zuazua Addendum: Local elliptic regularity for the Dirichlet fractional Laplacian Adv. Nonlinear Stud., Vol. 17, Nr. 4 (2017), pp. 837-839.…
View More Addendum: Local elliptic regularity for the Dirichlet fractional LaplacianLarge time control and turnpike properties for wave equations
Zuazua E. Large time control and turnpike properties for wave equations ANNU REV CONTROL. Vol. 40 (2017), pp. 199-210 DOI: 10.1016/j.arcontrol.2017.04.002 Abstract: In the last…
View More Large time control and turnpike properties for wave equationsActuator design for parabolic distributed parameter systems with the moment method
Privat Y., Trélat E., Zuazua E. Actuator design for parabolic distributed parameter systems with the moment method SIAM J CONTROL OPTIM. Vol. 55, No. 2…
View More Actuator design for parabolic distributed parameter systems with the moment methodOptimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains
Privat Y., Trélat E., Zuazua E. Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains J EUR MATH SOC. Vol. 18,…
View More Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains
Dispersion for 1-D Schrödinger and wave equations with BV coefficients
Beli C. N., Ignat L. I., Zuazua E. Dispersion for 1-D Schrödinger and wave equations with BV coefficients ANN I H POINCARE-AN. Vol. No. 33…
View More Dispersion for 1-D Schrödinger and wave equations with BV coefficients
Numerical aspects of sonic-boom minimization
Allahverdi N., Pozo A., Zuazua E. Numerical aspects of sonic-boom minimization COMMUN CONTEMP MATH. Vol. No. 658 (2016), pp. 267 – 279. DOI: 10.1090/conm/658/13133 Abstract:…
View More Numerical aspects of sonic-boom minimizationNumerical meshes ensuring uniform observability of one-dimensional waves: construction and analysis
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 analysis
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…
View More Averaged controllability for random evolution Partial Differential Equations
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…
View More Optimal Neumann control for the 1D wave equation
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…
View More Stable observation of additive superpositions of Partial Differential Equations
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
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…
View More Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems
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.
View More Numerical hypocoercivity for the Kolmogorov equation