Enrique Zuazua – Page 2 – cmc.deusto.eus

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 Abstract: We analyze the averaged…

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 Abstract: In this paper, we…

Remarks 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 67-89, DOI: 10.1007/978-3-319-39092-5_5 Abstract: Control…

Exact 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: 10.1002/oca.2238 Abstract: We study optimal…

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 (2016), pp. 538-549, DOI: 10.1002/zamm.201500181…

On 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 ,DOI: 10.1007/s00498-016-0162-9 Abstract: This paper…

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 SYST CONTROL LETT. Vol. No.…

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. 58-72, DOI: 10.1016/j.cnsns.2016.02.017 Abstract: We…

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 observing the solutions of a…

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 linear finite dimensional control system…

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 (2019) DOI: 10.1137/15M1044291 Abstract: In…

Null 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, Vol. 261, No. 5 (2016),…

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 time decay rates of a…

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 for parameter-dependent linear finite-dimensional 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 consider a time optimal control…

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...

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.