Esteve C., Zuazua E.. Differentiability with respect to the initial condition for Hamilton-Jacobi equations (2021) Abstract. We prove that the viscosity solution to a Hamilton-Jacobi…
View More Differentiability with respect to the initial condition for Hamilton-Jacobi equationsCategory: Submitted
Submitted publications from the CCM
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 (2021) Abstract. In this article, we explore the effects…
View More Interpolation and approximation via Momentum ResNets and Neural ODEsControl of certain parabolic models from biology and social sciences
Domènec Ruiz-Balet, , Enrique Zuazua. Control of certain parabolic models from biology and social sciences (2021) Abstract. These lecture notes address the controllability under state…
View More Control of certain parabolic models from biology and social sciencesSidewise control of 1-d waves
Yesim Sarac, Enrique Zuazua. Sidewise control of 1-d waves. (2021) Abstract. We analyze the sidewise controllability for the variable coefficients one-dimensional wave equation. The control…
View More Sidewise control of 1-d wavesA framework for randomized time-splitting in linear-quadratic optimal control
Daniël Veldman, Enrique Zuazua. A framework for randomized time-splitting in linear-quadratic optimal control (2021) Abstract. Inspired by the successes of stochastic algorithms in the training of…
View More A framework for randomized time-splitting in linear-quadratic optimal controlSpecial issue in the honor of Enrique Zuazua’s 60th birthday
G. Buttazzo, E. Casas, L. de Teresa, R. Glowinski, G. Leugering, E. Trélat and X. Zhang (eds.). Special issue in the honor of Enrique Zuazua’s 60th…
View More Special issue in the honor of Enrique Zuazua’s 60th birthdayMultilevel control by duality
Umberto Biccari, Enrique Zuazua. Multilevel control by duality (2021) Abstract. We discuss the multilevel control problem for linear dynamical systems, consisting in designing a piece-wise constant…
View More Multilevel control by dualitySlow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems
Zhong-Jie Han, E. Zuazua, Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems (2021) Abstract: This paper is devoted to analysing the explicit slow decay…
View More Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problemsOptimal actuator design via Brunovsky’s normal form
B. Geshkovski, E. Zuazua, Optimal actuator design via Brunovsky’s normal form (2021) Abstract: In this paper, by using the Brunovsky normal form, we provide a…
View More Optimal actuator design via Brunovsky’s normal formOptimal control for neural ODE in a long time horizon and applications to the classification and simultaneous controllability problems
Jon Asier Bárcena-Petisco. Optimal control for neural ODE in a long time horizon and applications to the classification (2021) Abstract. We study the optimal control…
View More Optimal control for neural ODE in a long time horizon and applications to the classification and simultaneous controllability problemsA quantitative analysis of Koopman operator methods for system identification and predictions
Christophe Zhang, Enrique Zuazua. A quantitative analysis of Koopman operator methods for system identification and predictions (2021) Abstract. We give convergence and cost estimates for…
View More A quantitative analysis of Koopman operator methods for system identification and predictionsOptimal control of linear non-local parabolic problems with an integral kernel
Umberto Biccari, Víctor Hernández-Santamaría, Loic Louison, Abdennebi Omrane. Optimal control of linear non-local parabolic problems with an integral kernel. (2021) Abstract. We consider a linear non-local…
View More Optimal control of linear non-local parabolic problems with an integral kernelBlow-up results for a logarithmic pseudo-parabolic p(.)-Laplacian type equation
Abita Rahmoune, Umberto Biccari. Blow-up results for a logarithmic pseudo-parabolic -Laplacian equation. (2021) Abstract. In this paper, we consider an initial-boundary value problem for the following…
View More Blow-up results for a logarithmic pseudo-parabolic p(.)-Laplacian type equationLocal null controllability of the penalized Boussinesq system with a reduced number of controls
J.A. Bárcena-Petisco, Kevin Le Balc’H. Local null controllability of the penalized Boussinesq system with a reduced number of controls (2021) Abstract. In this paper we consider…
View More Local null controllability of the penalized Boussinesq system with a reduced number of controlsControl of Hyperbolic and Parabolic Equations on Networks and Singular limits
J.A. Bárcena-Petisco, M. Cavalcante, G.M. Coclite, N. de Nitti, Enrique Zuazua. Control of Hyperbolic and Parabolic Equations on Networks and Singular limits (2021) Abstract. We study…
View More Control of Hyperbolic and Parabolic Equations on Networks and Singular limitsThe turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation
C. Esteve, H. Kouhkouh, D. Pighin, E. Zuazua. The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation Abstract: In this work, we analyze the…
View More The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equationConstrained control of gene-flow models
Mazari I., Ruiz-Balet D., Zuazua E.. Constrained control of gene-flow models. (2021) ⟨hal-02373668⟩ Abstract. In ecology and population dynamics, gene-flow refers to the transfer of…
View More Constrained control of gene-flow modelsNeural ODE Control for Classification, Approximation and Transport
Ruiz-Balet D., Zuazua E. Neural ODE Control for Classification, Approximation and Transport (2021) Abstract. We analyze Neural Ordinary Differential Equations (NODEs) from a control theoretical…
View More Neural ODE Control for Classification, Approximation and TransportLarge-time asymptotics in deep learning
Esteve C., Geshkovski B., Pighin D., Zuazua E. Large-time asymptotics in deep learning (2021). hal-02912516 Abstract. It is by now well-known that practical deep supervised learning…
View More Large-time asymptotics in deep learningMultiplicity of solutions for fractional q(.)-Laplacian equations
Abita Rahmoune, Umberto Biccari. Multiplicity of solutions for fractional -Laplacian equations. (2021) Abstract. In this paper, we deal with the following elliptic type problem where is…
View More Multiplicity of solutions for fractional q(.)-Laplacian equationsMultilevel Selective Harmonic Modulation via Optimal Control
Deyviss Jesús Oroya-Villalta, Carlos Esteve-Yagüe Umberto Biccari. Multilevel Selective Harmonic Modulation via Optimal Control. (2021) Abstract. We consider the Selective Harmonic Modulation (SHM) problem, consisting in…
View More Multilevel Selective Harmonic Modulation via Optimal ControlControl and Deep Learning: Some connections
B. Geshkovski, E. Zuazua. Control and Deep Learning: Some connections (2021) This note is an extended abstract for a talk given by the second author…
View More Control and Deep Learning: Some connectionsSparse approximation in learning via neural ODEs
Esteve C., Geshkovski B. Sparse approximation in learning via neural ODEs (2021) Abstract. We consider the continuous-time, neural ordinary differential equation (neural ODE) perspective of deep…
View More Sparse approximation in learning via neural ODEsReachable subspaces, control regions and heat equations with memory
G. Wang, Y. Zhang, E. Zuazua. Reachable subspaces, control regions and heat equations with memory. (2021) Abstract. We study the controlled heat equations with analytic…
View More Reachable subspaces, control regions and heat equations with memoryRotor imbalance suppression by optimal control
M. Gnuffi, D. Pighin, N. Sakamoto Rotor imbalance suppression by optimal control (2021) Abstract. An imbalanced rotor is considered. A system of moving balancing masses…
View More Rotor imbalance suppression by optimal controlAnalysis and numerics solvability of backward-forward conservation laws
Thibault Liard, Enrique Zuazua. Analysis and numerics solvability of backward-forward conservation laws. (2020) Abstract. In this paper, we study the problem of initial data identification…
View More Analysis and numerics solvability of backward-forward conservation lawsTurnpike in Lipschitz-nonlinear optimal control
Esteve C., Geshkovski G., Pighin D., Zuazua E. . Turnpike in Lipschitz-nonlinear optimal control (2020) Abstract. We present a new proof of the turnpike property…
View More Turnpike in Lipschitz-nonlinear optimal controlThe turnpike with lack of observability
Pighin D., Sakamoto N. The turnpike with lack of observability (2020) Abstract: We obtain turnpike results for optimal control problems with lack of stabilizability in the…
View More The turnpike with lack of observabilityStochastic optimization methods for the simultaneous control of parameter-dependent systems
Umberto Biccari, Ana Navarro-Quiles, Enrique Zuazua. Stochastic optimization methods for the simultaneous control of parameter-dependent systems (2020) Abstract. We address the application of stochastic optimization methods…
View More Stochastic optimization methods for the simultaneous control of parameter-dependent systemsCost of null controllability for parabolic equations with vanishing diffusivity and a transport term
Bárcena-Petisco J.A., Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term (2020). HAL Id: hal-02455632 Abstract. In this paper we…
View More Cost of null controllability for parabolic equations with vanishing diffusivity and a transport termA fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive models
I. Mazari, D. Ruiz-Balet. A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive models (2020) Abstract. Following…
View More A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive modelsAsymptotic behavior of scalar convection-diffusion equations
Enrique Zuazua. Asymptotic behavior of scalar convection-diffusion equations (2020) Abstract. In these lecture notes, we address the problem of large-time asymptotic behaviour of the solutions to…
View More Asymptotic behavior of scalar convection-diffusion equationsA PDE-ODE model for traffic control with autonomous vehicles
Thibault Liard, Raphael Stern, Maria Laura Delle Monache. A PDE-ODE model for traffic control with autonomous vehicles. (2020) Abstract. We introduce a coupled PDE-ODEs model…
View More A PDE-ODE model for traffic control with autonomous vehiclesExistence 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 (2020). Abstract. In this paper, we consider the…
View More Existence and cost of boundary controls for a degenerate/singular parabolic equationA controlled multiscale model for traffic regulation via autonomous vehicles
T. Liard, . A controlled multiscale model for traffic regulation via autonomous vehicles. (2019) Abstract. Autonomous vehicles ($AV$s) allow new ways of regulating the traffic…
View More A controlled multiscale model for traffic regulation via autonomous vehiclesOn entropic solutions to conservation laws coupled with moving bottlenecks
T. Liard, Benedetto Piccoli. On entropic solutions to conservation laws coupled with moving bottlenecks. (2019) Abstract. Moving bottlenecks in road traffic represent an interesting mathematical…
View More On entropic solutions to conservation laws coupled with moving bottlenecksOptimal 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. (2019) Abstract. This article considers the possibility of…
View More Optimal driving strategies for traffic control with autonomous vehiclesInverse design for the one-dimensional Burgers equation
T. Liard, E. Zuazua. Inverse design for the one-dimensional Burgers equation. (2019) Abstract. In this paper, we study the problem of inverse design for the…
View More Inverse design for the one-dimensional Burgers equationControllability properties from the exterior under positivity constraints for a 1-D fractional heat equation
Antil H, Biccari U, Ponce R, Warma M, Zamorano S. Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation Abstract.…
View More Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equationModel reduction of converter-dominated power systems by Singular Perturbation Theory
U. Biccari, N. Sakamoto, E. Unamuno, D. Madariaga, E. Zuazua, J.A. Barrena. Model reduction of converter-dominated power systems by Singular Perturbation Theory Abstract: The increasing integration of power electronic devices is driving the development of more…
View More Model reduction of converter-dominated power systems by Singular Perturbation TheoryTurnpike in optimal shape design for heat equation
G. Lance, E. Trélat, E. Zuazua Turnpike in optimal shape design for heat equation Abstract: After a short presentation of the turnpike’s problem in optimal…
View More Turnpike in optimal shape design for heat equationMathematical model to asses impact of vih/aids infection in the spread of tuberculosis
Nkamba L. Abstract: Tuberculosis is a serious problem of public health in several countries. Tuberculosis (TB) is an infectious disease caused by the bacillus Mycobacterium…
View More Mathematical model to asses impact of vih/aids infection in the spread of tuberculosis