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 connectionsCategory: WP5-MHM
WP5: Models involving memory terms and hybrid PDE+ODE systems (MHM)
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) Abstract. In this work, we address the local controllability of…
View More Controllability of one-dimensional viscous free boundary flowsInternal 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 (2021) Abstract: We analyze the interior controllability problem for a nonlocal…
View More Internal control for a non-local Schrödinger equation involving the fractional Laplace operatorNull-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…
View More Null-controllability of perturbed porous medium gas flowControllability 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 StructureA 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 vehiclesNull-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 termExistence 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 equationPropagation 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 (2020). DOI: 10.1007/s10208-020-09445-0 Abstract: We analyze…
View More Propagation of one and two-dimensional discrete waves under finite difference approximationControllability 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 constraints