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20162022
most citedExistence and cost of boundary controls for a degenerate/singular parabolic equation

16 citations · 33 across the 13 of their papers we have counts for

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6 papers · 1 filter

math.OC2022

Controllability and Positivity Constraints in Population Dynamics with age, size Structuring and Diffusion

Yacouba Simpore, Umberto Biccari

In this article, we consider the infinite dimensional linear control system describing the Population Models Structured by Age, Size, and Spatial Position. The control is localized…

math.OC20221 cited

Null Controllability for a Degenerate Structured Population Model

Yacouba Simporé, Yassine El gantouh, Umberto Biccari

In this paper, we consider the infinite dimensional linear control system describing population models structured by age, size, and spatial position. The diffusion coefficient is d…

math.OC2021

Multilevel control by duality

Umberto Biccari, Enrique Zuazua

We discuss the multilevel control problem for linear dynamical systems, consisting in designing a piece-wise constant control function taking values in a finite-dimensional set. In…

math.OC20211 cited

Optimal control of linear non-local parabolic problems with an integral kernel

Umberto Biccari, Víctor Hernández-Santamaría, Loic Louison +1

We consider a linear non-local heat equation in a bounded domain , , with Dirichlet boundary conditions, where the non-locality is given by the prese…

math.OC2021

Multilevel Selective Harmonic Modulation via Optimal Control

Umberto Biccari, Carlos Esteve-Yagüe, Deyviss Jesús Oroya-Villalta

We consider the Selective Harmonic Modulation (SHM) problem, consisting in the design of a staircase control signal with some prescribed frequency components. In this work, we prop…

math.OC2019

Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation

Harbir Antil, Umberto Biccari, Rodrigo Ponce +2

We study the controllability to trajectories, under positivity constraints on the control or the state, of a one-dimensional heat equation involving the fractional Laplace operator…