16 citations · 33 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
Model Reduction of Converter-Dominated Power Systems by Singular Perturbation Theory
Umberto Biccari, Noboru Sakamoto, Eneko Unamuno +3
The increasing integration of power electronic devices is driving the development of more advanced tools and methods for the modeling, analysis, and control of modern power systems…
Controllability of the one-dimensional fractional heat equation under positivity constraints
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
In this paper, we analyze the controllability properties under positivity constraints on the control or the state of a one-dimensional heat equation involving the fractional Laplac…
Dynamics and control for multi-agent networked systems: a finite difference approach
Umberto Biccari, Dongnam Ko, Enrique Zuazua
We analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic diffusive equation…
Null-controllability properties of a fractional wave equation with a memory term
Umberto Biccari, Mahamadi Warma
We study the null-controllability properties of a one-dimensional wave equation with memory associated with the fractional Laplace operator. The goal is not only to drive the displ…