13 citations · 30 across the 19 of their papers we have counts for
3 papers · 2 filters
Shape turnpike for linear parabolic PDE models
Gontran Lance, Emmanuel Trélat, Enrique Zuazua
We introduce and study the turnpike property for time-varying shapes, within the viewpoint of optimal control. We focus here on second-order linear parabolic equations where the sh…
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…