13 citations · 30 across the 19 of their papers we have counts for
8 papers · 1 filter
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
Domènec Ruiz-Balet, Enrique Zuazua
Dynamic phenomena in social and biological sciences can often be modeled by employing reaction-diffusion equations. When addressing the control of these modes, from a mathematical…
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…
Asymptotic behavior and control of a "guidance by repulsion" model
Dongnam Ko, Enrique Zuazua
We model and analyze a herding problem, where the drivers try to steer the evaders' trajectories while the evaders always move away from the drivers. This problem is motivated by t…
The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term
Shi Jin, Yuhua Zhu, Enrique Zuazua
We consider the Vlasov-Fokker-Planck equation with random electric field where the random field is parametrized by countably many infinite random variables due to uncertainty. At t…
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…