Date: Wed. November 25, 2020
Organized by: Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg
Title: Control and regularity for non-local transport equations

Speaker: Prof. Dr. Francesco Rossi
Affiliation: Università di Padova (Italy)

Abstract. This talk focuses on some control problems related to non-local transport equations, which arise in modeling several multi-agent systems (pedestrians, animals, opinions on a network…). I will first point out the specific difficulties for controlling such systems, at least in two directions:
– for controllability, the reachable set has a strange structure
– for optimal control, one needs some (intrinsic) regularity of the optimal control to ensure well-posedness of the solution.

In both cases, regularity of both the data and the control play a major role.
By presenting my joint works with B. Bonnet, M. Duprez, M. Morancey, I will show some solutions to such problems.

Recording/Video:

_

Don’t miss out our Upcoming events!

|| Subscribe to our FAU DCN-AvH newsletter

Tags:

Don't miss out our posts on Math & Research!

Transition Layers in Elliptic Equations By Maicon Sônego   Stable transition layers in an unbalanced bistable equation Consider the following semi-linear problem where are positive functions in ; is a positive parameter and We assume that the functions satisfy ; for all ; there is a […]
Randomized time-splitting in linear-quadratic optimal control By Daniël Veldman   Introduction Solving an optimal control problem for a large-scale dynamical system can be computationally demanding. This problem appears in numerous applications. One example is Model Predictive Control (MPC), which requires the solution of several optimal control […]
Felix Klein: A Legacy of Innovation in Mathematics and Education By Roberto Rodríguez del Río, Complutense University of Madrid | IES San Mateo, Madrid   Felix Christian Klein lived in a period of history of science in which Mathematics were involved in a process of transformation, […]
Our last Publications
[cris show="publications" persID="223281397,105092142,229344528,239343629,241149469,243434665,105514816,242263337,104776092,236754096,243266999,243266999" year="2020" type="beitrag_fachzeitschrift" sortby="updated" quotation="apa" items="5"]
© 2019-2021 Chair for Dynamics, Control and Numerics - Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg, Germany | Imprint | Contact