Giacomo Albi (TU Munich): Kinetic Modeling and Control of Self-Organizing Systems
Mittwoch, 03.02.2016 15:00 im Raum SRZ 205
Abstract: In this talk I will review some results on the mathematical modeling and
control of social dynamics, like herding phenomena, crowd behaviors, traffic and opin-
ion formation. In particular for an evacuation problem, I will consider the case where
few controlled agents, possibly not recognizable by the multitude, want to enforce the
emergence of a desired trajectory.
In order to reduce the high complexity of these type problems, I will propose a gen-
eral framework based on the approximation of the microscopic dynamic through a
Boltzmann-like equation, showing that under a proper scaling this approach is equivalent to the mean-field description of the original model.
Thereafter, I will present a set of fast algorithms, based on the simulation of the binary
interactions of the Boltzmann equation, which allow to solve efficiently the control
problem for the mean-field dynamic. Several numerical simulations will show the efficacy
of the proposed strategies.