Uncertainty Quantification in Control Problems for Flocking Models

الملخص EN

The optimal control of flocking models with random inputs is investigated from a numerical point of view.

The effect of uncertainty in the interaction parameters is studied for a Cucker-Smale type model using a generalized polynomial chaos (gPC) approach.

Numerical evidence of threshold effects in the alignment dynamic due to the random parameters is given.

The use of a selective model predictive control permits steering of the system towards the desired state even in unstable regimes.