Uncertainty Quantification in Control Problems for Flocking Models

Figure 6

Solution of the uniform interaction case with time-dependent random parameter distributed accordingly to a normal distribution , with a time-dependent standard deviation , and . (a) We see the threshold for different values of ; that is, for the system diverges. (b) Solution of the constrained model with ; observe that we are able to steer the system to the desired velocity , that is, the initial mean velocity of the system, using the selective control described in (57).

(a)

(b)