Uncertainty Quantification in Control Problems for Flocking Models

Figure 2

Error convergence for increasing number of polynomials in the gPC decomposition approximation. (a) Convergence of the mean error at two fixed times and . (b) Convergence of the variance error. In both cases we considered a random time-independent scattering , where the random variable is normally distributed . The system of ODEs is solved through a -order Runge-Kutta with .

(a)

(b)