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Figure 2 | Journal of Mathematics in Industry

Figure 2

From: Space mapping-based receding horizon control for stochastic interacting particle systems: dogs herding sheep

Figure 2

Up: We show the trajectories for the centre of mass of the crowd employing the optimal deterministic controls. The accuracy of the deterministic controls deteriorates as the stochastic influence increases. For \(\sigma =0.03\) the stochastic influence starts to superimpose the crowd behaviour. Down: The trajectories of the centre of mass of the crowd resuting from the space mapping procedure. We see that the trajectory corresponding to \(\sigma = 0.02\) was improved

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