| Abstract: |
| We study the synthesis of optimal control policies for large-scale multi-agent systems. The optimal control design induces a stabilizing action via an optimal feedback mapping. We study a wide class of optimal feedback controller which can be obtained from dynamic programming techniques. In order to circumvent the dimensionality issues associated to the control of large-scale agent-based models, we follow a Boltzmann approach. We generate (sub)optimal controls signals for the kinetic limit of the multi-agent dynamics, by sampling of the optimal solution of the control problem associated to two-agent dynamics. Numerical experiments assess the performance of the proposed design. |
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