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math.OC2025
Singular extremals of optimal control problems with cost
Andrei Agrachev, Ivan Beschastnyi, Michele Motta
We study the optimal control problem for a control-affine system, where we want to minimize the norm of the control. First, we show how Pontryagin Maximum Principle (PMP) app…
math.DS2025
Asymptotics of motion planning complexity for control-affine systems
Michele Motta, Dario Prandi
In this paper, we study the complexity of the approximation of nonadmissible curves for nonlinear control-affine systems satisfying the strong H{ö}rmander condition. Focusing on tu…