### Web: http://arxiv.org/abs/2206.11120

June 23, 2022, 1:11 a.m. | Lucas B&#xf6;ttcher, Thomas Asikis

Optimal control problems naturally arise in many scientific applications
where one wishes to steer a dynamical system from a certain initial state
$\mathbf{x}_0$ to a desired target state $\mathbf{x}^*$ in finite time $T$.
Recent advances in deep learning and neural network-based optimization have
contributed to the development of methods that can help solve control problems
involving high-dimensional dynamical systems. In particular, the framework of
neural ordinary differential equations (neural ODEs) provides an efficient
means to iteratively approximate continuous time control …

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