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math.OC2024
On the Local Controllability of a Class of Quadratic Systems
Moise R. Mouyebe, Anthony M. Bloch
The local controllability of a rich class of affine nonlinear control systems with nonhomogeneous quadratic drift and constant control vector fields is analyzed. The interest in th…
math.OC2024
Symmetric Discrete Optimal Control and Deep Learning
Anthony M. Bloch, Peter E. Crouch, Tudor S. Ratiu
We analyze discrete optimal control problems and their connection with back propagation and deep learning. We consider in particular the symmetric representation of the discrete ri…