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Bibliographic Details
Main Authors: Chertovskih, Roman, Pogodaev, Nikolay, Staritsyn, Maxim, Aguiar, A. Pedro
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.13298
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Table of Contents:
  • We present an approach to solving unconstrained nonlinear optimal control problems for a broad class of dynamical systems. This approach involves lifting the nonlinear problem to a linear ``super-problem'' on a dual Banach space, followed by a non-standard ``exact'' variational analysis, -- culminating in a descent method that achieves rapid convergence with minimal iterations. We investigate the applicability of this framework to mean-field control and discuss its perspectives for the analysis of information propagation in self-interacting neural networks.