83 citations · 123 across the 13 of their papers we have counts for
11 papers · 1 filter
Control on the Manifolds of Mappings with a View to the Deep Learning
Andrei Agrachev, Andrey Sarychev
Deep learning of the Artificial Neural Networks (ANN) can be treated as a particular class of interpolation problems. The goal is to find a neural network whose input-output map ap…
Control in the spaces of ensembles of points
Andrei Agrachev, Andrey Sarychev
We study the controlled dynamics of the {\it ensembles of points} of a Riemannian manifold . Parameterized ensemble of points of is the image of a continuous map ,…
Ensemble controllability by Lie algebraic methods
A. Agrachev, Yu. Baryshnikov, A. Sarychev
We study possibilities to control an ensemble (a parameterized family) of nonlinear control systems by a single parameter-independent control. Proceeding by Lie algebraic methods w…
Cyclic Vectors of Associative Matrix Algebras and Reachability Criteria for Linear and Nonlinear Control Systems
Yuliy Baryshnikov, Andrey Sarychev
Motivated by the controllability/reachability problems for switched linear control systems and some classes of nonlinear (mechanical) control systems we address a related problem o…
Fre'chet Generalized Trajectories and Minimizers for Variational Problems of Low Coercivity
Manuel Guerra, Andrey Sarychev
We address consecutively two problems. First we introduce a class of so called Fre'chet generalized controls for a multi-input control-affine system with non-commuting controlled v…
Controllability of the cubic Schroedinger equation via a low-dimensional source term
Andrey Sarychev
We study controllability of -dimensional defocusing cubic Schroedinger equation under periodic boundary conditions. The control is applied additively, via a source term, which i…