83 citations · 123 across the 13 of their papers we have counts for
16 papers
Strict Lyapunov functions and energy decay in Hamiltonian chains with degenerate damping
Andrey Dymov, Lev Lokutsievskiy, Andrey Sarychev
We consider a Hamiltonian chain of rotators (in general nonlinear) in which the first rotator is damped. Being motivated by problems of nonequilibrium statistical mechanics of crys…
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 ,…
Surface shear waves in a half-plane with depth-variant structure
Andrey Sarychev, Alexander Shuvalov, Marco Spadini
We consider the propagation of surface shear waves in a half-plane, whose shear modulus and density depend continuously on the depth coordinate . The problem amoun…
On the stochastic Lie algebra
Manuel Guerra, Andrey Sarychev
We study the structure of the Lie algebra corresponding to the so-called stochastic Lie group . We obtain the Levi decomposit…
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…