arXiv subjects

Andrey V. Sarychev

Publications and source records attributed to Andrey V. Sarychev.

2 recordsLinked to original sources

arXiv2009

Global Controllability of Multidimensional Rigid Body by Few Torques

We study global controllability of 'rotating' multidimensional rigid body (MRB) controlled by application of few torques. Study by methods of geometric control requires analysis of algebraic structure introduced by the quadratic term of Euler-Frahm equation. We discuss problems, which arise in the course of this analysis, and establish several global controllability criteria for damped and non damped cases.

math.OC↗

arXiv2007

Solid Controllability in Fluid Dynamics

We survey results of recent activity towards studying controllability and accessibility issues for equations of dynamics of incompressible fluids controlled by low-dimensional or, degenerate, forcing. New results concerning controllability of Navier-Stokes/Euler systems on two-dimensional sphere and on a generic two-dimensional domain are represented.

math.OC↗