Purpose. To substantiate changes in stress-strain state of rock mass in the process of long-
pillar mining with the help of double-unit longwalls while evaluating stress of a mine field in …

This paper deals with an isoperimetric optimal control problem for nonlinear control-affine
systems with periodic boundary conditions. As it was shown previously, the candidates for …

Purpose. The solution of the problem for determining a specified vertical displacement of
supports in a rotating unit, taking into account the yielding in the crosscut of the supporting …

Results of evaluating the suitability of certain sections of Western Donbas coal seams,
based predominately on properties of coal material, for their further experimental …

Linear hybrid mechanical systems with switchings of force fields are studied. Some sufficient
conditions are brought forward for the switched systems being asymptotically stable for any …

The modern dynamical systems of various physical natures, such as natural, social,
economic, and technical ones, are complexes of various subsystems. They are connected …

В современной прикладной математике интенсивно развиваются спектральные и
алгебраические методы исследования динамических систем, основанные на …

A nonlinear dynamic system with several degrees of freedom, which is represented by a
system of differential equations with polynomial structure, is considered. The system …

In this paper, we propose a new control design scheme for solving the obstacle avoidance
problem for nonlinear driftless control-affine systems. The class of systems under …

The paper deals with the extremum seeking problem for a class of cost functions depending
only on a part of state variables of a control system. This problem is related to the concept of …