This article is cited in 3 papers

Applied mathematics

Solution of a local boundary problem for a non-linear non-stationary system in the class of discrete controls

A. N. Kvitko, N. N. Litvinov

St Petersburg State University, 7–9, Universitetskaya nab., St Petersburg, 199034, Russian Federation

Abstract: This article proposes an algorithm of construction for the discrete controlling function which is restricted by a norm and provides transition for the wide class of the systems of non-stationary nonlinear ordinary differential equations from the initial state to the setting final state. A constructive sufficient condition that provides this transition is obtained. Efficiency of the method is demonstrated by the solution of the robot-manipulator control problem and its numerical modeling.

Keywords: discrete control, non-linear non-stationary system, stabilization, boundary conditions.

UDC: 517.977

MSC: 34H05, 34G20, 34K10

Received: April 13, 2021
Accepted: February 1, 2022

DOI: 10.21638/11701/spbu10.2022.102