Construction of the controllability set for one second-order system with a state constraint

Recieved: 12/10/2022

Accepted: 02/10/2023

Published: 05/31/2023

Keywords: time optimal control, state constraint, linear system, controllability set

To cite this article

Samsonov S.P., Goncharova M.N. Construction of the controllability set for one second-order system with a state constraint. // Moscow University Journal. Series 15. Computational Mathematics and Cybernetics. 2023. N 2, p.5-11 https://doi.org/10.55959/MSU/0137–0782–15–2023–47–2–5–11.

This work is licensed under a Сreative Commons Atribiution - NonCommercial 4.0 International (CC BY-NC 4.0)

Samsonov S.P. (Lomonosov Moscow State University (MSU))
Goncharova M.N. (Yanka Kupala Grodno State University)

Abstract

The time optimal control problem with a state constraint investigates in the article. The object’s behavior is described by a system of second-order differential equations. The coefficient matrix for state variables has zero eigenvalues. The state constraint is linear. An admissible control is a piecewise continuous function that takes values from a given compact set. Sets of controllability to the origin are constructed for time intervals of various lengths.