Stabilization of switched interval systems using neural network technologies

Recieved: 06/10/2025

Accepted: 06/16/2025

Keywords: switched systems, observer, variable structure controller, interval uncertainty, linear matrix inequalities, static feedback, neural network

To cite this article

Atamas E.I., Krylov P.A., Dementeva (Mosolova) Yu.M., Fursov A.S. Stabilization of switched interval systems using neural network technologies. // Moscow University Journal. Series 15. Computational Mathematics and Cybernetics. 2025. N 4, p.3-12 https://doi.org/10.55959/MSU/0137–0782–15–2025–49–4–3–12.

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

Atamas E.I. (Lomonosov Moscow State University (MSU))
Krylov P.A. (Lomonosov Moscow State University (MSU))
Dementeva (Mosolova) Yu.M. (Lomonosov Moscow State University (MSU))
Fursov A.S. (Lomonosov Moscow State University (MSU))

Abstract

A detailed description of the implementation of an algorithm for constructing a variable-structure stabilizing controller for a switched interval linear system with slow switches inaccessible to observation is proposed. It is proposed to use a neural network as an observer of the active modes of a closed system. The simulation results of the constructed stabilization system are presented.