Cheap controls for disturbances compensation in hyperbolic delayed systems
type: Item
instance of: scholarly article
title: Cheap controls for disturbances compensation in hyperbolic delayed systems
zbMATH Open document ID: 1482.93275
DOI: 10.1504/IJDSDE.2020.112758
author: Salma Souhaile
author: L. Afifi
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2022-03-14T00:00:00Z
review text: Summary: This work applies to the remediability problem for a class of hyperbolic perturbed systems with constant or time-varying delays. With a convenient choice of input operator (control) and through the observation (output), we show how to remedy the effect of any disturbance \(f\) on the considered system. We give the main properties and characterisations of the concept according to the delay. Then, under the appropriate hypothesis, we prove how to find the optimal control ensures the compensation of a disturbance using the corresponding observation only. The usual case of actuators and sensors is examined. An application and numerical results for a one-dimensional wave equation with delay are also presented.
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 7488856
zbMATH Keywords: hyperbolic systems
zbMATH Keywords: disturbance
zbMATH Keywords: control
zbMATH Keywords: observation
zbMATH Keywords: delay
zbMATH Keywords: remediability
MaRDI profile type: Publication
full work available at URL: ijdsde.2020.112758
OpenAlex ID: W4236362131
description: scientific article; zbMATH DE number 7488856