Feedback control of time-delay systems with bounded control and state
type: Item
instance of: scholarly article
title: Feedback control of time-delay systems with bounded control and state
zbMATH Open document ID: 0918.93040
DOI: 10.1155/S1024123X95000081
published in: Mathematical Problems in Engineering
publication date: 1999-05-02T00:00:00Z
full work available at URL: https://eudml.org/doc/48200
review text: Summary: This paper is concerned with the problem of stabilizing linear time-delay systems under state and control linear constraints. For this, necessary and sufficient conditions for a given non-symmetric polyhedral set to be positively invariant are obtained. Then existence conditions for a linear state feedback control law respecting the constraints are established, and a procedure is given in order to calculate such a controller. The paper restricts the focus to memoryless controlled systems but the results can be applied to cases of delayed controlled systems. An example is given.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 1282736
zbMATH Keywords: stabilization
zbMATH Keywords: positive invariance of polyhedral sets
zbMATH Keywords: linear time-delay systems
zbMATH Keywords: linear constraints
author: M. Dambrine
author: Jean-Pierre Richard
author: Pierre Borne
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1282736