Stabilization of two-dimensional linear systems by time-delay feedback controls
type: Item
instance of: scholarly article
title: Stabilization of two-dimensional linear systems by time-delay feedback controls
zbMATH Open document ID: 0843.93058
author: Bo Hu
published in: Differential and Integral Equations
publication date: 1996-02-13T00:00:00Z
review text: The author considers the action of a delayed feedback control (1) \(u(t)= Kx (t- \tau)\) on finite-dimensional, controllable, single input linear systems (2) \(\dot x= Ax+ Bu\). The stability analysis is reduced to the study of the roots of a transcendental polynomial. In the two-dimensional case, the author shows that (2) is stabilized by (1) if and only if \(\tau\) is not larger than some upper bound. Such a bound depends on the signs of the coefficients of the characteristic polynomial of \(A\) and they are explicitly computed.
reviewed by: Andrea Bacciotti
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 844437
zbMATH Keywords: stabilization
zbMATH Keywords: delay
zbMATH Keywords: delayed feedback
zbMATH Keywords: linear systems
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 844437