Stabilization criteria for continuous linear time-invariant systems with constant lags
type: Item
instance of: scholarly article
title: Stabilization criteria for continuous linear time-invariant systems with constant lags
zbMATH Open document ID: 1099.93040
DOI: 10.1155/DDNS/2006/87062
published in: Discrete Dynamics in Nature and Society
publication date: 2006-11-07T00:00:00Z
full work available at URL: https://eudml.org/doc/126658
review text: Summary: Some criteria for asymptotic stability of linear and time-invariant systems with constant point delays are derived. Such criteria are concerned with the properties of robust stability related to two relevant auxiliary delay-free systems which are built by deleting the delayed dynamics or considering that the delay is zero. Explicit asymptotic stability results, easy to test, are given for both the unforced and closed-loop systems when the stabilizing controller for one of the auxiliary delay-free systems is used for the current time-delay system. The proposed techniques include frequency domain analysis techniques including the use of \(H_\infty\) norms.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93D09
zbMATH DE Number: 5071107
author: M. De la Sen
MaRDI profile type: Publication
cites work: α-Stability of systems governed by a functional differential equation— extension of results concerning linear delay systems
cites work: On stability independent of delay for linear systems
cites work: On computing the maximal delay intervals for stability of linear delay systems
cites work: The stability of some feedback systems with delay
cites work: Remarks concerning the asymptotic stability and stabilization of linear delay differential equations
cites work: Q4283303
cites work: On some structures of stabilizing control laws for linear and time-invariant systems with bounded point delays and unmeasurable states
cites work: Preserving positive realness through discretization
cites work: Robust control for unstructured perturbations. An introduction
cites work: Discretized LMI set in the stability problem of linear uncertain time-delay systems
cites work: Stability in linear delay equations
cites work: Q3902876
cites work: On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations
cites work: Q3126966
cites work: Q4273733
cites work: Independent of delay stability criteria for uncertain linear state space models
cites work: Q5661059
cites work: Q4325552
cites work: Stability robustness bounds for linear systems with multiple time-varying delayed perturbations
cites work: Stability criteria for linear time-invariant systems with multiple delays
Wikidata QID: Q57675548
description: scientific article; zbMATH DE number 5071107