Stabilization of linear distributed control systems with unbounded delay
type: Item
instance of: scholarly article
title: Stabilization of linear distributed control systems with unbounded delay
zbMATH Open document ID: 1074.93024
author: Hernán R. Henríquez
author: Eduardo Hernández M.
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-06-10T00:00:00Z
full work available at URL: http://hdl.handle.net/10533/176439
review text: The authors study the stabilization of control systems modelled by an abstract retarded functional differential equation with infinite delay. The results reported in the paper extend those given by the first author in [Syst. Control Lett. 44, No. 1, 35--43 (2001; Zbl 0986.93057)] for the finite delay case. It is shown that if the poles of the controlled system located in the right half complex plane are finite and the translation semigroup is uniformly stable, then the stabilizing problem can be reduced to the stabilizing one for a finite-dimensional system. The equations under consideration model problems such as heat conduction in materials with memory or population dynamics for spatially distributed populations. An ample bibliography contains 51 items.
reviewed by: Wiesław Kotarski
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93C25
zbMATH DE Number: 2174942
zbMATH Keywords: stabilization of control systems
zbMATH Keywords: retarded functional differential equations
zbMATH Keywords: semigroup of operators
zbMATH Keywords: spectral properties of operators
zbMATH Keywords: infinite delay
zbMATH Keywords: translation semigroup
zbMATH Keywords: heat conduction
zbMATH Keywords: materials with memory
zbMATH Keywords: population dynamics
MaRDI profile type: Publication
OpenAlex ID: W2035010826
cites work: Local existence and stability for some partial functional-differential equations with infinite delay
cites work: Existence of a periodic solution for some partial functional differential equations with infinite delay
cites work: An observer theory for time delay systems
cites work: On stability independent of delay for linear systems
cites work: Stabilization of time-delay systems containing saturating actuators
cites work: Q3791019
cites work: Remarks concerning the asymptotic stability and stabilization of linear delay differential equations
cites work: Q3835976
cites work: Regulation of linear systems over rings by dynamic output feedback
cites work: Regulation of split linear systems over rings: Coefficient-assignment and observers
cites work: One-Parameter Semigroups for Linear Evolution Equations
cites work: Delayless observers for systems with delay
cites work: Feedback stabilization of linear autonomous time lag systems
cites work: Q4397001
cites work: Q4163814
cites work: Functional differential equations
cites work: Introduction to functional differential equations
cites work: Q5582663
cites work: Q4276427
cites work: Q4313423
cites work: Stabilization of hereditary distributed parameter control systems
cites work: Observer theory for delayed differential equations
cites work: Functional differential equations with infinite delay
cites work: A variation-of-constants formula for abstract functional differential equations in the phase space
cites work: On the relationship between zero criteria for two-variable polynomials and asymptotic stability of delay differential equations
cites work: Linear systems with commensurate time delays: stability and stabilization independent of delay
cites work: Stabilization of time-delay systems using finite-dimensional compensators
cites work: Proper stable Bezout factorizations and feedback control of linear time-delay systems†
cites work: Observer for linear feedback control of systems with distributed delays in controls and outputs
cites work: Q4229393
cites work: Necessary and sufficient conditions for delay-independent stability of linear autonomous systems
cites work: Finite spectrum assignment problem for systems with delays
cites work: Stabilizability, detectability, and spectrum assignment for linear autonomous systems with general time delays
cites work: Observers for linear systems
cites work: Q4081078
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Observers and duality between observation and state feedback for time delay systems
cites work: Q5612063
cites work: A Direct Approach to Compensator Design for Distributed Parameter Systems
cites work: Q3791519
cites work: Q4824289
cites work: Finite spectrum assignment for multivariable delay systems in the frequency domain
cites work: Finite spectrum assignment and observer for multivariable systems with commensurate delays
cites work: An observer for linear feedback control laws of multivariable systems with multiple delays in controls and outputs
cites work: Finite spectrum assignment problem for systems with multiple commensurate delays in state variables
cites work: Finite spectrum assignment problem of systems with multiple commensurate delays in states and control
cites work: Geometric state-space theory in linear multivariable control: A status report
cites work: Theory and applications of partial functional differential equations
DOI: 10.1016/J.JMAA.2004.10.036
Recommended article: Stabilization of uncertain linear distributed delay systems with dissipativity constraints
Recommended article: Stabilization of distributed control systems with delay
Recommended article: An unbounded stabilization problem for distributed linear systems

Stabilization of linear distributed control systems with unbounded delay (Recommended article)
Recommended article: Stabilization of linear systems with distributed input delay and input saturation
Similarity Score: 0.94157416
Recommender Run: Recommender Run 2

Stabilization of linear distributed control systems with unbounded delay (Recommended article)
Recommended article: Q4295637
Similarity Score: 0.9376889
Recommender Run: Recommender Run 2

Stabilization of linear distributed control systems with unbounded delay (Recommended article)
Recommended article: Stabilization of linear autonomous systems of differential equations with distributed delay
Similarity Score: 0.93580586
Recommender Run: Recommender Run 2

Stabilization of linear distributed control systems with unbounded delay (Recommended article)
Recommended article: Stabilization of discrete-time linear systems with infinite distributed input delays
Similarity Score: 0.9351753
Recommender Run: Recommender Run 2

Stabilization of linear distributed control systems with unbounded delay (Recommended article)
Recommended article: Stabilization of linear systems with distributed infinite input delays: a low gain approach
Similarity Score: 0.92949307
Recommender Run: Recommender Run 2

Stabilization of linear distributed control systems with unbounded delay (Recommended article)
Recommended article: Robust stabilization of uncertain nonlinear systems with infinite distributed input delays
Similarity Score: 0.9290868
Recommender Run: Recommender Run 2

Stabilization of linear distributed control systems with unbounded delay (Recommended article)
Recommended article: Q3676021
Similarity Score: 0.9255343
Recommender Run: Recommender Run 2