Time-delay systems: an overview of some recent advances and open problems

Authors:
Jean-Pierre Richard
Affiliations:
Ecole Centrale de Lille, LAIL (CNRS UMR 8021), BP 48, 59651 Villeneuve d'Ascq, Cedex, France
Venue:
Automatica (Journal of IFAC)
Year:
2003

Citing 36
Cited 121

Sliding mode control in indefinite-dimensional systems

Automatica (Journal of IFAC)
On the weighted sensitivity minimization problem for delay systems

Systems & Control Letters
Bounds on the achievable accuracy in model reduction

Proceedings of NATO Advanced Research Workshop on Modelling, robustness and sensitivity reduction in control systems
Approximation of unstable infinite-dimensional systems using coprime factors

Systems & Control Letters
An observer-based compensator for distributed delays

Automatica (Journal of IFAC)
A stability analysis for a class of differential-delay equations having time-varying delay

Delay differential equations and dynamical systems
Approximation of the algebraic Riccati equation in the Hilbert space of Hilbert-Schmidt operators

SIAM Journal on Control and Optimization
Memoryless H∞ controller design for linear systems with delayed state and control

Automatica (Journal of IFAC)
Variable structure control of time-delay systems with a simulation study on stabilizing combustion in liquid propellant rocket motors

Automatica (Journal of IFAC)
The Disturbance Decoupling Problem for Systems Over a Ring

SIAM Journal on Control and Optimization
Analysis and Optimization of Feedback Control Algorithms for Data Transfers in High-Speed Networks

SIAM Journal on Control and Optimization
A Behavioral Approach To Delay-Differential Systems

SIAM Journal on Control and Optimization
Stability of perturbed systems with time-varying delays

Systems & Control Letters
${\cal H}_\infty$ Control and Estimation Problems with Delayed Measurements: State-Space Solutions

SIAM Journal on Control and Optimization
Robust observer-based H∞ controller design for linear uncertain time-delay systems

Automatica (Journal of IFAC)
Stability of nonlinear differential delay systems

Mathematics and Computers in Simulation - Special issue: delay systems
An effective algorithm for finite spectrum assignment of single-input systems with delays

Mathematics and Computers in Simulation - Special issue: delay systems
On linear systems with a fractional derivation: introductory theory and examples

Mathematics and Computers in Simulation - Special issue: delay systems
Stochastic analysis and control of real-time systems with random time delays

Automatica (Journal of IFAC)
Variable structure robust control of uncertain time-delay systems

Automatica (Journal of IFAC)
Shift Operator Induced Approximations of Delay Systems

SIAM Journal on Control and Optimization
Robust Control of Infinite Dimensional Systems: Frequency Domain Methods

Robust Control of Infinite Dimensional Systems: Frequency Domain Methods
Deterministic and Stochastic Time-Delay Systems

Deterministic and Stochastic Time-Delay Systems
Regular paper: Model matching for linear systems with delays and 2D systems

Automatica (Journal of IFAC)
Congestion control in high-speed communication networks using the Smith principle

Automatica (Journal of IFAC)
Technical Communique: Robust stabilization of uncertain input-delay systems by sliding mode control with delay compensation

Automatica (Journal of IFAC)
Observer-based H∞ controller design for state delayed linear systems

Automatica (Journal of IFAC)
Robust H∞ state feedback control for linear systems with state delay and parameter uncertainty

Automatica (Journal of IFAC)
Brief On the approximation of delay elements by feedback

Automatica (Journal of IFAC)
Formulas for Hankel singular values and vectors for a class of input delay systems

Automatica (Journal of IFAC)
Technical Communique: LMI-based robust H∞ control of uncertain linear jump systems with time-delays

Automatica (Journal of IFAC)
Brief LPV Systems with parameter-varying time delays: analysis and control

Automatica (Journal of IFAC)
Brief Generalized Popov theory applied to state-delayed systems

Automatica (Journal of IFAC)
A Razumikhin-type lemma for functional differential equations with application to adaptive control

Automatica (Journal of IFAC)
Technical Communique: Robust H∞ observer design of linear state delayed systems with parametric uncertainty: the discrete-time case

Automatica (Journal of IFAC)
Robust identification of continuous systems with dead-time from step responses

Automatica (Journal of IFAC)

Attraction Domains of Delay Systems: Construction by the Lyapunov Function Method

Automation and Remote Control
Solution operator approximations for characteristic roots of delay differential equations

Applied Numerical Mathematics - The third international conference on the numerical solutions of volterra and delay equations, May 2004, Tempe, AZ
Delay-dependent robust output-feedback control for time-delay uncertain systems

MIC'06 Proceedings of the 25th IASTED international conference on Modeling, indentification, and control
Teleoperation of mobile robots with time-varying delay

Robotica
Bilateral teleoperation through the Internet

Robotics and Autonomous Systems
Adaptive neural control of MIMO nonlinear state time-varying delay systems with unknown dead-zones and gain signs

Automatica (Journal of IFAC)
RFDF design for linear time-delay systems with unknown inputs and parameter uncertainties

International Journal of Systems Science
Parameter-dependent robust stability of uncertain time-delay systems

Journal of Computational and Applied Mathematics
Robust-stabilizing controller horizons on the basis of predictive model with truncated pulse transient function

Automation and Remote Control
Brief paper: On-line identification of SISO linear time-invariant delay systems from output measurements

Automatica (Journal of IFAC)
A new delay system approach to network-based control

Automatica (Journal of IFAC)
Stabilization of Linear Uncertain Delay Systems with Antisymmetric Stepwise Configurations

Journal of Dynamical and Control Systems
Brief paper: A new dead-time compensator to control stable and integrating processes with long dead-time

Automatica (Journal of IFAC)
Observer-based control for time-delayed systems

ROCOM'07 Proceedings of the 7th WSEAS International Conference on Robotics, Control & Manufacturing Technology
Technical communique: Stability analysis of neutral systems with distributed delays

Automatica (Journal of IFAC)
GUARANTEED COST CONTROL FOR A CLASS OF UNCERTAIN SWITCHED DELAY SYSTEMS: AN AVERAGE DWELL-TIME METHOD

Cybernetics and Systems
Iterative learning control for a class of nonlinear discrete-time systems with multiple input delays

International Journal of Systems Science
Optimal filtering for linear systems with state and multiple observation delays

International Journal of Systems Science
On stability of linear time-delay systems with multiple delays

International Journal of Systems Science
Brief paper: Delay-dependent stability for discrete systems with large delay sequence based on switching techniques

Automatica (Journal of IFAC)
Brief paper: Lyapunov tools for predictor feedbacks for delay systems: Inverse optimality and robustness to delay mismatch

Automatica (Journal of IFAC)
Technical communique: Improved ellipsoidal bound of reachable sets for time-delayed linear systems with disturbances

Automatica (Journal of IFAC)
A survey of linear matrix inequality techniques in stability analysis of delay systems

International Journal of Systems Science
H∞ filtering for discrete-time systems with time-varying delay

Signal Processing
Technical communique: Improved delay-dependent stability criteria for systems with a delay varying in a range

Automatica (Journal of IFAC)
Forwarding, backstepping, and finite spectrum assignment for time delay systems

Automatica (Journal of IFAC)
Brief paper: Exponential stability of linear distributed parameter systems with time-varying delays

Automatica (Journal of IFAC)
Delay-interval-dependent stability of recurrent neural networks with time-varying delay

Neurocomputing
Global stability of a class of Cohen-Grossberg neural networks with delays

International Journal of Intelligent Systems Technologies and Applications
Robust adaptive tracking controller design for non-affine non-linear systems with state time-varying delay and unknown dead-zone

International Journal of Intelligent Systems Technologies and Applications
Further results on stability and stabilisation of linear systems with state and input delays

International Journal of Systems Science
Brief paper: New delay-dependent stability criteria for systems with interval delay

Automatica (Journal of IFAC)
Brief paper: An H∞ approach to the controller design of AQM routers supporting TCP flows

Automatica (Journal of IFAC)
Parameters estimation of systems with delayed and structured entries

Automatica (Journal of IFAC)
A distributed controller approach for delay-independent stability of networked control systems

Automatica (Journal of IFAC)
Brief paper: Adaptive trajectory tracking despite unknown input delay and plant parameters

Automatica (Journal of IFAC)
Estimation of non-stationary delay for a linear discrete dynamic plant

Automation and Remote Control
Technical communique: New conditions for delay-derivative-dependent stability

Automatica (Journal of IFAC)
Solution operator approximations for characteristic roots of delay differential equations

Applied Numerical Mathematics
Robust adaptive controller design for nonlinear time-delay systems via T-S fuzzy approach

IEEE Transactions on Fuzzy Systems
Robust design of a class of time-delay iterative learning control systems with initial shifts

IEEE Transactions on Circuits and Systems Part I: Regular Papers - Special section on 2008 custom integrated circuits conference (CICC 2008)
Global asymptotic stability and robust stability of a class of Cohen-Grossberg neural networks with mixed delays

IEEE Transactions on Circuits and Systems Part I: Regular Papers
Adaptive neural control for a class of nonlinear systems with uncertain hysteresis inputs and time-varying state delays

IEEE Transactions on Neural Networks
Delay-dependent robust H∞ control of uncertain linear systems with time-varying delays

Computers & Mathematics with Applications
L2-stabilizability conditions for a class of singularly perturbed delayed systems

CA '07 Proceedings of the Ninth IASTED International Conference on Control and Applications
Control of robotic manipulators with input/output delays

ACC'09 Proceedings of the 2009 conference on American Control Conference
Predictor-like feedback for actuator and sensor dynamics governed by diffusion PDEs

ACC'09 Proceedings of the 2009 conference on American Control Conference
Adaptive tracking controller for systems with unknown long delay and unknown parameters in the plant

ACC'09 Proceedings of the 2009 conference on American Control Conference
Switched system based approach to analysis and synthesis of discrete-time linear systems with time-varying state delay

ACC'09 Proceedings of the 2009 conference on American Control Conference
Compensating a string PDE in the actuation or sensing path of an unstable ODE

ACC'09 Proceedings of the 2009 conference on American Control Conference
Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay

ACC'09 Proceedings of the 2009 conference on American Control Conference
Delay-dependent robust model predictive control for time-delay systems with input constraints

ACC'09 Proceedings of the 2009 conference on American Control Conference
On stability of time delay Hamiltonian systems

ACC'09 Proceedings of the 2009 conference on American Control Conference
Adaptive posicast controller for time-delay systems with relative degree n*≤2

Automatica (Journal of IFAC)
Analysis and control of discrete-time piecewise linear time-delay systems

CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Fuzzy immune control and new smith predictor for wireless networked control systems

CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Robust sliding mode control for nonlinear uncertain time-delay systems based on disturbance observer

CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Delay-distribution-dependent robust H∞control for discrete-time systems with stochastic delays

CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Zeros in linear systems with time delay in state

International Journal of Applied Mathematics and Computer Science - Special Section: Robot Control Theory Cezary Zielinski
Control scheme including prediction and augmented reality for teleoperation of mobile robots

Robotica
Disturbance observer based repetitive controller for time-delay systems

ETFA'09 Proceedings of the 14th IEEE international conference on Emerging technologies & factory automation
Recursive predictor design for state and output feedback controllers for linear time delay systems

Automatica (Journal of IFAC)
Technical communique: Reachable set bounding for delayed systems with polytopic uncertainties: The maximal Lyapunov-Krasovskii functional approach

Automatica (Journal of IFAC)
Brief paper: Sliding mode control for time-varying delayed systems based on a reduced-order observer

Automatica (Journal of IFAC)
Delay-dependent H∞ filtering for discrete-time singular Markovian jump systems with time-varying delay and partially unknown transition probabilities

Signal Processing
On the stability of the stochastic parabolic Itô equation with delay and Markovian jump

Computers & Mathematics with Applications
Brief paper: Stabilization of linear strict-feedback systems with delayed integrators

Automatica (Journal of IFAC)
Joint state filtering and parameter estimation for linear stochastic time-delay systems

Signal Processing
Wavelet-based method for stability analysis of vibration control systems with multiple delays

Computational Mechanics
Balanced truncation for time-delay systems via approximate Gramians

Proceedings of the 16th Asia and South Pacific Design Automation Conference
On novel exponential stability criterion for systems with time-varying delays

International Journal of Systems, Control and Communications
Input-to-state stability of impulsive and switching hybrid systems with time-delay

Automatica (Journal of IFAC)
Argument principle based stability conditions of a retarded quasipolynomial with two delays

ICS'10 Proceedings of the 14th WSEAS international conference on Systems: part of the 14th WSEAS CSCC multiconference - Volume I
Adaptive neural control for uncertain stochastic nonlinear strict-feedback systems with time-varying delays: A Razumikhin functional method

Neurocomputing
On the reachable set bounding of uncertain dynamic systems with time-varying delays and disturbances

Information Sciences: an International Journal
Decentralized adaptive neural control of nonlinear interconnected large-scale systems with unknown time delays and input saturation

Neurocomputing
A delay-dependent approach to robust generalized H2 filtering for uncertain continuous-time systems with interval delay

Signal Processing
Analysis of a simple quasipolynomial of degree one

ACMOS'11 Proceedings of the 13th WSEAS international conference on Automatic control, modelling & simulation
Spectrum of a class of delay differential equations and its solution expansion

WSEAS Transactions on Mathematics
Brief paper: On the conservatism of the sum-of-squares method for analysis of time-delayed systems

Automatica (Journal of IFAC)
Predictor-based control for an uncertain Euler-Lagrange system with input delay

Automatica (Journal of IFAC)
Root locus analysis of a retarded quasipolynomial

WSEAS Transactions on Systems and Control
Brief paper: Output-feedback stabilization for stochastic high-order nonlinear systems with time-varying delay

Automatica (Journal of IFAC)
Adaptive neural control of nonlinear MIMO systems with unknown time delays

Neurocomputing
Rational approximations for time-delay systems: case studies

MACMESE'11 Proceedings of the 13th WSEAS international conference on Mathematical and computational methods in science and engineering
Peak-to-peak gain minimisation of uncertain discrete-time systems with variable delays

International Journal of Systems, Control and Communications
Global and Semi-Global Stabilization of Linear Systems With Multiple Delays and Saturations in the Input

SIAM Journal on Control and Optimization
Stability of Neutral Systems with Commensurate Delays and Poles Asymptotic to the Imaginary Axis

SIAM Journal on Control and Optimization
Two-sided bounds for the largest Lyapunov exponent and exponential stability criteria for nonlinear systems with arbitrary delays

Automation and Remote Control
Teleoperation of a mobile robot with time-varying delay and force feedback

Robotica
Robust sliding mode control of multivariable time-delay systems

ACMOS'09 Proceedings of the 11th WSEAS international conference on Automatic control, modelling and simulation
Stabilization of linear systems with distributed input delay and input saturation

Automatica (Journal of IFAC)
Stability and performance of first-order linear time-delay feedback systems: an eigenvalue approach

Journal of Control Science and Engineering
Technical Communique: A closed-form optimal control for linear systems with equal state and input delays

Automatica (Journal of IFAC)
Delay-dependent stabilization of linear systems with time-varying state and input delays

Automatica (Journal of IFAC)
Kalman filtering for multiple time-delay systems

Automatica (Journal of IFAC)
Stabilization of discrete-time Markovian jump linear systems via time-delayed controllers

Automatica (Journal of IFAC)
Linearized oscillation theory for a nonlinear equation with a distributed delay

Mathematical and Computer Modelling: An International Journal
Exponential stability and spectral analysis of the inverted pendulum system under two delayed position feedbacks

Journal of Dynamical and Control Systems
Sliding mode control in the presence of input delay: A singular perturbation approach

Automatica (Journal of IFAC)
Adaptive control scheme for uncertain time-delay systems

Automatica (Journal of IFAC)
Modeling and simulation of time-varying delays

Proceedings of the 2012 Symposium on Theory of Modeling and Simulation - DEVS Integrative M&S Symposium
Truncated predictor feedback for linear systems with long time-varying input delays

Automatica (Journal of IFAC)
The stochastic maximum principle for optimal control problems of delay systems involving continuous and impulse controls

Automatica (Journal of IFAC)
Further results on output feedback stabilization for stochastic high-order nonlinear systems with time-varying delay

Automatica (Journal of IFAC)
A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems

Automatica (Journal of IFAC)
Modified Smith predictor with a robust disturbance reduction scheme for linear systems with small time delays

Expert Systems: The Journal of Knowledge Engineering
New results on discrete-time delay systems identification

International Journal of Automation and Computing
A new perspective on the robustness of Markov jump linear systems

Automatica (Journal of IFAC)
A dynamic output feedback controller for NCS based on delay estimates

Automatica (Journal of IFAC)
Saturated control of an uncertain nonlinear system with input delay

Automatica (Journal of IFAC)
Identification of the delay parameter for nonlinear time-delay systems with unknown inputs

Automatica (Journal of IFAC)
Control of semi-autonomous teleoperation system with time delays

Automatica (Journal of IFAC)
Robustness of nonlinear predictor feedback laws to time- and state-dependent delay perturbations

Automatica (Journal of IFAC)
A computer algebra system for analysis and control of nonlinear time-delay systems

Advances in Engineering Software
Output stabilization of time-varying input delay systems using interval observation technique

Automatica (Journal of IFAC)
A new sliding function for discrete predictive sliding mode control of time delay systems

International Journal of Automation and Computing
On stability delay bounds of simple input-delayed linear and non-linear systems: Computational results

International Journal of Automation and Computing
Stabilization of linear system with input saturation and unknown constant delays

Automatica (Journal of IFAC)
Original article: Observations on evolutionary models with (or without) time lag, and on problematical paradigms

Mathematics and Computers in Simulation
Repetitive control of servo systems with time delays

Robotics and Autonomous Systems

Quantified Score

Hi-index	22.24

Visualization

Abstract

After presenting some motivations for the study of time-delay system, this paper recalls modifications (models, stability, structure) arising from the presence of the delay phenomenon. A brief overview of some control approaches is then provided, the sliding mode and time-delay controls in particular. Lastly, some open problems are discussed: the constructive use of the delayed inputs, the digital implementation of distributed delays, the control via the delay, and the handling of information related to the delay value.