Decay function estimation for linear time delay systems via the Lambert W function
type: Item
instance of: scholarly article
title: Decay function estimation for linear time delay systems via the Lambert W function
zbMATH Open document ID: 1428.34100
DOI: 10.1177/1077546311408168
author: Shiming Duan
author: Jun Ni
author: A. Galip Ulsoy
published in: Journal of Vibration and Control
publication date: 2020-01-15T00:00:00Z
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7151106
zbMATH Keywords: \(\alpha\) stability
zbMATH Keywords: decay function estimation
zbMATH Keywords: exponential decay rate
zbMATH Keywords: Lambert W function
zbMATH Keywords: time delay systems
describes a project that uses: DDE-BIFTOOL
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1177/1077546311408168
OpenAlex ID: W2102585624
cites work: Differential-difference equations
cites work: Q4671207
cites work: α-Stability and robustness of large-scale interconnected systems
cites work: Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations
cites work: Delay-Independent Minimum Dwell Time for Exponential Stability of Uncertain Switched Delay Systems
cites work: Delay dynamical systems and applications to nonlinear machine-tool chatter.
cites work: Applications of Sturm sequences to bifurcation analysis of delay differential equation models
cites work: Introduction to functional differential equations
cites work: On an estimate of the decay rate for applications of Razumikhin-type theorems
cites work: Stability chart for the delayed Mathieu equation
cites work: Full Characterization of Act-and-wait Control for First-order Unstable Lag Processes
cites work: Control Lyapunov-Razumikhin functions and robust stabilization of time delay systems
cites work: The Lambert \(W\) function and the spectrum of some multidimensional time-delay systems
cites work: On \(\alpha \)-stability criteria of linear systems with multiple time delays
cites work: Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations
cites work: Output-feedback \(\mathcal H_\infty\) control of systems over communication networks using a deterministic switching system approach
cites work: Stability of a class of linear switching systems with time delay
cites work: Delay independent stability conditions and decay estimates for time-varying functional differential equations
cites work: Pseudospectra and stability radii for analytic matrix functions with application to time-delay systems
cites work: Exponential estimates for retarded time-delay systems: an LMI approach
cites work: Stability of x(t)=Ax(t)+Bx(t- tau )
cites work: On an estimate of the decay rate for stable linear delay systems
cites work: Control in an Information Rich World
cites work: Robust exponential stability of uncertain systems with time-varying delays
cites work: Traffic jams: dynamics and control
cites work: Stability of linear time-varying delay systems and applications to control problems
cites work: Time-delay systems: an overview of some recent advances and open problems.
cites work: Robust stability analysis of linear time-delay systems by Lambert \(W\) function: some extreme point results
cites work: New Exponential Estimates for Time-Delay Systems
cites work: Stability Analysis of Switched Time Delay Systems
cites work: Delay differential equations via the matrix Lambert \(W\) function and bifurcation analysis: application to machine tool chatter
cites work: Eigenvalue Assignment via the Lambert W Function for Control of Time-delay Systems
cites work: Design of observer-based feedback control for time-delay systems with application to automotive powertrain control
cites work: Stability of switched systems with time delay
description: scientific article; zbMATH DE number 7151106