A stability study on first-order neutral systems with three rationally independent time delays

DOI10.1080/00207720903353625zbMath1206.93097OpenAlexW2101833118MaRDI QIDQ3072445

Rifat Sipahi, Nejat Olgac, Dimitri Breda

Publication date: 3 February 2011

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720903353625

zbMATH Keywords

linear systemsasymptotic stabilitytime-delay systemsfeedback controlmultiple delays

Mathematics Subject Classification ID

Feedback control (93B52) Asymptotic stability in control theory (93D20) Control problems involving ordinary differential equations (34H05) Neutral functional-differential equations (34K40) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

Bounds of imaginary spectra of LTI systems in the domain of two of the multiple time delays ⋮ Necessary stability conditions for neutral-type systems with multiple commensurate delays ⋮ The asymptotic analysis of multiple imaginary characteristic roots for LTI delayed systems based on Puiseux–Newton diagram ⋮ Demand forecasting of perishable farm products using support vector machine ⋮ On characteristic roots and stability charts of delay differential equations

Uses Software

• DDE-BIFTOOL

Cites Work

• An adaptive algorithm for efficient computation of level curves of surfaces
• On the zeros of exponential polynomials
• Global geometry of the stable regions for two delay differential equations
• Complexity issues in robust stability of linear delay-differential systems
• On delay robustness analysis of a simple control algorithm in high-speed networks
• A practical method for analyzing the stability of neutral type LTI-time delayed systems
• A unique methodology for the stability robustness of multiple time delay systems
• Pseudospectral approximation of eigenvalues of derivative operators with nonlocal boundary conditions
• Complete stability robustness of third-order LTI multiple time-delay systems
• EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF CELLULAR NEURAL NETWORKS WITH IMPULSES AND LEAKAGE DELAY
• Complete Stability Analysis of Neutral‐Type First Order Two‐Time‐Delay Systems with Cross‐Talking Delays
• Stability Robustness of Retarded LTI Systems with Single Delay and Exhaustive Determination of Their Imaginary Spectra
• Differential-delay equations with two time lags
• Spectral Methods in MATLAB
• Sensitivity to Infinitesimal Delays in Neutral Equations
• Strong stabilization of neutral functional differential equations
• The stability of supply chains
• On computing the maximal delay intervals for stability of linear delay systems
• An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems
• An Improved Procedure in Detecting the Stability Robustness of Systems With Uncertain Delay
• Stability and Stabilization of Time-Delay Systems
• Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations

This page was built for publication: A stability study on first-order neutral systems with three rationally independent time delays