Stability crossing surfaces for linear time-delay systems with three delays

DOI10.1080/00207170903037739zbMath1178.93128OpenAlexW2144974199MaRDI QIDQ3654567

Elham Almodaresi, Mohammad Bozorg

Publication date: 6 January 2010

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170903037739

zbMATH Keywords

stabilitytime-delay systemsvisualisationmultiple delaysquasipolynomials

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (5)

Bounds of imaginary spectra of LTI systems in the domain of two of the multiple time delays ⋮ Stability and Andronov-Hopf bifurcation of a system with three time delays ⋮ All-Stabilizing Proportional Controllers for First-Order Bi-Proper Systems with Time Delay: An Analytical Derivation ⋮ Delay dynamics of a Cournot game with heterogeneous duopolies ⋮ Stability domains of the delay and PID coefficients for general time-delay systems

Cites Work

• Global geometry of the stable regions for two delay differential equations
• Time-delay systems: an overview of some recent advances and open problems.
• On stability crossing curves for general systems with two delays
• Complete stability robustness of third-order LTI multiple time-delay systems
• A method for computing the interval of delay values for which a differential-delay system is stable
• Frequency sweeping tests for stability independent of delay
• An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems

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