On stability of second-order quasi-polynomials with a single delay

DOI10.1016/j.automatica.2006.01.024zbMath1135.93025OpenAlexW2077616895MaRDI QIDQ857155

Efim Malakhovski, Leonid Mirkin

Publication date: 14 December 2006

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2006.01.024

zbMATH Keywords

stability analysistime-delay systemscharacteristic polynomialscrossover frequency

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Robust stability (93D09)

Related Items (11)

Delay Effects on Output Feedback Control of Dynamical Systems ⋮ On stability of second-order quasi-polynomials with a single delay ⋮ Stabilization strategy for unstable first order linear systems with large time-delay ⋮ On the control of unstable first order linear systems with large time lag: observer based approach ⋮ All-Stabilizing Proportional Controllers for First-Order Bi-Proper Systems with Time Delay: An Analytical Derivation ⋮ Stability analysis of mathematical model of competition in a chain of chemostats in series with delay ⋮ An almost optimal control design method for nonlinear time-delay systems ⋮ Stability of three-parameter systems of two linear differential equations with delay. I ⋮ Critical delays and polynomial eigenvalue problems ⋮ Boundary control of partial differential equations using frequency domain optimization techniques ⋮ Stability of PID-controlled second-order time-delay feedback systems

Cites Work

• Unnamed Item
• Delay differential equations: with applications in population dynamics
• On stability of second-order quasi-polynomials with a single delay
• Stability in linear delay equations
• Discrete delay, distributed delay and stability switches
• Stability with respect to the delay: On a paper of K. L. Cooke and P. van den Driessche
• Delay effects on stability. A robust control approach
• w-stability of feedback systems
• Direct method for TDS stability analysis
• A procedure for determination of the exponential stability of certain differential-difference equations
• New results on the synthesis of PID controllers
• A general stabilty criterion for linear oscillating systems with constant time lag
• Stability of time-delay systems

This page was built for publication: On stability of second-order quasi-polynomials with a single delay