Stability analysis of some neutral delay-differential equations with a frequency-domain approach

DOI10.3934/DCDSB.2022147OpenAlexW4290755126MaRDI QIDQ2099189

Griselda R. Itovich, Franco S. Gentile, Jorge L. Moiola

Publication date: 23 November 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022147

zbMATH Keywords

stabilityneutral delay-differential equationsfrequency-domain methodNyquist criterion

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Control problems for functional-differential equations (34K35) Neutral functional-differential equations (34K40)

Uses Software

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Cites Work

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• Differential-difference equations
• Bifurcations in basic models of delayed force control
• Pseudospectral approximation of eigenvalues of derivative operators with nonlocal boundary conditions
• Hopf bifurcation calculations for scalar neutral delay differential equations
• Collocation schemes for periodic solutions of neutral delay differential equations
• Robust stability for time-delay systems: the edge theorem and graphical tests
• Dynamical Behavior of Chua's Circuit With Lossless Transmission Line
• Stability and Stabilization of Systems with Time Delay
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• On the zeros of some transcendental functions

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