An analytical criterion for stability testing of delayed Bode's transfer function with unity feedback
type: Item
instance of: scholarly article
title: An analytical criterion for stability testing of delayed Bode's transfer function with unity feedback
zbMATH Open document ID: 1544.34137
author: Erhan Yumuk
published in: Journal of the Franklin Institute
publication date: 2024-09-10T00:00:00Z
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 34K08
Mathematics Subject Classification ID: 34K37
zbMATH DE Number: 7909867
zbMATH Keywords: delayed Bode's transfer function
zbMATH Keywords: fractional order control system
zbMATH Keywords: delay time systems
zbMATH Keywords: Hassard's theorem
MaRDI profile type: Publication
cites work: Fractional order proportional derivative control for time delay plant of the second order: the frequency frame
cites work: Stability of fractional-order linear time-invariant systems with multiple noncommensurate orders
cites work: Modified Mikhailov stability criterion for continuous-time noncommensurate fractional-order systems
cites work: On the robust stability of commensurate fractional-order systems
cites work: Analysis of fractional delay systems of retarded and neutral type
cites work: Stabilization of some fractional delay systems of neutral type
cites work: An effective analytical criterion for stability testing of fractional-delay systems
cites work: Counting roots of the characteristic equation for linear delay-differential systems
cites work: Mikhailov stability criterion for fractional commensurate order systems with delays
cites work: Stability of linear time invariant fractional delay systems of retarded type in the space of delay parameters
cites work: Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay
cites work: New finite-time stability for fractional-order time-varying time-delay linear systems: a Lyapunov approach
cites work: A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems
cites work: A numerical algorithm for stability testing of fractional delay systems
cites work: Root locus of fractional linear systems
cites work: Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
cites work: A simple approach to mathematical modelling of integer order and fractional order fuzzy PID controllers using one-dimensional input space and their experimental realization
cites work: Quasi-projective and complete synchronization of fractional-order complex-valued neural networks with time delays
cites work: Robust internal model controller with increased closed-loop bandwidth for process control systems
cites work: A robust fractional-order controller design with gain and phase margin specifications based on delayed Bode's ideal transfer function
DOI: 10.1016/J.JFRANKLIN.2024.107082
description: scientific article; zbMATH DE number 7909867