An effective analytical criterion for stability testing of fractional-delay systems

DOI10.1016/J.AUTOMATICA.2011.05.018zbMath1227.93055OpenAlexW2015001459MaRDI QIDQ644263

Min Shi, Zaihua Wang

Publication date: 3 November 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.05.018

zbMATH Keywords

BIBO stabilitystability testfractional-delay system

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Dynamical response of Mathieu-Duffing oscillator with fractional-order delayed feedback ⋮ Order‐dependent LMI‐based stability and stabilization conditions for fractional‐order time‐delay systems using small gain theorem ⋮ Stability and delay sensitivity of neutral fractional-delay systems ⋮ A computing method on stability intervals of time-delay for fractional-order retarded systems with commensurate time-delays ⋮ A graphical test for the interval stability of fractional-delay systems ⋮ Stability of linear time invariant fractional delay systems of retarded type in the space of delay parameters ⋮ A Computing Approach for Delay Margin of Linear Fractional‐Order Retarded Systems with Commensurate Time Delays ⋮ Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay ⋮ Robust FOPID stabilization of retarded type fractional order plants with interval uncertainties and interval time delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability analysis of linear fractional differential system with multiple time delays
• A numerical algorithm for stability testing of fractional delay systems
• On the essential instabilities caused by fractional-order transfer functions
• Some applications of fractional calculus in engineering
• Fractional-order systems and controls. Fundamentals and applications
• Counting roots of the characteristic equation for linear delay-differential systems
• Analysis of fractional delay systems of retarded and neutral type
• Analytical stability bound for a class of delayed fractional-order dynamic systems
• Stabilization of some fractional delay systems of neutral type
• Fractional diffusion and wave equations
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Robust stability for time-delay systems: the edge theorem and graphical tests
• BIFURCATIONS AND CHAOS IN FRACTIONAL-ORDER SIMPLIFIED LORENZ SYSTEM
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Genetic Algorithm Optimization of a Six Degree of Freedom Micro Parallel Robot
• Kelvin-Voigt versus fractional derivative model as constitutive relations for viscoelastic materials
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: An effective analytical criterion for stability testing of fractional-delay systems