Stability analysis of fractional-order systems with double noncommensurate orders for matrix case

DOI10.2478/s13540-011-0027-3zbMath1273.93143OpenAlexW1985987084MaRDI QIDQ2853359

Zhuang Jiao, Yang Quan Chen

Publication date: 21 October 2013

Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-011-0027-3

zbMATH Keywords

fractional-order systemsbounded-input bounded-output stabilityLaplace transform techniquenumerical inversedouble noncommensurate orders

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Fractional ordinary differential equations (34A08)

Related Items

Some stability properties related to initial time difference for Caputo fractional differential equations, Stability analysis of impulsive fractional-order systems by vector comparison principle, Impulse response of a generalized fractional second order filter, Tuning and implementation methods for fractional-order controllers, Robust stability analysis of LTI systems with fractional degree generalized frequency variables, Stability and resonance analysis of a general non-commensurate elementary fractional-order system, Robust stability and stabilization of multi‐order fractional‐order systems with interval uncertainties: An LMI approach, Robust stability and stabilization of fractional order interval systems with coupling relationships: the \(0<\alpha<1\) case, Frequency Domain Method for Stability Analysis of Linear Continuous-Time State-Space Systems with Double Fractional Orders, Solvability for a couple system of nonlinear fractional differential equations in a Banach space, Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties, Fractional operators in the matrix variate case, Robust stability bounds of uncertain fractional-order systems

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