Brief Analysis of fractional delay systems of retarded and neutral type

Authors:
Catherine Bonnet;Jonathan R. Partington
Affiliations:
INRIA Rocquencourt, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay Cedex, France;School of Mathematics, University of Leeds, Leeds LS2 9JT, UK
Venue:
Automatica (Journal of IFAC)
Year:
2002

Citing 1
Cited 16

Realisation and approximation of linear infinite-dimensional systems with error bounds

SIAM Journal on Control and Optimization

Exponential stability assignment of neutral delay-differential systems by a class of linear-quadratic regulators

International Journal of Systems Science
Representations with poles and cuts for the time-domain simulation of fractional systems and irrational transfer functions

Signal Processing - Fractional calculus applications in signals and systems
Brief paper: Stabilization of some fractional delay systems of neutral type

Automatica (Journal of IFAC)
Brief paper: On robust stability of LTI fractional-order delay systems of retarded and neutral type

Automatica (Journal of IFAC)
LMI stability conditions for fractional order systems

Computers & Mathematics with Applications
Robust finite-time stability analysis of fractional order time delay systems: new results

CONTROL'10 Proceedings of the 6th WSEAS international conference on Dynamical systems and control
A graphical test for the interval stability of fractional-delay systems

Computers & Mathematics with Applications
Non-Lyapunov stability and stabilization of fractional order systems including time-varying delays

Proceedings of the 15th WSEAS international conference on Systems
A note on the use of the Lambert W function in the stability analysis of time-delay systems

Automatica (Journal of IFAC)
A numerical algorithm for stability testing of fractional delay systems

Automatica (Journal of IFAC)
Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach

Mathematical and Computer Modelling: An International Journal
An effective analytical criterion for stability testing of fractional-delay systems

Automatica (Journal of IFAC)
A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems

Automatica (Journal of IFAC)
Stability of fractional-order linear time-invariant systems with multiple noncommensurate orders

Computers & Mathematics with Applications
Stability of linear time invariant fractional delay systems of retarded type in the space of delay parameters

Automatica (Journal of IFAC)
Robust asymptotical stability of fractional-order linear systems with structured perturbations

Computers & Mathematics with Applications

Quantified Score

Hi-index	22.16

Visualization

Abstract

This paper analyses several properties linked to the robust control of fractional differential systems with delays. The BIBO stability of both retarded and neutral fractional delay systems is related to the location of their poles. In the particular case of retarded systems, we give some properties of the poles of the system and the singular values of its Hankel operator.