A MATLAB tool for the Floquet pseudospectral radius computation for time-periodic delay systems

Author. The software was written by Francesco Borgioli under supervision of Wim Michiels.

Related publications. F. Borgioli, D. Hajdu, T. Insperger, G. Stépán, W. Michiels. Pseudospectral method for assessing stability robustness for linear time-periodic delayed dynamical systems, Internal report TW 690, Department of Computer Science, KU Leuven, October 2019. Submitted for publication to International Journal for Numerical Methods in Engineering.

All scientific publications, for which the present software has been used, must mention the use of the software, and must refer to the above publication.

Description of the software. The software is intended to compute the Floquet pseudospectral radius of an uncertain system of periodic DDEs. Instrumental to this method, we include a solver to compute the Floquet multipliers which is based on a spectral discretization of the monodromy operator using a collocation approach. The software contains also a code to generate Figures 8 (a) and (b) of the aforementioned publication. This code plots the stable and robustly stable regions for a machine performing a turning operation with constant/varying spindle speed.

Acknowledgements. Project C14/17/072 of the KU Leuven Research Council, project G0A5317N of the Research Foundation Flanders (FWO - Vlaanderen).

Obtaining the software . Click here. All the included codes are commented.

The software is released under the GNU GPL v3.0 license. For complete details see here.

Back to overview of software for control of delay equations.

This page is maintained by Wim Michiels.
Last updated on May 08, 2009.