A modified Mikhailov stability criterion for a class of discrete-time noncommensurate fractional-order systems

摘要

This paper introduces an extension of the Mikhailov stability criterion to a class of discrete-time noncommensurate fractional-order systems using the nabla fractional-order Gr & uuml;nwald-Letnikov difference. The new stability analysis methods proposed in the paper are computationally simple and can be effectively used both for commensurate and non-commensurate fractional-order systems. The main advantage of the proposed methodology is the fact that the stability analysis of noncommensurate fractional-order systems leads to exactly the same computational complexity as for the commensurate-order ones. Simula-tion examples confirm usefulness of the proposed methodology. (c) 2021 Elsevier B.V. All rights reserved.