Modification of Mikhailov stability criterion for fractional commensurate order systems

摘要

In this paper we present the modification of the Mikhailov stability criterion for linear fractional commensurate order systems. The modification consists in determining the appropriate measure for the total argument change depending on the highest fractional order alpha(n) = n alpha of the system and not only on the integer n as stated in the literature. The validity of the result is illustrated by means of several examples. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.