Recently, fractional calculus has attracted much attention since it plays an important role in
many fields of science and engineering. Especially, the study on stability of fractional …

The interest in fractional-order (FO) control can be traced back to the late nineteenth century.
The growing tendency towards using fractional-order proportional-integral-derivative …

Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …

A recent article published in this magazine has labeled fractional-order continuous-time
systems as the" 21st century systems". Indeed, this emerging research area is slowly gaining …

After an overview of the results dedicated to stability analysis of systems described by
differential equations involving fractional derivatives, also denoted fractional order systems …

This technical note firstly presents a sufficient and necessary condition for the robust
asymptotical stability of fractional-order interval systems with the fractional order α satisfying …

This paper describes an emerging tool for industry: fractional order systems. Conventional
understanding of the notion of derivative and integral uses integer orders and our sense is …

In this paper, a stability test procedure is proposed for linear nonhomogeneous fractional
order systems with a pure time delay. Some basic results from the area of finite time and …

This paper studies the distributed coordination of networked fractional-order systems over a
directed interaction graph. A general fractional-order coordination model is introduced by …

This technical note presents necessary and sufficient conditions for the stability and
stabilization of fractional-order interval systems. The results are obtained in terms of linear …