When a new extraordinary and outstanding theory is stated, it has to face criticism and
skeptism, because it is beyond the usual concept. The fractional calculus though not new …

The present study provides a generalization of event-based control to the field of fractional
calculus, combining the benefits brought by the two approaches into an industrial-suitable …

This paper presents two different stabilization methods based on the fractional-calculus
theory. The first method is proposed via using the fractional differentiator, and the other is …

Fractional order systems become increasingly popular due to their versatility in modelling
and control applications across various disciplines. However, the bottleneck in deploying …

This paper deals with the use of Chebyshev polynomials theory to achieve accurate discrete-
time approximations to the fractional− order differentiator/integrator in terms of IIR filters …

Abstract Introduction Fractional Order Internal Model Control (FO-IMC) extends the
capabilities of the classical IMC approach into the generalized domain of fractional calculus …

This article is devoted to the electronic (analogue) realization of the fractional-order systems–
controllers or controlled objects whose we earlier used, identified, and analyzed as a …

Design of digital differentiators and integrators of order Page 1 ISSN 1 746-7233, England, UK
World Journal of Modelling and Simulation Vol. 4 (2008) No. 3, pp. 182-187 Design of digital …

This paper deals with a fractional calculus based control strategy for chaos suppression in
the 3D chaotic systems. It is assumed that the structure of the controlled chaotic system has …

We construct Feynman rules and Supergraphs in SIM (2) superspace. To test our methods
we perform a one-loop calculation of the effective action of the SIM (2) supersymmetric Wess …