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20002003
most citedComparison of the methods for discrete approximation of the fractional-order operator

29 citations · 57 across the 2 of their papers we have counts for

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5 papers · 1 filter

math.OC200329 cited

Comparison of the methods for discrete approximation of the fractional-order operator

L. Dorcak, I. Petras, J. Terpak +1

In this paper we will present some alternative types of discretization methods (discrete approximation) for the fractional-order (FO) differentiator and their application to the FO…

math.OC200328 cited

Digital Fractional Order Controllers Realized by PIC Microprocessor: Experimental Results

I. Petras, S. Grega, L. Dorcak

This paper deals with the fractional-order controllers and their possible hardware realization based on PIC microprocessor and numerical algorithm coded in PIC Basic. The mathemati…

math.OC2002

Fractional-Order State Space Models

L. Dorcak, I. Petras, I. Kostial +1

In this paper we will present some alternative types of mathematical description and methods of solution of the fractional-order dynamical system in the state space. We point out t…

math.OC2000

The modelling and analysis of fractional-order control systems in frequency domain

I. Petras, L. Dorcak, P. O'Leary +2

This paper deals with fractional-order controlled systems and fractional-order controllers in the frequency domain. The mathematical description by fractional transfer functions an…

math.OC2000

The fractional - order controllers: Methods for their synthesis and application

I. Petras

This paper deals with fractional-order controllers. We outline mathematical description of fractional controllers and methods of their synthesis and application. Synthesis method i…