210 citations · 440 across the 10 of their papers we have counts for
10 papers
Novel low-pass filter with adjustable parameters of~exponential-type forgetting
Ivo Petras
In this paper, a novel form of Gaussian filter, the Mittag-Leffler filter, is presented. This new filter uses a Mittag-Leffler function in the probability density function. Such Mi…
Experimental evidence of variable-order behavior of ladders and nested ladders
Dominik Sierociuk, Igor Podlubny, Ivo Petras
The experimental study of two kinds of electrical circuits, a domino ladder and a nested ladder, is presented. While the domino ladder is known and already appeared in the theory o…
Stability of Fractional-Order Systems with Rational Orders
Ivo Petras
This paper deals with stability of a certain class of fractional order linear and nonlinear systems. The stability is investigated in the time domain and the frequency domain. The…
State space description of national economies: the V4 countries
Ivo Petras, Igor Podlubny
We present a new approach to description of national economies. For this we use the state space viewpoint, which is used mostly in the theory of dynamical systems and in the contro…
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…
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…