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- Dominik Sierociuk, Wiktor Malesza, Michal Macias
- CDC
- 2013

- Dominik Sierociuk, Wiktor Malesza, Michal Macias
- CSSP
- 2015

In this paper, a switching strategy for recursive fractional variable-order derivative is proposed. This strategy can be interpreted as an explanation of order switching mechanism for this particular type of derivative. Additionally, important properties of variable fractional order derivatives, required for prove the main result, are introduced both in a… (More)

Abstract—The paper presents switching strategy that is equivalent to one type of variable order derivative definitions. The numerical scheme, based on matrix approach, for this type of the definition is also introduced. Using this approach the identity of the switching strategy and considered definition is derived. The switching scheme can be used as an… (More)

- Dominik Sierociuk, Michal Macias, Wiktor Malesza
- IEEE J. Emerg. Sel. Topics Circuits Syst.
- 2013

- Dominik Sierociuk, Wiktor Malesza
- ECC
- 2016

- Dominik Sierociuk, Wiktor Malesza
- Int. J. Systems Science
- 2017

- Wiktor Malesza, Dominik Sierociuk
- ICFDA'14 International Conference on Fractional…
- 2014

In the paper, an analytical description in the continuous-time domain of additive-switching scheme for fractional variable-order differ-integrals will be presented. Moreover, composition property of variable-order differ-integrals realized by means of additive-switching scheme with constant-order differ-integral will be investigated. Analog realization… (More)

- Dominik Sierociuk, Wiktor Malesza, Michal Macias
- 2015 20th International Conference on Methods and…
- 2015

In the paper, a novel practical analog modeling of multiple-switching fractional order systems based on recursive fractional variable order integrals, is introduced. Presented circuit, based on domino ladder approximation of half order impedance, allows to multiple-switching between orders 0.5 and 1. Moreover, numerical scheme for solving variable order… (More)

- Wiktor Malesza, Dominik Sierociuk, Michal Macias
- ACC
- 2015

The aim of this paper is to introduce an approach for analytical solving fractional variable order linear differential equations. The approach is based on switching scheme that realizes variable order derivative. The obtained analytical solution is compared with numerical and analog model results.

The paper is devoted to variable order estimation process when measurements are obtained in two different ways: directly and by lossy network. Since the problem of fractional order estimation is highly nonlinear, dual estimation algorithm based on Unscented Fractional Order Kalman filter has been used. In dual estimation process, state variable and order… (More)

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