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2 Bulletin of the Polish Academy of Sciences. Technical Sciences

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Numerical solution of fractional variable order linear control system in state-space form

Malesza W., Macias M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2017

Vol. 65, nr 5

715--724

The aim of this paper is to introduce a matrix approach for approximate solving of non-commensurate fractional variable order linear control systems in state-space form. The approach is based on switching schemes that realize variable order derivatives. The obtained numerical solution is compared with simulation and analog model results.

Duality of variable fractional order difference operators and its application in identification

Sierociuk D., Twardy M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2014

Vol. 62, nr 4

809--815

The paper presents a number of definitions of variable order difference and discusses duality among some of them. The duality is used to improve the performance of the least squares estimation when applied to variable order difference fractional systems. It turns out, that by appropriate exploitation of duality one can reduce the estimator variance when system identification is carried out.