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arXiv:math/0204193 [math.OC]AbstractReferencesReviewsResources

Fractional-Order State Space Models

L. Dorcak, I. Petras, I. Kostial, J. Terpak

Published 2002-04-15Version 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 the difference in the true sense of the name "state" space for the integer-order and fractional-order system and the importance of the initialization function for the fractional-order system. Some implications concerning the state feedback control theory are discussed. Presented are the results of simulations.

Comments: PDF Version 1.3, 6 pages, 2 figures
Journal: Proceedings of 3rd ICCC'2002, Malenovice, Czech Republic, May 27 - 30, 2002, pp. 193 - 198, ISBN 80-248-0089-6
Categories: math.OC
Subjects: 26A33, 93C55, 65D25, 93C05
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