Abstract
This paper presents a method of the determination of characteristic polynomial realisations of the fractional positive system. The algorithm finds a complete set of all possible realisations instead of only a few realisations. In addition, all realisations in the set are minimal. The proposed method uses a parallel computing algorithm based on a digraphs theory which is used to gain much needed speed and computational power for a numeric solution. The presented procedure has been illustrated with a numerical example.
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HryniĆ³w, K., Markowski, K.A. (2015). Digraphs Minimal Realisations of State Matrices for Fractional Positive Systems. In: Szewczyk, R., ZieliÅski, C., KaliczyÅska, M. (eds) Progress in Automation, Robotics and Measuring Techniques. ICA 2015. Advances in Intelligent Systems and Computing, vol 350. Springer, Cham. https://doi.org/10.1007/978-3-319-15796-2_7
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DOI: https://doi.org/10.1007/978-3-319-15796-2_7
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15795-5
Online ISBN: 978-3-319-15796-2
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