2015 | OriginalPaper | Buchkapitel
Digraphs Minimal Realisations of State Matrices for Fractional Positive Systems
verfasst von : Krzysztof Hryniów, Konrad Andrzej Markowski
Erschienen in: Progress in Automation, Robotics and Measuring Techniques
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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.