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Realisation of Linear Continuous-Time Fractional Singular Systems Using Digraph-Based Method. First approach.

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, , Citation Konrad A. MARKOWSKI 2017 J. Phys.: Conf. Ser. 783 012052 DOI 10.1088/1742-6596/783/1/012052

1742-6596/783/1/012052

Abstract

In this paper, a new method for computation of a minimal realisation of a given proper transfer function of fractional continuous-time singular one-dimensional linear systems using one-dimensional digraphs theory D has been presented. For the proposed method, an algorithm was constructed. The proposed solution allows minimal digraphs construction for any one-dimensional system. The proposed method was discussed and illustrated with numerical examples.

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10.1088/1742-6596/783/1/012052