Fractional variable order discrete-time systems, their solutions and properties

Dominik Sierociuk and Wiktor Malesza

International Journal of Systems Science, 2017, vol. 48, issue 14, 3098-3105

Abstract: In this paper, fractional variable order discrete state-space systems based on different definitions of fractional variable order difference are investigated.The general solution of these systems is derived. Moreover, necessary and sufficient conditions for reachability and observability are given and proven. The sufficient conditions for controllability are proposed too.

Date: 2017
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DOI: 10.1080/00207721.2017.1365969

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