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Analysis of the fractional descriptor discrete-time linear systems by the use of the shuffle algorithm

  • * Corresponding author: Andrzej Ruszewski

    * Corresponding author: Andrzej Ruszewski

This work was supported by National Science Centre in Poland under Grant No. 2017/27/B/ST7/02443

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  • The shuffle algorithm is applied to analysis of the fractional descriptor discrete-time linear systems. Using the shuffle algorithm the singularity of the fractional descriptor linear system is eliminated and the system is decomposed into dynamic and static parts. Procedures for computation of the solution and dynamic and static parts of the system are proposed. Sufficient conditions for the positivity of the fractional descriptor discrete-time linear systems are established.

    Mathematics Subject Classification: Primary: 93C05; Secondary: 93C55, 26A33.


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