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Reachability, observability and minimum energy control of fractional positive continuous-time linear systems with two different fractional orders

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Abstract

The reachability, observability and minimum energy control problems for the fractional positive continuous-time linear systems with two different fractional orders are formulated. Necessary and sufficient conditions for the reachability and observability are established. Solution to the minimum energy control problem is derived and demonstrated on example of electrical circuit.

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Acknowledgments

This work was supported by National Science Centre in Poland under work No. N N514 6389 40.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 , Białystok, Poland

    Łukasz Sajewski

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  1. Łukasz Sajewski
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Correspondence to Łukasz Sajewski.

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Sajewski, Ł. Reachability, observability and minimum energy control of fractional positive continuous-time linear systems with two different fractional orders. Multidim Syst Sign Process 27, 27–41 (2016). https://doi.org/10.1007/s11045-014-0287-2

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  • DOI: https://doi.org/10.1007/s11045-014-0287-2

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