Finite-time stability of Atangana-Baleanu fractional-order linear systems (Q2210264)

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Finite-time stability of Atangana-Baleanu fractional-order linear systems
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    Finite-time stability of Atangana-Baleanu fractional-order linear systems (English)
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    5 November 2020
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    Summary: This paper investigates a fractional-order linear system in the frame of Atangana-Baleanu fractional derivative. First, we prove that some properties for the Caputo fractional derivative also hold in the sense of AB fractional derivative. Subsequently, several sufficient criteria to guarantee the finite-time stability and the finite-time boundedness for the system are derived. Finally, an example is presented to illustrate the validity of our main results.
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