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arXiv · 1910.07237

Exact stability and instability regions for two-dimensional linear autonomous multi-order systems of fractional-order differential equations

Oana Brandibur·Eva Kaslik
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Abstract

Necessary and sufficient conditions are explored for the asymptotic stability and instability of linear two-dimensional autonomous systems of fractional-order differential equations with Caputo derivatives. Fractional-order-dependent and fractional-order-independent stability and instability properties are fully characterized, in terms of the main diagonal elements of the systems' matrix, as well as its determinant.

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Oana Brandibur, Eva Kaslik. 2019-10-16. Exact stability and instability regions for two-dimensional linear autonomous multi-order systems of fractional-order differential equations. https://doi.org/10.1515/fca-2021-0010

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