Exact stability and instability regions for two-dimensional linear autonomous multi-order systems of fractional-order differential equations
arXiv:1910.07237 · doi:10.1515/fca-2021-0010
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.
28 pages, 5 figures