Exact stability and instability regions for two-dimensional linear autonomous multi-order systems of fractional-order differential equations
Dynamical Systems
2021-03-02 v2 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1910.07237,
title = {Exact stability and instability regions for two-dimensional linear autonomous multi-order systems of fractional-order differential equations},
author = {Oana Brandibur and Eva Kaslik},
journal= {arXiv preprint arXiv:1910.07237},
year = {2021}
}
Comments
28 pages, 5 figures