Exact Stability and Instability Regions for Two-Dimensional Linear Autonomous Multi-Order Systems of Fractional-Order Differential Equations

被引：0
|
作者：
Oana Brandibur
Eva Kaslik
机构：
[1] West University of Timisoara,Dept. of Mathematics and Computer Science
[2] Institute e-Austria Timisoara,undefined
来源：
Fractional Calculus and Applied Analysis | 2021年 / 24卷
关键词：
Primary 26A33; 34Dxx; Secondary 34A08; 34K37; fractional ordinary differential equations; Caputo derivative; stability; instability;
D O I：
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中图分类号：
学科分类号：
摘要：
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 characterised, in terms of the main diagonal elements of the systems’ matrix, as well as its determinant.
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页码：225 / 253
页数：28
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