| 摘要: |
| 本文研究顶点由两个分数阶微分方程构建的新耦合模型的稳定问题.通过使用构建Lyapunov函数思想和耦合系统的图论，得到新模型的平衡点Mittag-Leffler稳定的充分条件，并且举例阐述了主要结论的应用性. |
| 关键词: Mittag-Leffler稳定 耦合系统 全局稳定 Caputo导数 |
| DOI： |
| 分类号:O175.1 |
| 基金项目:Supported by the Natural Science Foundation of Heilongjiang Province for Youths (QC2015066); the Natural Science Foundation of Daqing Normal University for Doctor (12ZR09) |
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| STABILITY ANALYSIS FOR ONE CLASS OF COUPLED SYSTEM OF FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS ON NETWORK |
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GAO Yang, ZHAO Wei
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Department of Teaching Education, Daqing Normal University, Daqing 163712, China
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| Abstract: |
| In this paper, the stability problem of the new coupled model constructed by two fractional-order differential equations for every vertex is studied. By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, sufficient conditions that the coexistence equilibrium of the coupling model is globally Mittag-Leffler stable in R2n are derived. An example is given to illustrate the applications of main results. |
| Key words: Mittag-Leffler stable coupled model global stability Caputo derivative |
