Global Stability of Fractional Order Coupled Systems with Impulses via a Graphic Approach

Based on the graph theory and stability theory of dynamical system, this paper studies the stability of the trivial solution of a coupled fractional-order system. Some sufficient conditions are obtained to guarantee the global stability of the trivial solution. Finally, a comparison between fraction...

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Bibliographic Details
Published in:Mathematics (Basel) 2019-08, Vol.7 (8), p.744
Main Authors: Zhang, Bei, Xia, Yonghui, Zhu, Lijuan, Liu, Haidong, Gu, Longfei
Format: Article
Language:English
Subjects:
Dynamic stability
Food science
global stability
Graph theory
impulse
Neural networks
Trees
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Summary:Based on the graph theory and stability theory of dynamical system, this paper studies the stability of the trivial solution of a coupled fractional-order system. Some sufficient conditions are obtained to guarantee the global stability of the trivial solution. Finally, a comparison between fractional-order system and integer-order system ends the paper.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7080744