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

Bei Zhang, Yonghui Xia, Lijuan Zhu, Haidong Liu and Longfei Gu
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Bei Zhang: School of Mathematics Science, Huaqiao University, Quanzhou 362000, China
Yonghui Xia: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Lijuan Zhu: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Haidong Liu: School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
Longfei Gu: Department of Mathematics, Linyi University, Linyi 276000, China

Mathematics, 2019, vol. 7, issue 8, 1-10

Abstract: 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.

Keywords: neural networks; global stability; impulse (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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