A stability criterion for fractional-order complex-valued differential equations with distributed delays

被引：6
作者：
Yao, Zichen [1 ]
Yang, Zhanwen [1 ]
Zhang, Yusong [1 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 152卷
基金：
中国国家自然科学基金;
关键词：
Complex-valued differential equations; Caputo's fractional derivative; Stability; Laplace transform; Time delays; NEURAL-NETWORKS; SYNCHRONIZATION; SYSTEMS;
D O I：
10.1016/j.chaos.2021.111277
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the global asymptotic stability of fractional-order complex-valued differential equations with distributed delays. Based on the Laplace transform method, a novel necessary and sufficient condition for the stability is established by imbedding the characteristic equation into twodimensional complex system. The algebraical criterion is expressed by the fractional exponent, coefficients and the delay. Finally, two numerical examples are given to show the feasibility and effectiveness of the theoretical results. (c) 2021 Elsevier Ltd. All rights reserved.
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页数：7
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