Asymptotic Boundedness of Conformable Fractional Delay Differential Systems

被引：9
|
作者：
He, Danhua [1 ]
Bao, Baizeng [2 ]
Hu, Hongxiao [3 ]
Xu, Liguang [4 ]
机构：
[1] Zhejiang Int Studies Univ, Dept Math, Hangzhou 310023, Peoples R China
[2] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China
[3] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[4] Univ Shanghai Sci & Technol, Dept Control Sci & Engn, Shanghai 200093, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2023年 / 70卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Conformable fractional differential systems; conformable fractional Halanay inequalities; asymptotic boundedness; time delay; EXPONENTIAL STABILITY; STABILIZATION; MODELS;
D O I：
10.1109/TCSII.2023.3282232
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This brief focuses on the problem of asymptotic boundedness for non-autonomous conformable fractional delay differential systems. Firstly, by utilizing the definition of conformable fractional derivative and fractional comparison principle, we propose non-autonomous conformable fractional Halanay inequalities. And then, based on the Halanay inequalities, sufficient conditions for the asymptotic boundedness are constructed for the systems. Finally, a numerical example shows the applicability of the proposed technique.
引用
收藏
页码：4186 / 4190
页数：5
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