New fractional-order integral inequalities: Application to fractional-order systems with time-varying delay

被引：13
|
作者：
Hu, Taotao [1 ]
He, Zheng [1 ]
Zhang, Xiaojun [2 ]
Zhong, Shouming [2 ]
Yao, Xueqi [2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Management & Econ, Chengdu 611731, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2021年 / 358卷 / 07期
基金：
中国国家自然科学基金;
关键词：
BAM NEURAL-NETWORKS; SYNCHRONIZATION; STABILITY; CRITERIA;
D O I：
10.1016/j.jfranklin.2021.02.027
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of delay-dependent stability analysis of fractional-order systems with timevarying delay is investigated. First, a class of novel fractional-order integral inequalities for quadratic functions by constructing appropriate auxiliary functions is proposed, which has been proven to be useful in analyzing fractional-order systems with time-varying delay. Based on these proposed inequalities, the Lyapunov?Krasovskii functions are designed to deal with the time-varying delay terms, reducing the conservatism of the stability criteria. Furthermore, delay-dependent criteria are derived to achieve asymptotic stability of fractional-order systems with time-varying delay. Finally, two examples are provided to illustrate the effectiveness and feasibility of the proposed stability criteria. ? 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：3847 / 3867
页数：21
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