Stability Analysis and Stabilization of Fractional-Order Systems With Distributed Delay

被引：0
|
作者：
Chen, Yi-Nan [1 ,2 ]
Lu, Jun-Guo [1 ,2 ]
Zhu, Zhen [1 ,2 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai, Peoples R China
[2] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2025年 / 35卷 / 05期
基金：
中国国家自然科学基金;
关键词：
distributed delay; fractional-order; robust stability; stability; stabilization;
D O I：
10.1002/rnc.7750
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the stability and stabilization problems of fractional-order systems with distributed delays (FOSDDs). Firstly, with the frequency sweeping technique and generalized Kalman-Yakubovic-Popov (KYP) lemma, a novel stability condition for FOSDDs is proposed. Secondly, based on the proposed stability condition, a robust stability condition for the uncertain FOSDDs with norm-bounded uncertainties is derived. Thirdly, based on the proposed robust stability condition, a novel stabilization condition for the uncertain FOSDDs with norm-bounded uncertainties is obtained. Finally, several numerical examples are provided to show the effectiveness of the proposed results. Moreover, in the numerical examples, the comparison of the proposed results with the existing results for FOSDDs is shown to demonstrate that the obtained results are less conservative.
引用
收藏
页码：1705 / 1718
页数：14
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