Stability and L8-Gain of Positive Fractional-Order Singular Systems With Time-Varying Delays

被引：16

作者：

Qiu, Hongling ^{[1
]}

Wang, Hongxing ^{[1
]}

Pan, Yongping ^{[2
]}

Cao, Jinde ^{[3
,4
]}

Liu, Heng ^{[1
]}

机构：

[1] Guangxi Minzu Univ, Sch Math & Phys, Nanning 530006, Peoples R China

[2] Sun Yat Sen Univ, Sch Comp Sci & Engn, Guangzhou 510006, Peoples R China

[3] Southeast Univ, Sch Math, Nanjing, Peoples R China

[4] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2023年 / 70卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Fractional-order singular system; positivity; stability; time-varying delay;

D O I：

10.1109/TCSII.2023.3265656

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 investigates the stability and L-8-gain of positive fractional-order singular systems (FOSSs) with time-varying delays. Based on the Drazin inverse of singular matrices, an equivalent auxiliary system is developed to avoid the singularity problem, and a sufficient and necessary criterion ensuring the positivity of delayed FOSSs is established. Furthermore, the asymptotic stability and L-8-gain of FOSSs are analyzed using the positivity and monotonicity of system solutions instead of the fractional Lyapunov stability theorem. Finally, a simulation experiment utilizing electrical circuit system is carried out to justify the rationality of the results.

引用

页码：3534 / 3538

页数：5

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