Lα-Gain of Fractional-Order Positive Systems With Mixed Time-Varying Delays

被引：5

作者：

Qiu, Hongling ^{[1
,2
]}

Shen, Jun ^{[1
]}

Cao, Jinde ^{[3
]}

Liu, Heng ^{[4
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 211106, Peoples R China

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

[3] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China

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

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2024年 / 71卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Delays; Stability criteria; Asymptotic stability; Circuit stability; Numerical stability; Trajectory; Switches; Fractional-order system; positivity; L-infinity-gain; stability; mixed delay; EXPONENTIAL STABILITY; SWITCHED SYSTEMS; LINEAR-SYSTEMS;

D O I：

10.1109/TCSI.2023.3325161

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 paper investigates the Loo-gain of incommensurate fractional-order delayed positive systems (FODPSs), in which a mixture of unbounded delays and distributed delays is considered. Through the utilization of the Banach's fixed point theorem, the solution to the system is shown to exist uniquely. Then, two necessary and sufficient criteria achieving the positivity and stability of FODPSs with mixed delays are proposed, respectively. For the purpose of calculating the Loo-gain, a sample data system is formulated to approximate the lower bound of system trajectories. Additionally, it reveals that the duration of distributed delays have an impact on the Loo-gain, whereas unbounded delays will not. Finally, the validity of the theoretical results is explanted through a numerical simulation.

引用

页码：828 / 837

页数：10

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