Stability analysis of time-delay incommensurate fractional-order systems

被引：9

作者：

Tavazoei, Mohammad ^{[1
]}

Asemani, Mohammad Hassan ^{[1
]}

机构：

[1] Shiraz Univ, Sch Elect & Comp Engn, Shiraz, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2022年 / 109卷

关键词：

Incommensurate fractional-order system; Time-delay systems; Delay margin; Stability; CONSENSUS;

D O I：

10.1016/j.cnsns.2022.106270

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the stability of time-delay incommensurate fractional-order systems is investigated. Using the Nyquist Theorem, a non-conservative condition is obtained that guarantees the stability of these systems. A formula is proposed which shows the delay values that break this stability condition. Using this formula associated with the assumption that the zero-delay system is stable, one can find the maximum allowable values for delay that guarantee the stability. The proposed method can be used for incommensurate fractional-order systems without any restrictions on fractional-orders or the system dimension. The effectiveness of the proposed method is investigated by applying it on the gene regularity network model. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：10

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