Stability analysis of integral delays systems with multiple time-delays

被引：0

作者：

Song Y.-X. ^{[1
]}

Zhou B. ^{[1
]}

机构：

[1] School of Astronautics, Harbin Institute of Technology, Harbin

来源：

Kongzhi yu Juece/Control and Decision | 2023年 / 38卷 / 02期

关键词：

integral delay systems; linear matrix inequalities (LMIs); robust stability; stability;

D O I：

10.13195/j.kzyjc.2021.0469

中图分类号：

学科分类号：

摘要：

This paper investigates the stability analysis of integral delay systems with multiple delays. A new stability condition in terms of linear matrix inequalities (LMIs) indexed by a positive integer k is provided. When k = 1, the relationship between this condition and an existing result is revealed, which shows that the proposed condition with k ≽ 2 can be less conservative than the existing ones. Based on the proposed stability condition, the robust stability problem for perturbed integral delay systems is investigated, and the results are expressed using LMIs. By using the proposed method, the stability analysis of integral time-delay systems with multiple discrete and distributed time delays are studied. Numerical examples demonstrate the effectiveness of the established results. © 2023 Northeast University. All rights reserved.

引用

页码：562 / 568

页数：6

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