具有多个时滞的积分时滞系统的稳定性分析
作者:
作者单位:

Harbin Institute of Technology

作者简介:

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中图分类号:

TP273

基金项目:

国家自然科学基金项目(面上项目,重点项目,重大项目)


Stability Analysis of Integral Delays Systems with Multiple Time-Delays
Author:
Affiliation:

Harbin Institute of Technology

Fund Project:

The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)

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    摘要:

    本文针对具有多个时滞的积分时滞系统, 建立了新的基于线性矩阵不等式的稳定性条件. 该条件与正整 数k有关. 本文给出了k = 1时该条件与现有结果之间的关系. 该关系表明所提出的条件在k >= 2时的保守性比现 有结果小. 基于所提出的稳定性条件, 进一步研究了具有参数不确定性的积分时滞系统的鲁棒稳定性问题, 建立 了基于线性矩阵不等式的充分条件. 利用本文所提出的方法, 研究了具有多个离散时滞和分布时滞的积分时滞系 统的稳定性问题. 数值算例说明了所提出的稳定性判据的有效性.

    Abstract:

    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 by 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 demonstrated the effectiveness of the established results.

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历史
  • 收稿日期:2021-03-21
  • 最后修改日期:2021-11-15
  • 录用日期:2021-11-26
  • 在线发布日期: 2022-01-02
  • 出版日期: