计算一类微分系统稳定区间的判定条件

魏萍; 关强

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计算一类微分系统稳定区间的判定条件

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- 计算一类微分系统稳定区间的判定条件
- 计算一类微分系统稳定区间的判定条件
- Issue 4, (2007)
- 作者机构：
  
  1. 中国石油大学机电工程学院自动化系
  2. 中国科学院自动化研究所复杂系统与智能科学实验室
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2007
- 稿件说明：
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魏萍, 关强. 计算一类微分系统稳定区间的判定条件[J]. 2007, (4).
DOI：

魏萍, 关强. 计算一类微分系统稳定区间的判定条件[J]. 2007, (4). DOI：

摘要

对于一类滞后型微分系统

为了给出计算其稳定时滞区间的代数判定条件

通过分析其时滞相关稳定性

构造了计算该系统稳定时滞区间的算法.借助于Routh-Hurwitz准则及多项式完全判别系统

该算法可实现在线计算.该算法适用于一类多时滞微分系统

并可计算多个稳定时滞区间

完善了一些文献中只针对单时滞微分系统或只给出一个稳定时滞区间的结果.

Abstract

In order to find algebraic criteria for computing delay intervals for stability of a class of retarded differential systems

the delaydependent stability of the systems is analyzed

and the algorithms for determining the delay intervals for stability are constructed.By means of Routh-Hurwitz criteria and complete discrimination system for polynomials

on-line determining the delay intervals for stability of the systems can be realized.The algorithms can compute many delay intervals for stability of a class of multi-delay differential systems.The results improved the relevant results of some literatures

which are only applicable for some one-delay differential systems

or are able to compute only one delay interval for stability.

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