| 计算一类微分系统稳定区间的判定条件 |
| |
| 引用本文： | 魏萍,关强.计算一类微分系统稳定区间的判定条件[J].中北大学学报,2007,28(4):283-287. |
| |
| 作者姓名： | 魏萍 关强 |
| |
| 作者单位： | 中国石油大学,机电工程学院自动化系,北京,102249;中国科学院自动化研究所复杂系统与智能科学实验室,北京,100080;中国科学院自动化研究所复杂系统与智能科学实验室,北京,100080 |
| |
| 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.
|
| 关 键 词： | 滞后型微分系统 时滞相关稳定 时滞区间 代数判定条件 |
| 文章编号： | 1673-3193（2007）04-0283-05 |
| 收稿时间： | 2006-10-29 |
| 修稿时间： | 2006年10月29 |
Criteria for Computing Delay Intervals for Stability |
| |
| WEI Ping,GUAN Qiang.Criteria for Computing Delay Intervals for Stability[J].Journal of North University of China,2007,28(4):283-287. |
| |
| Authors: | WEI Ping GUAN Qiang |
| |
| Affiliation: | 1. Dept. of Automation, Faculty of Mechanical and Electronic Engineering, China University of Petroleum, Beijing, 102249. China; 2. Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China |
| |
| 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. |
| |
| Keywords: | retarded differential system delay-dependent stability delay interval algebraic criteria |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
