关于时滞系统的平稳振荡  

On the Stationary Oscillations of Retarded Systems

作　　者：邓飞其[1] 刘永清[1] 金燕生[2] 徐玉民[2] 

机构地区：[1]华南理工大学自动控制工程系 [2]燕山大学数理系

出　　处：《工程数学学报》1998年第4期8-12,共5页Chinese Journal of Engineering Mathematics

摘　　要：在讨论时滞周期系统的平稳振荡中，先给出一般时滞系统平稳振荡存在性的充要条件，并对非周期系统渐近性态给出一个实用结果，最后以对孤立子系统最弱假设讨论了时滞周期大系统的平稳振荡。Abstract In this paper, stationary oscillations of periodic retarded systems are investigated. In the paper, a necessary and sufficient condition for the existence of stationary oscillations of general retarded systems is first given, a practical result is given then for non periodic systems, finally, stationary oscillations of large scale periodic retarded systems is investigated under the weakest condtions on isolated sub systems.

关 键 词：时滞周期系统 大系统 非周期系统 平稳振荡 充要条件 动力系统 定性理论 

分 类 号：O175.12[理学—数学]