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极大极小系统的周期时间配置域
引用本文:陶跃钢,李坤杰,刘国平.极大极小系统的周期时间配置域[J].控制理论与应用,2007,24(1):75-78.
作者姓名:陶跃钢  李坤杰  刘国平
作者单位:中国科学院自动化研究所,复杂系统与智能科学重点实验室,北京,100080
基金项目:国家自然科学基金资助项目 60528002, 60334020 ; 中国科学院自动化研究所博士后专项基金资助项目
摘    要:通信网络、计算机网络、工业制造等领域的许多问题可以由极大极小系统模型描述.周期时间是极大极小系统的周期行为指标.引入极大极小系统关于状态反馈的周期时间配置域概念.证明周期时间配置域局部无界性等价于系统局部能达性,并指出配置域的无界性与系统的能稳性的关联.同时证明周期时间配置域是闭的和连通的.

关 键 词:极大极小系统  周期时间配置域  无界性  能达性
文章编号:1000-8152(2007)01-0075-04
收稿时间:4/6/2005 12:00:00 AM
修稿时间:4/3/2006 12:00:00 AM

Range of cycle time assignment of max-min systems
TAO Yue-gang,LI Kun-jie,LIU Guo-ping.Range of cycle time assignment of max-min systems[J].Control Theory & Applications,2007,24(1):75-78.
Authors:TAO Yue-gang  LI Kun-jie  LIU Guo-ping
Affiliation:Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China
Abstract:A variety of problems arising in communication networks, computer networks, automated manufacturing plants, etc., can be described by max-min system models. Cycle time is the periodic behaviour of such systems. Firstly, the concept of range of cycle time assignment related to state feedback is introduced. The local unboundedness of the range is then proved to be equivalent to the local reachability of the system. The internal relationship between the unboundedness and the stabilization is also pointed out. Morever, the range is proved to be closed and connected.
Keywords:max-min systems  range of cycle time assignment  unboundedness  reachability
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