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.[点击复制]
TAO Yue-gang, LI Kun-jie, LIU Guo-ping.Range of cycle time assignment of max-minsystems[J].Control Theory and Technology,2007,24(1):75~78.[点击复制]
极大极小系统的周期时间配置域
Range of cycle time assignment of max-minsystems
摘要点击 1447  全文点击 859  投稿时间:2005-04-06  修订日期:2006-04-03
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DOI编号  10.7641/j.issn.1000-8152.2007.1.013
  2007,24(1):75-78
中文关键词  极大极小系统  周期时间配置域  无界性  能达性
英文关键词  max-min systems  range of cycle time assignment  unboundedness  reachability
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
作者单位
陶跃钢,李坤杰,刘国平 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 
中文摘要
      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.
英文摘要
       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.