引用本文:陈辉,陈兆宽,张燕平.控制燃料受限下离散线性系统能控域的研究*[J].控制理论与应用,1992,9(3):224~231.[点击复制]
CHEN Hui, CHEN Zhaokuan and ZHANG Yanpin.A Study of the Controllable Region for the Discrete-Time Linear System with the Constraint of the Control Fuel[J].Control Theory and Technology,1992,9(3):224~231.[点击复制]
控制燃料受限下离散线性系统能控域的研究*
A Study of the Controllable Region for the Discrete-Time Linear System with the Constraint of the Control Fuel
摘要点击 962  全文点击 447  投稿时间：1990-09-14  修订日期：1991-06-17
查看全文  查看/发表评论  下载PDF阅读器
DOI编号  
  1992,9(3):224-231
中文关键词  控制燃料受限  离散线性系统  能控域
英文关键词  the constraint of the control fuel  the discrete-time linear system  the controllable region
基金项目  
作者单位
陈辉,陈兆宽,张燕平 山东大学数学系 
中文摘要
      本文讨论控制燃料受限下离散线性系统能控域问题。文中籍助于矩量论方法与线性系统分解技巧得到了能控域的结构性定理，该定理除与系统的Jordan分解有关外，还与状态矩阵的特殊值有关。此外，文中还给出了判别任给状态是否属于能控域的显式判别条件。这些结果在实际应用中是有用的。
英文摘要
      In this paper, we discusses the problem of the controllable region for the discrete-time linear system with the constraint of the control fuel. The theorem of the structure of the controllable region is obtained by using the method of the moment theory and the decomposition technique of the linear system. This theorem is not only concerned with the Jordan decomposition of the linear system, but is also associated with the eigenvalue of the state matrix. Besides, in this paper we also give an explicit condition which can be used to judge whether an arbitrary given state is in the controllable region. All these results may be useful in the practical application.