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正控制总量受限下离散线性系统的能控域
引用本文:陈兆宽, 陈辉. 正控制总量受限下离散线性系统的能控域. 自动化学报, 1994, 20(6): 718-722.
作者姓名:陈兆宽  陈辉
作者单位:1.山东大学数学系,济南
摘    要:本文研究正控制总量受限下一类多输入离散线性系统的能控域问题.利用线性系统的分解技巧、凸集的支撑超平面与阶的估计等方法,得到了能控域的结构性定理,还给出了状态属于能控域的显式判别条件,这些结果在工程控制与社会经济系统中是有实用价值的.

关 键 词:正控制   总量受限   线性系统   能控域
收稿时间:1992-02-29

Controllable Region for Discrete Linear System with Contraint on Bounded Positive Control
Chen Zhaokuan, Chen Hui. Controllable Region for Discrete Linear System with Contraint on Bounded Positive Control. ACTA AUTOMATICA SINICA, 1994, 20(6): 718-722.
Authors:Chen Zhaokuan  Chen Hui
Affiliation:1. Mathematics Department of Shandong University,Jinan
Abstract:In this paper, the problem of controllable region for discrete-time linear systemwith several positive control input limited sum total is studied. The decompositiontechnique of linear system, the support hyperplane of convex set and the estimatingmethod of the order is used. The structural theorem not only has been obtained, butthe explicit criteria condition which deduces whether the state belongs to controllable region also has been obtained. These results are useful in the engineering socialand economic systems.
Keywords:Positive control  constraint limited sum total  Linear system   controllable region.
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