正控制总量受限下离散线性系统的能控域

CONTROLLABLE REGION FOR DISCRETE LINEAR SYSTEM WITH CONSTRAINT ON BOUNDED POSITIVE CONTROL

本文研究正控制总量受限下一类多输人离散线性系统的能控域问题．利用线性系统的分解技巧、凸集的支撑起平面与阶的估计等方法，得到了能控域的结构性定理，述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．

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.