一维控制系统的最大生存域及人口模型  

The Maximal Viability for One-dimensional Control Systems and the Population Model

作　　者：陈征[1,2] 高岩[1] 

机构地区：[1]上海理工大学管理学院,上海200093 [2]宁波工程学院理学院,浙江宁波315016

出　　处：《控制工程》2013年第3期540-543,552,共5页Control Engineering of China

基　　金：National Science Foundation of China(11171221;40901241);Zhejiang Province Department of Education Scientific Research Project(Y201016275)

摘　　要：研究了控制系统的生存性问题.给出了一维微分包含的生存域求法,用优化方法给出了系统的最大生存域,并将相应结果推广到一维混杂微分包含的生存域情形。基于混杂微分包含建立了一种混杂人口模型,此模型的优点在于可以描述人口的突增或突减,然后针对此模型给出了控制人口数量的方法。最后以北京市人口增长为例说明了模型的有效性。It is devoted to the viability of control systems. The computation of the viability for a differential inclusion in the one dimensional space is given, and the maximal viable set is presented via optimization method. Then the result is extended to a hybrid system. A population hybrid model is proposed based on an impulse differential inclusion which can describe the abrupt increasing or decreasing population. Finally, a method of controlling the population is presented by means of the result on the hybrid system, and Beijing is taking as an example to illustrate it.

关 键 词：生存域 微分包含 混杂系统 混杂微分包含 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]