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.
出处
《控制工程》
CSCD
北大核心
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)
关键词
生存域
微分包含
混杂系统
混杂微分包含
viability
differential inclusions
hybrid systems
impulse differential inclusions
