具size结构单种群系统的最优化控制问题  

Optimal Control Problem for Size-dependent Single Population System

作　　者：巴争刚[1] 尹雪文[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《洛阳理工学院学报（自然科学版）》2013年第2期77-80,92,共5页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

基　　金：国家自然科学基金资助项目(11061017);甘肃省自然科学基金资助项目(1010RJZA075)

摘　　要：考虑了一类具size结构种群系统的最优控制问题,利用特征线法给出了系统的形式解,并证明了系统解的存在唯一性,然后根据法锥和其共扼系统技巧推导出了最优性条件,从而推广了一些文献工作。The optimal control problem of a class of size-dependent population system has been discussed and the form solution has been worked out through the method of characteristic. After the demonstration of the uniqueness of the form solution, the optimal conditions have been deduced according to the method of cone and its conjugate system techniques, which generalizes some literature work.

关 键 词：size结构的生物种群系统 特征方程 共轭系统 最优性条件 

分 类 号：O22[理学—运筹学与控制论]