摘要
本文对连续人口发展模型讨论人口发展系统关于二次性能指标的最优控制,得到了相应的最大值原理。并由此得出时间最优控制所满足的必要条件。作为方法的应用。我们也对离散人口发展系统的最优控制进行了讨论,得到了与[1]同样的结果。
In this paper, we discuss the optimal control with regard toquadratic performance index of population evolution system described by continuous mathematical model, and get relevant maximal principle. Meanwhile, the necessary condition which must be satis-fied for time optimal control is derived as a consequence. Finally, as an application of method, we also discuss same optimal control problem for discrete population evolution system, and get the same results as that of reference [1].
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
1989年第Z01期1-9,共9页
Control Theory & Applications
基金
中国科学院科学基金
