Numerical solution to the optimal birth feedback control of a population dynamics: viscosity solution approach

doi:10.1002/oca.759

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	Numerical solution to the optimal birth feedback control of a population dynamics: viscosity solution approach
	Guo, BZ; Sun, B
	2005-09-01
发表期刊	OPTIMAL CONTROL APPLICATIONS & METHODS
ISSN	0143-2087
卷号	26 期号:5 页码:229-254
摘要	This paper is concerned with the optimal birth control of a McKendrick-type age-structured population dynamic system. We use the dynamic programming approach in our investigation. The Hamilton-Jacobi-Bellman equation satisfied by the value function is derived. It is shown that the value function is the viscosity solution of the Hamilton-Jacobi-Bellman equation. The optimal birth feedback control is found explicitly through the value function. A finite difference scheme is designed to obtain the numerical solution of the optimal birth feedback control. The validity of the optimality of the obtained control is verified numerically by comparing with different controls under the same constraint. All the data utilized in the computation are taken from the census of the population of China in 1989. Copyright (c) 2005 John Wiley & Sons, Ltd.
关键词	population dynamics Hamilton-Jacobi-Bellman equation viscosity solution finite difference scheme optimal feedback control
DOI	10.1002/oca.759
语种	英语
WOS研究方向	Automation & Control Systems ; Operations Research & Management Science ; Mathematics
WOS类目	Automation & Control Systems ; Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000232838600001
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1259
专题	系统科学研究所
通讯作者	Guo, BZ
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 4.Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Guo, BZ,Sun, B. Numerical solution to the optimal birth feedback control of a population dynamics: viscosity solution approach[J]. OPTIMAL CONTROL APPLICATIONS & METHODS,2005,26(5):229-254.
APA	Guo, BZ,&Sun, B.(2005).Numerical solution to the optimal birth feedback control of a population dynamics: viscosity solution approach.OPTIMAL CONTROL APPLICATIONS & METHODS,26(5),229-254.
MLA	Guo, BZ,et al."Numerical solution to the optimal birth feedback control of a population dynamics: viscosity solution approach".OPTIMAL CONTROL APPLICATIONS & METHODS 26.5(2005):229-254.