Numerical solution to the optimal birth feedback control of a population dynamics: viscosity solution approach
文献类型：期刊论文
| 作者 | Guo, BZ ; Sun, B
|
| 刊名 | OPTIMAL CONTROL APPLICATIONS & METHODS
 |
| 出版日期 | 2005-09-01 |
| 卷号 | 26期号:5页码:229-254 |
| 关键词 | population dynamics Hamilton-Jacobi-Bellman equation viscosity solution finite difference scheme optimal feedback control |
| ISSN号 | 0143-2087 |
| DOI | 10.1002/oca.759 |
| 英文摘要 | 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. |
| WOS研究方向 | Automation & Control Systems ; Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000232838600001 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1258]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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