| 基于最优控制理论的选举模型分析 |
| |
| 引用本文： | 欧阳小迅,沈轶.基于最优控制理论的选举模型分析[J].华中科技大学学报(自然科学版),2007,35(1):58-59,69. |
| |
| 作者姓名： | 欧阳小迅 沈轶 |
| |
| 作者单位： | 华中科技大学,控制科学与工程系,湖北,武汉,430074 |
| |
| 基金项目： | 国家自然科学基金
,
湖北省自然科学基金 |
| |
| 摘 要： | 基于变分法的局限性,在其基础上引入控制变量u,构建了一个分段时间连续的选举模型.在最优控制理论的框架下,运用最大值原理与汉密尔顿函数法对连续时间的动态优化问题进行了定量研究,求解出了控制变量与状态变量的最优时间路径,并进一步分析了控制变量(即失业率)是如何影响选举问题的.控制变量随时间表现出的周期性表明了它可以是不连续的.
|
| 关 键 词： | 最优控制 最大值原理 汉密尔顿函数 动态优化 最优 控制理论 选举模型 分析 optimal control theory based model 连续时间 周期性 时间表现 优化问题 影响 失业率 时间路径 状态变量 求解 定量研究 动态 函数法 汉密尔顿 |
| 文章编号： | 1671-4512（2007）01-0058-02 |
| 修稿时间： | 2005-06-28 |
Analysis of an election model based on optimal control theory |
| |
| Ouyang Xiaoxun,Shen Yi.Analysis of an election model based on optimal control theory[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2007,35(1):58-59,69. |
| |
| Authors: | Ouyang Xiaoxun Shen Yi |
| |
| Institution: | Department of Control Science and Enginering, Huazhong University of Science and Technology, Wuhan 430074, China |
| |
| Abstract: | Considering the limitation in calculus of variations, the authors introduce control variable with which a piecewise continuous time model of election based on calculus of variations is newly established. Under the theory of optimal control, maximum principle and Hamiltonian function are applied to finding solution to the model of dynamic optimization with continuous time. Quantitative anal- ysis is made during the process, from which optimal time paths of control variable and state variable are derived accordingly. Also, the authors analyze further how unemployment rate as the control variable affect election and indicate control variable could be incontinuous as it shows period in the model. |
| |
| Keywords: | optimal control maximum principle Hamiltonian function dynamic optimization |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
