| 关于求解凹函数全局优化问题的最优控制方法 |
| |
| 引用本文： | 朱经浩,张洁.关于求解凹函数全局优化问题的最优控制方法[J].同济大学学报(自然科学版),2011,39(12):1877-1879. |
| |
| 作者姓名： | 朱经浩 张洁 |
| |
| 作者单位： | 同济大学数学系,上海,200092 |
| |
| 基金项目： | 国家自然科学基金项目（项目编号）10671145 |
| |
| 摘 要： | 研究一类凹函数全局优化问题的求解方法.建立凹函数全局优化问题和相对应的最优控制问题之间的等价关系.利用Krotov沿拓法,构造辅助函数,解决了与原问题等价的的最优控制问题,并对目标函数做了一些推广.
|
| 关 键 词： | 凹函数 全局优化 最优控制 Krotov沿拓法 |
| 收稿时间： | 9/25/2010 4:57:58 PM |
| 修稿时间： | 2011/10/9 0:00:00 |
Solution to Global Optimization of Concave Function Via Optimal Control Method |
| |
| ZHU Jinghao,ZHANG Jie.Solution to Global Optimization of Concave Function Via Optimal Control Method[J].Journal of Tongji University(Natural Science),2011,39(12):1877-1879. |
| |
| Authors: | ZHU Jinghao ZHANG Jie |
| |
| Institution: | Department of Mathematics,Tongji University,Shanghai 200092,China |
| |
| Abstract: | It is studied how to get solution to global optimization of the concave function problem.The relationship equal in value between the global optimization of concave function problem and the corresponding optimal control problem is established.The result shows that,with Krotov's extension method,the solution to a kind of global optimization of concave function problem can be obtained by constructing auxiliary functions.Furthermore,the method is applied to other concave objective functions.Some examples are gi... |
| |
| Keywords: | concave function global optimization optimal control Krotov's extension method |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《同济大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《同济大学学报(自然科学版)》下载免费的PDF全文 |
|
