[1]王 科,周中成,颜文勇,等.梯度遗传算法对一类非平滑优化问题的应用[J].四川师范大学学报(自然科学版),2018,(05):641-647.[doi:10.3969/j.issn.1001-8395.2018.05.012]
 WANG Ke,ZHOU Zhongcheng,YAN Wenyong,et al.The Application of Gradient Genetic Algorithm for a Class of Non-smooth Optimal Control Problem[J].Journal of SichuanNormal University,2018,(05):641-647.[doi:10.3969/j.issn.1001-8395.2018.05.012]
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梯度遗传算法对一类非平滑优化问题的应用()
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《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
期数:
2018年05期
页码:
641-647
栏目:
基础理论
出版日期:
2018-06-15

文章信息/Info

Title:
The Application of Gradient Genetic Algorithm for a Class of Non-smooth Optimal Control Problem
文章编号:
1001-8395(2018)05-0641-07
作者:
王 科1 周中成2 颜文勇1 肖 翔3
1.成都工业学院 信息与计算科学系, 四川 成都 611730; 2.西南大学 数学与统计学院, 重庆 400715; 3.湖南师范大学 商学院, 湖南 长沙 410000
Author(s):
WANG Ke1 ZHOU Zhongcheng2 YAN Wenyong1 XIAO Xiang3
1.Department of Information and Computational Science, Chengdu Technological University, Chengdu 611730, Sichuan; 2.School of Mathematics and Statistics, Southwest University, Chongqing, 400715; 3.School of Business, Hunan Normal University, Changsha 41
关键词:
非平滑优化问题 脉冲系统 梯度遗传算法(GGA)
Keywords:
non-linear dynamic optimization problems impulsive system gradient genetic algorithm(GGA).
分类号:
O231
DOI:
10.3969/j.issn.1001-8395.2018.05.012
文献标志码:
A
摘要:
提出一种求解非平滑优化问题的计算方法,通过引入约束将非平滑的优化问题转化为平滑的优化问题,以便使用梯度遗传算法(GGA)求解,充分利用遗传算法的自由性来找到一个初始最优解,并通过梯度算法进行快速的改进,最后,通过一个计算实例验证了结论.
Abstract:
This paper presents a computational approach for solving non-linear dynamic optimization problems in which the objective function is a discontinuous function.We transform the non-linear dynamic optimization problem into an optimization problem with smooth objective function by introducing constraints so that it can be solved with gradient genetic algorithm(GGA).This paper makes full use of the freedom provided by genetic algorithm(GA)to find an initial guess, and improves the value via the gradient-based method.Finally, we conclude this paper with a numerical example.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2017-02-08 接受日期:2017-11-06
基金项目:国家自然科学基金(11671326)和四川省教育厅自然科学基金(13ZB0044)
第一作者简介:王 科(1977—),男,副教授,主要从事模型与算法、数据分析、优化控制等方面的研究,E-mail:wke1@cdtu.edu.cn
更新日期/Last Update: 2018-04-15