测度链上分数阶动力方程的最优控制问题

兰州理工大学学报 ›› 2022, Vol. 48 ›› Issue (2): 151-155.

测度链上分数阶动力方程的最优控制问题

任秋艳^*1,2, 杨巧玲¹

1.兰州理工大学电气工程与信息工程学院, 甘肃兰州 730050;
2.兰州财经大学信息工程学院, 甘肃兰州 730020

收稿日期:2021-01-15 出版日期:2022-04-28 发布日期:2022-05-07
通讯作者: 任秋艳(1984-),女,甘肃庆阳人,博士,讲师.Email:renqiuyanzi@126.com
基金资助:
国家自然科学基金(51767018)

An optimal control problem governed by fractional order dynamic equation on time scales

REN Qiu-yan^1,2, YANG Qiao-ling¹

1. College of Electrical and Information Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China;
2. College of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou 730020, China

Received:2021-01-15 Online:2022-04-28 Published:2022-05-07

摘要/Abstract

摘要： 通过给相关函数适当的条件,对于任意给定的控制策略, 获得非线性分数阶控制系统唯一解的存在性,并且研究测度链上分数阶动力方程最优控制问题最优解的存在性.

关键词: 测度链, 分数阶动力方程, 最优控制问题, 最优解, 存在性

Abstract: By imposing some suitable conditions on the related functions, for any given control policy, the existence of a unique solution for the nonlinear fractional order controlled system can be obtain. Moreover, the existence of an optimal solution for the optimal control problem governed by fractional order dynamic equation on time scales is studied.

Key words: time scale, fractional order dynamic equation, optimal control problem, optimal solution, existence

中图分类号:

O232

任秋艳, 杨巧玲. 测度链上分数阶动力方程的最优控制问题[J]. 兰州理工大学学报, 2022, 48(2): 151-155.

REN Qiu-yan, YANG Qiao-ling. An optimal control problem governed by fractional order dynamic equation on time scales[J]. Journal of Lanzhou University of Technology, 2022, 48(2): 151-155.

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