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| 测度链上分数阶动力方程的最优控制问题 | |
| 引用本文： | 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. |
| 作者姓名： | 任秋艳 杨巧玲 |
| 作者单位： | 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 |
| 基金项目： | 国家自然科学基金(51767018) |
| 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 |
| 收稿时间： | 2021-01-15 |
An optimal control problem governed by fractional order dynamic equation on time scales |
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| 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. | |
| Authors: | REN Qiu-yan YANG Qiao-ling |
| Institution: | 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 |
| 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. |
| Keywords: | time scale fractional order dynamic equation optimal control problem optimal solution existence |
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