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.
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.
作者
任秋艳
杨巧玲
REN Qiu-yan;YANG Qiao-ling(College of Electrical and Information Engineering,Lanzhou Univ.of Tech.,Lanzhou 730050,China;College of Information Engineering,Lanzhou University of Finance and Economics,Lanzhou 730020,China)
出处
《兰州理工大学学报》
CAS
北大核心
2022年第2期151-155,共5页
Journal of Lanzhou University of Technology
基金
国家自然科学基金(51767018)。
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
time scale
fractional order dynamic equation
optimal control problem
optimal solution
existence
