Optimal feedback control for a class of fractional evolution equations with history-dependent operators

被引：28
|
作者：
Liu, Yongjian [1 ]
Liu, Zhenhai [2 ]
Peng, Sisi [2 ]
Wen, Ching-Feng [3 ,4 ]
机构：
[1] Yulin Normal Univ, Sch Math & Stat, Yulin 537000, Guangxi, Peoples R China
[2] Guangxi Minzu Univ, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Guangxi, Peoples R China
[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 80708, Taiwan
[4] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 80708, Taiwan
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2022年 / 25卷 / 03期
关键词：
Optimal feedback control; History-dependent operators; Fractional order derivatives; Feasible pair; VARIATIONAL-INEQUALITIES; HEMIVARIATIONAL INEQUALITIES; SENSITIVITY-ANALYSIS; CONTROL-SYSTEMS; PROBLEMS DRIVEN; CONTROLLABILITY;
D O I：
10.1007/s13540-022-00054-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will study optimal feedback control problems derived by a class of Riemann-Liouville fractional evolution equations with history-dependent operators in separable reflexive Banach spaces. We firstly introduce suitable hypotheses to prove the existence and uniqueness of mild solutions for this kind of Riemann-Liouville fractional evolution equations with history-dependent operators. Then, by introducing a feedback iterative technique and applying Filippov theorem, we show the existence of feasible pairs and optimal control pairs of the optimal feedback control systems with history-dependent operators. Finally, we give some applications to illustrate our main results.
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页码：1108 / 1130
页数：23
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