OPTIMAL FEEDBACK CONTROL OF HILFER FRACTIONAL EVOLUTION INCLUSIONS INVOLVING HISTORY-DEPENDENT OPERATORS

被引：0
|
作者：
Luo, Ricai [1 ]
Hou, Lin [2 ,3 ]
Zhao, Jing [2 ]
机构：
[1] Hechi Univ, Sch Math & Phys, Yizhou 456300, Peoples R China
[2] Guangxi Univ Finance & Econ, Sch Math & Quantitat Econ, Nanning 530003, Guangxi, Peoples R China
[3] Guangxi Minzu Univ, Sch Math & Phys, Nanning 530006, Guangxi, Peoples R China
来源：
MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 02期
关键词：
Hilfer fractional inclusion; feedback control system; feasible pair; optimal control; CONTROLLABILITY;
D O I：
10.18514/MMN.2023.4109
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to study the feedback control systems governed by Hilfer fractional evolution inclusions involving history-dependent operators. We first show a priori estimates of the solutions to the fractional feedback control system. Then, by using the well-known Bohnenblust-Karlin fixed point theorem, we prove an existence theorem for the fractional feedback control system. Finally, we consider an optimal control problem driven by the fractional feedback control system, and establish its solvability.
引用
收藏
页码：877 / 892
页数：16
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