Optimal Feedback Control Results for Hilfer Fractional Neutral Dynamical Systems with History-Dependent Operators

被引：0

作者：

Vivek, Shanmugam ^{[1
]}

Panda, Sumati Kumari ^{[2
]}

Vijayakumar, Velusamy ^{[1
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[2] GMR Inst Technol, Dept Math, Rajam 532127, Andhra Pradesh, India

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2025年 / 204卷 / 02期

关键词：

Feasible pairs; Fractional derivative; Neutral systems; Feedback control; EVOLUTION-EQUATIONS; CONTROLLABILITY; INCLUSIONS;

D O I：

10.1007/s10957-024-02586-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper presents a systematic approach for analyzing optimal feedback control systems governed by Hilfer fractional neutral evolution equations with history-dependent operators in separable reflexive Banach spaces. We initially investigate the existence of mild solutions for the system using the Darbo-Sadovskii fixed point theorem. Subsequently, feasible pairs were established by applying the Filippov theorem and the Cesari property. Furthermore, we demonstrate the existence of optimal control pairs for the associated Lagrange control problem. Finally, an illustration is provided to highlight the effectiveness of our findings.

引用

页数：23

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