Optimal feedback control problems for a semi-linear neutral retarded integro-differential system

被引：0

作者：

Huang, Hai ^{[1
]}

Feng, Tingting ^{[1
]}

Fu, Xianlong ^{[2
,3
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou, Zhejiang, Peoples R China

[2] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai, Zhejiang, Peoples R China

[3] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2024年 / 97卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Neutral integro-differential system; resolvent operator; fractional power operator; optimal feedback control; QUADRATIC OPTIMAL-CONTROL; TIME-OPTIMAL CONTROL; RESOLVENT OPERATORS; EVOLUTION-EQUATIONS; INTEGRAL-EQUATIONS; PROBLEMS DRIVEN; EXISTENCE; CONTROLLABILITY; SENSITIVITY; INCLUSIONS;

D O I：

10.1080/00207179.2023.2181650

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article considers the optimal and time optimal feedback control problems for a semi-linear neutral retarded integro-differential system. The existence of mild solutions and feasible pairs for the considered system is studied by applying theory of resolvent operators for linear neutral integro-differential evolution systems, fractional powers of operators and Schauder fixed point theorem. Then the Lagrange optimal feedback control problem for the system is investigated via limit arguments under some suitable assumptions. The time optimal feedback control problem is proposed and discussed deliberately here as well. An example is presented in the end to illustrate the obtained results.

引用

页码：896 / 909

页数：14

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