Mild solution and controllability of second-order non-local retarded semilinear systems

被引：9

作者：

Kumar, Suman ^{[1
]}

Tomar, Nutan Kumar ^{[1
]}

机构：

[1] Indian Inst Technol Patna, Dept Math, Patna, Bihar, India

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2020年 / 37卷 / 01期

关键词：

second-order systems; controllability; cosine families; delay differential equations; APPROXIMATE CONTROLLABILITY;

D O I：

10.1093/imamci/dny037

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 paper presents a study on a family of second-order retarded semilinear control systems with non-local delay condition. The existence and uniqueness of mild solution has been deduced using the famous Banach contraction principle. An inclusion relation between the reachable set of semilinear control system and that of the associated linear system has been established. Finally, one example has been described to demonstrate the application of the proposed results.

引用

页码：39 / 49

页数：11

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