Approximate controllability for a stochastic elastic system with structural damping and infinite delay-Reference-Cited by-同舟云学术

Approximate controllability for a stochastic elastic system with structural damping and infinite delay

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Peng Jiankui¹,Gao Xiang²,Su Yongbing³,Kang Xiaodong⁴

Affiliation:

1. School of Education, Lanzhou University of Arts and Science , Lanzhou 730010 , China

2. School of Digital Media, Lanzhou University of Arts and Science , Lanzhou 730010 , China

3. School of Mathematics and Physics, Lanzhou Jiaotong University , Lanzhou 730070 , China

4. School of Control and Computer Engineering, North China Electric Power University , Beijing , 102208 , China

Abstract

Abstract In this article, we study the existence of mild solutions and the approximate controllability for a class of stochastic elastic systems with structural damping and infinite delay in Hilbert spaces. The estimation of the control function is discussed, where the expression of the control function is constructed by the defined resolvent operator. Under this estimate, the existence of mild solutions for this system is obtained by the Schauder fixed point theorem and the stochastic analysis theory, and sufficient conditions for the approximate controllability are formulated and proved by using the so-called resolvent operator type condition. Finally, an example is given to illustrate the applicability of our conclusion.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2023-0116/pdf

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