Approximate Controllability of Semilinear Stochastic Generalized Systems in Hilbert Spaces

Zhaoqiang Ge

doi:10.3390/math10173050

journal article Open Access Aug 24, 2022

Approximate Controllability of Semilinear Stochastic Generalized Systems in Hilbert Spaces

Zhaoqiang Ge

Mathematics Vol. 10 No. 17 pp. 3050 · MDPI AG

View at Publisher Save 10.3390/math10173050

Abstract

Approximate controllability of two types of nonlinear stochastic generalized systems is investigated in the sense of mild solution in Hilbert spaces. Firstly, the approximate controllability of semilinear stochastic generalized systems with control only acting on the drift terms is discussed by GE-evolution operator and Nussbaum fixed-point theorem. Secondly, the approximate controllability of semilinear stochastic systems with control acting on both drift and diffusion terms is handled by using GE-evolution operator and Banach fixed-point theorem. At last, two illustrative examples are given.

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Cited By

2

Controllability of Semilinear Stochastic Generalized Systems in Hilbert Spaces by GE-Evolution Operator Method

Zhaoqiang Ge · 2023

Mathematics

Metrics

2

Citations

102

References

Details

Published: Aug 24, 2022
Vol/Issue: 10(17)
Pages: 3050
License: View

Authors

Z

Zhaoqiang Ge

School of Mathematics and Statistics, Xi’an Jiaotong University, No. 28, Xianning West Road, Xi’an 710049, China

Funding

National Natural Science Foundation of China Award: 12126401

Cite This Article

Zhaoqiang Ge (2022). Approximate Controllability of Semilinear Stochastic Generalized Systems in Hilbert Spaces. Mathematics, 10(17), 3050. https://doi.org/10.3390/math10173050

Approximate Controllability of Semilinear Stochastic Generalized Systems in Hilbert Spaces

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