In this paper, a class of nonlocal stochastic control systems with Brownian motions and Poisson jumps is under consideration. In the setting of suitable function spaces and under certain assumptions, the finite-approximate controllability is discussed by means of variational method. After providing some properties of the variational functional, we use Schauder Fixed Point Theorem to obtain the existence of mild solutions. Finally, the finite-approximate controllability of the systems is concluded.

nonlocal operator, mild solution, finite-approximate controllability, Brownian motion, Poisson jump.

Received: December 10, 2021; Revised: January 12, 2022; Accepted: February 4, 2022; Published: February 14, 2022

How to cite this article: Qiaobin Fu and Yongqiang Fu, Finite-approximate controllability of nonlocal stochastic control systems driven by hybrid noises, Advances in Differential Equations and Control Processes 27 (2022), 1-27. DOI: 10.17654/0974324322010

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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