FINITE-APPROXIMATE CONTROLLABILITY OF NONLOCAL STOCHASTIC CONTROL SYSTEMS DRIVEN BY HYBRID NOISES
Keywords:
nonlocal operator, mild solution, finite-approximate controllability, Brownian motion, Poisson jump.DOI:
https://doi.org/10.17654/0974324322010Abstract
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.
Received: December 10, 2021
Revised: January 12, 2022
Accepted: February 4, 2022
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