Quasi-sure exponential stabilization of stochastic systems driven by G-Lévy Process with discrete time feedback control
Year: 2025
Type: article
Abstract: In this paper, we use discrete stochastic feedback control to stabilize an unstable system. We prove that there exists a discrete step size $ \overline{\tau}>0 $ with $ \tau<\overline{\tau} $ such that the responding stochastically controlled system is mean square and quasi-sure exponentially stable. We give an example to show the validity of the control strategy.
DOI: 10.3934/mcrf.2025020
Authors: Bingjun Wang, Hongjun Gao, Mingxia Yuan
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408500182