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Research Article | Open Access

Stabilization of stochastic systems driven by G-Lévy process via discrete-time feedback control

Guanghua Wei1( ), Bingjun Wang1,2( ), Mingxia Yuan3
Jinling Institute of Technology, Nanjing, 211169, China
Jiangsu Key Lab for NSLSCS, Nanjing Normal University, Nanjing, 210023, China
Nanjing Vocational Institute of Transport Technology, Nanjing, 211188, China
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Abstract

In this paper, we establish sufficient conditions for the mean square and quasi-sure exponential stability of stochastic differential equations driven by the G-Lévy process under discrete-time feedback control in the drift term. Departing from the conventional Lyapunov-based approach, we propose a comparative method to analyze the stabilization effect of the designed control. An example validates the effectiveness of the proposed control strategy.

Keywords

G-Lévy processdiscrete-time feedbackstability
CLC number: 60H05, 60H10, 60H20

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AIMS Mathematics
Volume 10 Issue 12,
December 2025
Pages 29151-29167
DOI: 10.3934/math.20251282

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Cite this article:
Wei G, Wang B, Yuan M. Stabilization of stochastic systems driven by G-Lévy process via discrete-time feedback control. AIMS Mathematics, 2025, 10(12): 29151-29167. https://doi.org/10.3934/math.20251282

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Received: 09 September 2025
Revised: 16 November 2025
Accepted: 03 December 2025
Published: 11 December 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)