Academic Report of School of Mathematical Sciences [2025] No. 107

(Series Report for High-Level University Construction No. 1209)

Title: Stabilization of stochastic nonlinear delay systems driven by Lévy processes

Speaker: Professor Zhu Quanxin (Hunan Normal University)

Time: 16:00-18:00, November 9, 2025 (Sunday)

Location: Huixing Building Room 514

Abstract:

In this talk, we address the stabilization problem for a class of stochastic nonlinear delay systems driven by Lévy processes. By introducing a novel event-triggered strategy and employing techniques from stochastic analysis, we establish sufficient conditions for the practical pth moment exponential stability of the closed-loop system. Unlike many existing works, our approach does not rely on the global Lipschitz condition or linear matrix inequalities (LMIs). Moreover, in contrast to results focusing either on discrete-time stochastic systems or on continuous-time systems with Brownian motion alone, our study specifically targets the event-triggered sampling control of continuous-time systems subject to both time delays and Lévy noise, which encompasses both diffusion and jump components. This leads to a more general framework with broader applicability.

Speaker Profile:

Zhu Quanxin, Ph.D., is a Second-Class Professor, a Xiaoxiang Distinguished Professor at Hunan Normal University, a Doctoral Supervisor, and an expert receiving special government allowances from the State Council. He is also a leading scientific and technological innovation talent in Hunan Province, a Furong Distinguished Professor of Hunan Province, a Senior Research Fellow of the Alexander von Humboldt Foundation, Germany, Deputy Director of the Key Laboratory of Computing and Stochastic Mathematics of the Ministry of Education, and Director of the Hunan Provincial University Key Laboratory for Control and Optimization of Complex Systems. He is a Senior Member of IEEE and a Senior Member of the Chinese Association of Automation. His research primarily focuses on Markov processes, stability and control theory of stochastic nonlinear systems, and their applications. He has published over 200 SCI-indexed papers in top international control journals such as Automatica, IEEE Transactions on Automatic Control, and SIAM Journal on Control and Optimization. His honors include the First Prize of the Hunan Provincial Natural Science Award (first completer), the First Prize of the Jiangsu Provincial College Natural Science Award (first completer), Highly Cited Researcher globally for six consecutive years (2018-2023), Top 0.05% of Scholars worldwide (2024), Top 2% of Scientists worldwide for five consecutive years (2020-2024), Highly Cited Chinese Researcher by Elsevier for eleven consecutive years (2014-2024), the "Youth Science and Technology Award" from the Chinese Operations Research Society, China's Top 100 "Most Influential International Academic Papers", and the Jiangsu Mathematics Achievement Award. He has presided over six projects of the National Natural Science Foundation of China and ten provincial/ministerial-level projects. He serves as a Standing Director of the Chinese Engineering Probability and Statistics Society, a Director of the Chinese Probability and Statistics Society, a member of the Control Theory Committee of the Chinese Association of Automation, a member of the Systems and Control Mathematics Committee of the Chinese Society of Industrial and Applied Mathematics, a member of the Adaptive Dynamic Programming and Reinforcement Learning Committee of the Chinese Association of Automation, and a member of the TCCT Stochastic Systems and Control Group. He is the Editor-in-Chief of the international journal Complex Systems Stability & Control and serves as an Associate Editor or editorial board member for six international SCI journals, including IEEE Transactions on Automation Science and Engineering.

All faculty and students are welcome!

Host: Jiang Chunfu

School of Mathematical Sciences

November 3, 2025