Academic Report of School of Mathematical Sciences [2026] No. 018

(Series Report for High-Level University Construction No. 1277)

Title：Recent Advances in the Stability of Stochastic Systems and Their Applications in Multi-Body Coordinated Control

Speaker：Professor Xiaofeng Zong (China University of Geosciences, Wuhan)

Time：10:00-11:00, Mar. 27, 2026

Location：Room 2331, Huiwen Building

Abstract：Multi-body systems are inevitably subject to factors such as noise and delay. This report aims to support research on the coordinated control of multi-body systems by developing a stability theory for stochastic systems. Therefore, the report will introduce recent advances in the stability of stochastic systems and their applications in the cooperative control of multi-body systems. First, for stochastic systems corresponding to multi-body systems in different environments, we construct a delay tolerance criterion based on a degenerate Lyapunov functional; Next, for the problem of multi-body consistency in additive noise environments, a novel method for analyzing the asymptotic behavior of stochastic systems with additive noise is proposed. Finally, addressing the problem of multi-body consistency in scenarios where multiplicative noise and delay coexist, a theory on the existence of positive-definite solutions for stochastic algebraic Lyapunov equations is developed, and a consistency theory for stochastic multi-agent systems with multiplicative noise is established.

Speaker Profile：Xiaofeng Zong is a professor, doctoral advisor, and associate dean at the School of Automation, China University of Geosciences (Wuhan). He is a National-Level Young Talent and a Chutian Scholar of Hubei Province. He received his Ph.D. in Science from Huazhong University of Science and Technology in 2014; in July 2014, he served as a postdoctoral researcher at the Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences; in September 2015, he was invited (with funding provided by the host institution) to visit Wayne State University in the United States; and in October 2016, he was appointed as a professor at the School of Automation, China University of Geosciences (Wuhan). His research focuses on stochastic system control and privacy protection, as well as swarm intelligence and robotic systems. He has led four projects funded by the National Natural Science Foundation of China and has received honors including the University’s Top Ten Outstanding Young Scholars and Outstanding Communist Party Member. He has published over 90 academic papers in journals such as IEEE Transactions on Automatic Control, Automatica, and the SIAM Journal on Control and Optimization.

Faculty and students are welcome to attend!

Invited by: Yuanzhuo Song

School of Mathematical Sciences

March 25, 2026