Finite-time stabilization of mean-field systems with uncertain parameters, multiple disturbances and delays

Cheng Tan, Jianying Di, Zhengqiang Zhang, Ziran Chen and Wing Shing Wong

Applied Mathematics and Computation, 2024, vol. 469, issue C

Abstract: The main focus of this paper is to explore the finite-time stabilization of mean-field time-varying stochastic systems that are affected by uncertain parameters, multiple disturbances, and delays. In contrast to prior studies, we present a set of sufficient conditions for achieving finite-time stability in the closed-loop model. Notably, these conditions are established based on the analysis of the state transition matrix (STM). Additionally, we address a sufficient condition based on the Lyapunov function, where the STM significantly simplifies the selection process of the Lyapunov function. Finally, we introduce a linear matrix inequality (LMI)-based approach that facilitates the computation of non-fragile controllers. The effectiveness of the developed theoretical results is verified through a stock investment model.

Keywords: Finite-time stabilization; Stochastic system; Mean-field; Time-varying; Multiple delays; Uncertain parameter (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:469:y:2024:i:c:s009630032400016x

DOI: 10.1016/j.amc.2024.128544

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