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

Author

Listed:
  • Tan, Cheng
  • Di, Jianying
  • Zhang, Zhengqiang
  • Chen, Ziran
  • Wong, Wing Shing

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.

Suggested Citation

  • Tan, Cheng & Di, Jianying & Zhang, Zhengqiang & Chen, Ziran & Wong, Wing Shing, 2024. "Finite-time stabilization of mean-field systems with uncertain parameters, multiple disturbances and delays," Applied Mathematics and Computation, Elsevier, vol. 469(C).
    • Handle: RePEc:eee:apmaco:v:469:y:2024:i:c:s009630032400016x
    DOI: 10.1016/j.amc.2024.128544
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