Nonfragile Finite-Time Stabilization for Discrete Mean-Field Stochastic Systems

作者：Zhang, Tianliang; Deng, Feiqi^*; Shi, Peng

来源：IEEE Transactions on Automatic Control, 2023, 68(10): 6423-6430.

DOI：10.1109/TAC.2023.3238849

• Finite-time stabilization
• nonfragile control
• state-transition matrix (STM)
• stochastic systems

In this article, the problem of nonfragile finite-time stabilization for linear discrete mean-field stochastic systems is studied. The uncertain characteristics in control parameters are assumed to be random satisfying the Bernoulli distribution. A new approach called the "state-transition matrix method" is introduced and some necessary and sufficient conditions are derived to solve the underlying stabilization problem. The Lyapunov theorem based on the state-transition matrix also makes a contribution to the discrete finite-time control theory. One practical example is provided to validate the effectiveness of the newly proposed control strategy.

• 单位
  南京理工大学