Nonfragile Finite-Time Stabilization for Discrete Mean-Field Stochastic Systems
Tianliang ZhangSchool of Automation, Nanjing University of Science and Technology, Nanjing, ChinaFeiqi DengSchool of Automation Science and Engineering, South China University of Technology, Guangzhou, ChinaPeng ShiSchool of Electrical and Electronic Engineering, University of Adelaide, Adelaide, SA, Australia
2023en
ABI
Annotatsiya
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.
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