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Non-fragile Finite-time Stabilization for Discrete Mean-field Stochastic Systems

Tianliang ZhangFeiqi DengPeng Shi
Aug 2022
摘要
In this paper, the problem of non-fragile finite-time stabilization forlinear discrete mean-field stochastic systems is studied. The uncertaincharacteristics in control parameters are assumed to be random satisfying theBernoulli distribution. A new approach called the ``state transition matrixmethod" is introduced and some necessary and sufficient conditions are derivedto solve the underlying stabilization problem. The Lyapunov theorem based onthe state transition matrix also makes a contribution to the discretefinite-time control theory. One practical example is provided to validate theeffectiveness of the newly proposed control strategy.
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