Neural Network Based Finite-Time Stabilization for Discrete-Time Markov Jump Nonlinear Systems with Time Delays

Abstract EN

This paper deals with the finite-time stabilization problem for discrete-time Markov jump nonlinear systems with time delays and norm-bounded exogenous disturbance.

The nonlinearities in different jump modes are parameterized by neural networks.

Subsequently, a linear difference inclusion state space representation for a class of neural networks is established.

Based on this, sufficient conditions are derived in terms of linear matrix inequalities to guarantee stochastic finite-time boundedness and stochastic finite-time stabilization of the closed-loop system.

A numerical example is illustrated to verify the efficiency of the proposed technique.