Finite-Time Robust Stabilization for Stochastic Neural Networks

Abstract EN

This paper is concerned with the finite-time stabilization for a class of stochastic neural networks (SNNs) with noise perturbations.

The purpose of the addressed problem is to design a nonlinear stabilizator which can stabilize the states of neural networks in finite time.

Compared with the previous references, a continuous stabilizator is designed to realize such stabilization objective.

Based on the recent finite-time stability theorem of stochastic nonlinear systems, sufficient conditions are established for ensuring the finite-time stability of the dynamics of SNNs in probability.

Then, the gain parameters of the finite-time controller could be obtained by solving a linear matrix inequality and the robust finite-time stabilization could also be guaranteed for SNNs with uncertain parameters.

Finally, two numerical examples are given to illustrate the effectiveness of the proposed design method.