带Lévy噪声和Markov切换的随机神经网络的自适应有限时间同步分析

Finite-Time Synchronization of Stochastic Neural Networks with Markovian Switching and Lévy Noise via Adaptive Control

文章研究了具有Markov切换和Lévy噪声的随机神经网络的有限时间同步问题.利用随机Lyapunov函数方法和带Lévy噪声的Markov切换系统的有限时间稳定性定理,在自适应控制的作用下,得到系统有限时间同步的充分条件.最后,通过一个算例验证所提判据的有效性.

In this paper,the finite-time synchronization of stochastic neural networks with Markovian switching and Lévy noise is investigated.By utilizing the stochastic Lyapunov functional method and finite-time stability theorem for Markovian jumping systems with Lévy noise,sufficient conditions of finite-time synchronization are obtained via adaptive control.Finally,a numerical example is presented to verify the effectiveness of the proposed criteria.