ABSTRACT

Synchronized stationary distribution and exponential synchronization analysis for stochastic memristor-based complex networks are investigated. It should be pointed out that aperiodically intermittent control is introduced to our models. Under the framework of the Lyapunov method and graph theory, the synchronized stationary distribution and the exponential synchronization of a class of complex networks modeled by memristor are investigated and some sufficient conditions are presented. The results obtained reveal aperiodically intermittent control influences a lot on the existing area for synchronized stationary distribution and the realization of the exponential synchronization. And two applications including stochastic memristor-based coupled oscillators and coupled Chua's circuits models are provided. Moreover, numerical simulations of two examples are presented to illustrate the effectiveness and availability for the theoretical results gained in this paper.

摘要

研究了基于随机忆阻器的复杂网络的同步平稳分布和指数同步分析。应该指出的是，我们的模型中引入了非周期性间歇控制。在Lyapunov方法和图论的框架下，研究了忆阻器建模的一类复杂网络的同步平稳分布和指数同步，并给出了一些充分条件。结果表明，非周期间歇控制对现有同步平稳分布区域和指数同步的实现影响很大。并提供了两种应用，包括基于随机忆阻器的耦合振荡器和耦合Chua的电路模型。而且，