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.
Acknowledgements
The authors really appreciate the valuable comments of editors and the reviewer. This work was supported by Shandong Province Natural Science Foundation (Nos. ZR2018MA005, ZR2018MA020, ZR2017MA008); the Key Project of Science and Technology of Weihai (No. 2014DXGJMS08), the Project of Shandong Province Higher Educational Science and Technology Program of China (No. J18KA218) and the Innovation Technology Funding Project in Harbin Institute of Technology (No. HIT.NSRIF.201703).
Disclosure statement
No potential conflict of interest was reported by the authors.