Synchronized stationary distribution and synchronization for memristor-based complex networks via intermittent control

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.

Keywords:

• Aperiodically intermittent control
• memristor-based complex networks
• synchronized stationary distribution
• memristor-based coupled Chua's circuits

2010 Mathematics Subject Classifications:

• 93E03
• 58Z05

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.

Additional information

Funding

This work was supported by Shandong Province Natural Science Foundation (Grant Numbers ZR2018MA005, ZR2018MA020, ZR2017MA008); the Key Project of Science and Technology of Weihai (Grant Number 2014DXGJMS08), the Project of Shandong Province Higher Educational Science and Technology Program of China (Grant Number J18KA218) and the Innovation Technology Funding Project in Harbin Institute of Technology (Grant Number HIT.NSRIF.201703).