General Decay Synchronization of State and Spatial Diffusion Coupled Reaction-diffusion Memristive Neural Networks
Yanli Huang, Xin Zhao, Jianmou Lu, Jiang Li · 2022
The purpose of this paper is to investigate the general decay synchronization (GDS) of coupled reaction-diffusion memristive neural networks (CRDMNNs) with state coupling and spatial diffusion coupling. Firstly, by devising a suitable controller and choosing an appropriate Lyapunov functional, we analyze the GDS of CRDMNNs with state coupling and derive a sufficient condition for achieving GDS of this kind of network. Secondly, a criterion for GDS of CRDMNNs with spatial diffusion coupling is also proposed by using several inequality techniques. Finally, one numerical example with simulation results is shown to demonstrate the validity of the obtained GDS result.