Passivity And Synchronization Of Coupled Reactive Diffusion Neural Networks With Switched Topologies

Due to their widely applications in image processing,pattern recognition,artificial intelligent and robotics,coupled neural networks have been an important topic for the-oretical investigation as well as engineering areas.In these existing works on coupled neural networks,the diffusion effects have not been considered.Strictly speaking,the diffusion phenomena could not be avoided in neural networks and electric circuits once electrons transport in a nonuniform electromagnetic field.Therefore,some scholars investigated coupled reaction-diffusion neural networks and their dynamical behaviors in recent years.Several important results were obtained.Unfortunately,in these ex-isting works on coupled reaction-diffusion neural networks,they always assume that the topology structure is fixed.However,the fixed topology is very restrictive and only reflects a few ideal situations.In many real-world networks,the connection topology may change very quickly by switches.It can be found that coupled reaction-diffusion neural networks with switching topology have not yet been studied.Based on these ex-isting works on coupled reaction-diffusion neural networks,this paper presents coupled reaction-diffusion neural networks with switching topology and investigates the passiv-ity and synchronization problems of the considered network models.In addition,the time delays cannot be neglected in the network communication for the finite velocity and traffic jam.The coupled reaction-diffusion neural networks with switching topol-ogy and time-varying delays is further investigated.The passivity and synchronization problems of the proposed network models are respectively analyzed.By utilizing the Lyapunov functional method combined with some inequality techniques,several suffi-cient conditions are established to ensure the passivity,input strict passivity and output strict passivity and synchronization of the proposed network models.The relationship between passivity and stability is uncovered.Based on the passivity results and the relationship between passivity and stability,the passivity-based synchronization crite-ria are established.Finally,several numerical examples and simulations are given to demonstrate the correctness and effectiveness of the obtained results.