Analysis of random synchronization under bilayer derivative and nonlinear delay networks of neuron nodes via fixed time policies.
Journal:
ISA transactions
Published Date:
Jan 24, 2022
Abstract
In order to solve a challenging problem, i.e., fixed time synchronization of bilayer networks with derivative coupling and nonlinear delay coupling, fixed time polices are brought to achieve random synchronization for bilayer multiple weight hybrid coupled networks of neuron nodes. Being different from the synthesis method, which is often used to get theoretical conclusions from known conditions for synchronization of networks in general articles, analysis method is applied to seek parameters in fixed time controllers and sufficient conditions for synchronization from conclusions. After analysis, we obtain a relationship between coefficients of controllers and coefficients of a formula which is related to Lyapunov function. Moreover, we find that fixed settling time for synchronization is affected by the maximum eigenvalue of a matrix associated with network topology, parameters in the designed controllers and the size of networks. Finally, synchronous tests of bilayer networks of Hindmarsh-Rose (HR) neuron nodes are carried out to show the effectiveness of theoretical results.