A method to achieve synchronization of lur'e network clustering

Abstract

The invention relates to a method for realizing Lur'e network clustering synchronization, which includes constructing a follower Lur'e network model and confirming its leading node; obtaining state information of each leading node and establishing an error network model; transmitting adjacency to each node The state information of nodes and synchronization nodes, based on the error network model, the impulse pinning feedback controller and the adaptive update law are constructed; the impulse pinning feedback controller is affected by the impulse effect, and the impulse pinning controller is determined according to the value range of the impulse effect. Action or reaction, network cluster synchronization is realized under positive action or negative action, respectively. The present invention realizes a class of global exponential cluster synchronization with multiple time delays and nonlinear, non-identical coupling Lur'e networks by combining control strength adjustment technology and delayed pulse control.

Description

technical field [0001] The present invention relates to the technical field of network information, in particular to a method for realizing Lur'e network clustering synchronization. Background technique [0002] Over the past few decades, the clustering behavior of interconnected systems from different research fields has received increasing attention. Among the many cluster behaviors of complex networks, synchronization is undoubtedly a very important behavior. It regulates the rhythm of complex networks to force them to behave in unison. In the current literature, many important synchronization phenomena and models have been intensively studied, such as global synchronization, phase synchronization and cluster synchronization, etc. [0003] However, in some practical projects, sometimes it is only necessary to synchronize the system in each sub-network instead of the entire network. For this special case, complete synchronization will cause unnecessary waste of resources...

AI Technical Summary

Problems solved by technology

However, little attention has been paid to the delay caused by the environment in the pulse, such as Gaussian white noise, and most of the control methods are single control, which is easy to cause waste of resources and high control costs. Research on the joint use of multiple control methods less

[0005] In prior art, so far, exponential adaptive with multiple time-delays and non-linear, non-identically coupled Lur'e networks (non-linear time-delay coupled heterogeneous networks) under time-varying delayed pulse adaptive pinning control The problem of cluster synchronization has received little attention

Images