Method for realizing clustering synchronization of Lur'e network

Abstract

The invention relates to a method for realizing clustering synchronization of a Lur'e network. The method comprises the following steps: constructing a follower Lur'e network model and confirming a leading node of the follower Lur'e network model; obtaining state information of each leader node and establishing an error network model; transmitting state information of adjacent nodes and synchronous nodes to each node, and constructing a pulse containment feedback controller and a self-adaptive updating law based on an error network model; the pulse containment feedback controller being influenced by the pulse effect, judging whether the pulse containment controller plays a positive role or a negative role according to the value range of the pulse effect, and realizing network clustering synchronization under the positive role or the negative role. According to the invention, the global index clustering synchronization of a class of Lur'e networks with multiple time delays, nonlinearity and non-constancy coupling is realized by combining a control intensity adjusting technology and delay pulse control.

Description

technical field [0001] The present invention relates to the field of network information technology, 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 in 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 deeply 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 systems in each sub-network instead of the entire network. For this special case, full synchronization will cause unnecessary waste of resources. In or...

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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 likely 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

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