Random network system containment synchronization stability analysis method based on spectral moments
A random network and analysis method technology, applied in transmission systems, digital transmission systems, data exchange networks, etc., can solve problems such as the lack of dynamic evolution characteristics of network structures, the randomness of connected edges, and the limitations of research results
Active Publication Date: 2020-11-03
东北大学秦皇岛分校
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Most of the existing research on the problem of pinning synchronization in complex networks assumes that the network is a static network with a fixed structure obtained after a certain period of evolution, and the dynamic evolution characteristics of the network structure and the randomness of the edges are not directly reflected in the dynamic system model. The corresponding research results are very limited in practical applications, so a new analysis method is needed to fully reflect the dynamic evolution characteristics of the actual network and the randomness of edge generation
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[0047] The specific embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings.
[0048] In this embodiment, a flow chart of a random network system pinning synchronization stability analysis method based on spectral moments, as shown in figure 1 shown, including the following steps:
[0049] Step 1: Construct a random network with N nodes according to the random graph model construction algorithm, each node in the network represents a coupled oscillator, and each edge represents the interaction relationship between connected coupled oscillators;
[0050] In the random network system, a network is formed by connecting edges between nodes, and an unweighted and undirected network is considered here, and its adjacency matrix A=(A ij )∈R N×N is a symmetric matrix, A ij Represents an adjacency matrix element, R N×N Represents a set of N×N-dimensional real number matrices, and N represents the number of random network no...
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The invention provides a random network system containment synchronization stability analysis method based on spectral moments, and relates to the technical field of control and information. The method based on a random matrix theory, studies the containment synchronization stability problem of a complex network from the perspective of dynamic evolution of an actual network structure, and analyzesthe expected spectral moment and network structure parameters of a matrix C of a containment-controlled random network. A qualitative and quantitative relationship between the containment synchronization of the random network system and node dynamics, a network structure and a control strategy is established, so a complex network control theory is further enriched and perfected, and further understanding of an evolution rule and a dynamics mechanism of a complex network system structure in the real world is facilitated; the theoretical and method guidance is provided for designing an actual network meeting expected conditions and improving various performances of an actual network system, and the method has important economic and social significance.
Description
technical field [0001] The invention relates to the field of control and information technology, in particular to a random network system pinning synchronization stability analysis method based on spectral moments. Background technique [0002] In the past two decades, the synchronization problem of complex dynamic networks has attracted more and more attention. Among them, an important issue is to determine the synchronization capability of the network, that is, the range of global coupling strength required to achieve network synchronization. By controlling some nodes in the network, all nodes in the complex network tend to be in the same state, which is called the pinning synchronization problem of the complex network. Existing research on the problem of pinning synchronization in complex networks mostly assumes that the network is a static network with a fixed structure obtained after a certain period of evolution, and the dynamic evolution characteristics of the network...
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IPC IPC(8): H04L12/24
CPCH04L41/14H04L41/145H04L41/12
Inventor 项林英余言英邬思宏韩冰心陈飞郭戈武艳芝
Owner 东北大学秦皇岛分校