Finite-time Clustering Synchronization and Pinning Control Method for Discontinuous Complex Networks

A complex network, limited time technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., to achieve the effect of saving time and cost

Active Publication Date: 2021-08-13
JIANGNAN UNIV
View PDF8 Cites 0 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] So far, the finite-time cluster synchronization of discontinuous complex networks, especially considering the network with time-varying delays and nonlinear coupling, has received little attention from researchers.

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Finite-time Clustering Synchronization and Pinning Control Method for Discontinuous Complex Networks
  • Finite-time Clustering Synchronization and Pinning Control Method for Discontinuous Complex Networks
  • Finite-time Clustering Synchronization and Pinning Control Method for Discontinuous Complex Networks

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0058] Below we will carry out numerical simulation examples to illustrate the effectiveness of this invention.

[0059] The present invention considers a class of discontinuous and non-identical complex networks:

[0060]

[0061] in: Represents the state vector of the i-th Lur'e system; Represents the n-th dimension component of the i-th Lur'e system state vector, represents the state vector y i (t) derivative, and is a constant matrix; the constant c 1 , c 2 is the coupling strength; the coupling matrix satisfies the dissipation condition, that is, If there is a connection between the i-th Lur’e system and the j-th Lur’e system (i≠j), then: a ij >0,b ij >0, otherwise a ij =0,b ij =0. The time-varying delay τ(t) satisfies 0≤τ(t)≤τ and the derivative of the time-varying delay The constant μ satisfies is a continuous nonlinear coupling function and is the coupled vector-valued function G(y j (t)), the n-th dimension component, is a discont...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

PUM

No PUM Login to view more

Abstract

A finite-time cluster synchronization and pinning control method for discontinuous complex networks belongs to the field of pinning controllers of information technology. First, by introducing Filippov's differential inclusion theory and measure selection theorem, the present invention designs a class of effective pinning feedback controllers that only control some nodes in the current cluster that are directly connected to other clusters. In order to effectively save the control cost, the present invention designs a class of adaptive update laws based on the feedback control strength to obtain the optimal control strength for network synchronization. Secondly, using the finite-time stability theory and the Lyapunov stability theorem, the present invention obtains the judgment conditions for the time-varying time-delay coupling and nonlinear coupling Lur'e network to achieve finite-time cluster synchronization, and gives the conditions for the network to achieve cluster synchronization. Convergence time estimate. Finally, the validity and correctness of the control scheme and synchronization criterion are verified by a numerical example simulation.

Description

technical field [0001] The invention relates to a complex network synchronization technology and belongs to the field of information technology pinning controllers. Background technique [0002] Complex network is an interdisciplinary concept, and the source of its problems is actually various practical networks, such as communication network, biological neural network, social network, power network and so on. Through the method of mathematical graph theory, these actual networks can be transformed into abstract networks composed of points and lines. By studying the generality of abstract networks and the universal method of processing, it can provide theoretical guidance for the analysis of actual networks. Therefore, it is of great practical significance to conduct in-depth research on complex networks. [0003] In most current researches on network synchronization, the time required for the network to achieve synchronization is uncertain and difficult to estimate. In p...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

Application Information

Patent Timeline
no application Login to view more
Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 汤泽高悦王艳纪志成
Owner JIANGNAN UNIV
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Try Eureka
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap