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Finite time clustering synchronization and containment control method for discontinuous complex network

A complex network, limited-time technology, used in adaptive control, general control systems, control/regulation systems, etc.

Active Publication Date: 2020-12-18
JIANGNAN UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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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

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  • Finite time clustering synchronization and containment control method for discontinuous complex network
  • Finite time clustering synchronization and containment control method for discontinuous complex network
  • Finite time clustering synchronization and containment control method for discontinuous complex network

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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...

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Abstract

The invention discloses a finite time clustering synchronization and containment control method for a discontinuous complex network, and belongs to the field of information technology containment controllers. The method comprises the steps: firstly, introducing a Filippov differential inclusion theory and a measure selection theorem, wherein an effective containment feedback controller is designed, and a controller only controls part of nodes directly connected with other clusters in a current cluster, and in order to effectively save the control cost, a self-adaptive updating law is designedbased on the feedback control intensity to obtain the optimal control intensity for realizing network synchronization; secondly, by utilizing a finite time stability theory and a Lyapunov stability theorem, obtaining a judgement condition for realizing finite time clustering synchronization of the time-varying time-lag coupling and nonlinear coupling Lur'e network, and giving the convergence timeestimation for realizing clustering synchronization of the network; and finally, verifying the effectiveness and correctness of the control scheme and the synchronization criterion through 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

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 汤泽高悦王艳纪志成
Owner JIANGNAN UNIV
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