Stability of a complex dynamical network model

Yuan, Weihong; Xiao-Shu, Luo; Jiang, Pinqun; Wang, Bing–Hong; Jin-Qing, Fang

doi:10.1016/j.physa.2006.07.001

Cited by 19 publications

(12 citation statements)

References 14 publications

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“…Remark 1: (2) and (3) in Assumption 1 imply that nodes in (1) contain certain similar inner dynamical behavior. These nodes can be called as similar nodes and ( ), ( ), ( ) are called as a group of similar parameters [1,21] .…”

Section: Model Of Complex Dynamical Net-work and Assumptionsmentioning

confidence: 99%

“…From an engineering view, the stabilization properties of complex dynamical networks are prerequisites towards effective applications [2] . Therefore, it is necessary and important to stabilize a complex network to its some special equilibrium.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, it is necessary and important to stabilize a complex network to its some special equilibrium. Stabilization for a dynamical network has been extensively investigated in recent years and many stabilization schemes have been proposed [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] . Wang et al investigated the stabilization and synchronization of complex dynamical networks with different dynamics of nodes by using decentralized linear control and linear matrix inequality [1] .…”

Section: Introductionmentioning

confidence: 99%

“…Although Ref. [2] studied the stability of a complex dynamical network model with inner nonlinear coupling functions, the nodes in the network were linear nodes and their dimensions were one. Ref.…”

Section: Introductionmentioning

confidence: 99%

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Decentralized stabilization for nonlinear coupled complex dynamical networks with distinct nodes

Zhang

Wang

2013

2013 25th Chinese Control and Decision Conference (CCDC)

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The stabilization for nonlinear coupled complex dynamical networks with distinct nonlinear nodes is investigated by using decentralized dynamical compensation controllers. Firstly, a dynamical network model with nonlinear similar nodes and delayed coupling functions is proposed. Then for this kind of network model, associated with some assumptions, the decentralized dynamical compensation controllers are designed for the stabilization in states of the nodes. Our stabilization schemes are also useful for the nonlinear non-delayed coupling networks. Finally, a numerical example is presented to verify the effectiveness of our theoretical results.

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Section: Model Of Complex Dynamical Net-work and Assumptionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Decentralized stabilization for nonlinear coupled complex dynamical networks with distinct nodes

Zhang

Wang

2013

2013 25th Chinese Control and Decision Conference (CCDC)

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“…Delayed neural networks, as special complex networks, have also been intensively studied by (Arik, (2004); Faydasicok and Arik, (2013); Liu, Wang and Liu, (2008a) ;Arik, (2005) ;Lu, Ho and Liu, (2007)). For instance, Yuan, Luo, Jiang, Wang and Fang, (2007) proposed the complex dynamical network model, which is always uniformly asymptotically stable about its equilibrium. Moreover, stability analysis and decentralized control problems are addressed for linear and sector-nonlinear complex dynamical networks in Duan, Wang, Chen and Huang, (2008).…”

Section: Introductionmentioning

confidence: 99%

Impulsive synchronization of Markovian jumping randomly coupled neural networks with partly unknown transition probabilities via multiple integral approach

2015

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Stabilization of Time‐Varying and Disturbed Complex Dynamical Networks with Different‐Dimensional Nodes and Uncertain Nonlinearities

Zhang

Lei

Wang

et al. 2017

Asian Journal of Control

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This paper investigates the stabilization problem for time-varying and disturbed complex dynamical networks (CDNs) with different-dimensional nodes and uncertain nonlinearities. To be consistent with the properties of real-world networks, both the disturbances of our networks and the nonlinear structures of the nodes permit are completely unknown but bounded. Furthermore, the norm bounds of the uncertain nonlinearities and disturbances (NBUND) are applied to design the stabilization controllers. When the NBUND are known in advance, some decentralized state feedback controllers are proposed to stabilize our networks. And when they are unknown, adaptive decentralized stabilization schemes are brought forward for our network models. The effectiveness and feasibility of our theoretical results are verified by two simulation examples.

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Stability of a complex dynamical network model

Cited by 19 publications

References 14 publications

Decentralized stabilization for nonlinear coupled complex dynamical networks with distinct nodes

Decentralized stabilization for nonlinear coupled complex dynamical networks with distinct nodes

Impulsive synchronization of Markovian jumping randomly coupled neural networks with partly unknown transition probabilities via multiple integral approach

Stabilization of Time‐Varying and Disturbed Complex Dynamical Networks with Different‐Dimensional Nodes and Uncertain Nonlinearities

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