Passivity of directed and undirected complex dynamical networks with adaptive coupling weights

Jin Liang Wang; Huai Ning Wu; Tingwen Huang; Shun Yan Ren; Jigang Wu

doi:10.1109/TNNLS.2016.2558502

Passivity of directed and undirected complex dynamical networks with adaptive coupling weights

Jin Liang Wang^*
, Huai Ning Wu
, Tingwen Huang
, Shun Yan Ren
, Jigang Wu

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Tiangong University
Texas A&M University at Qatar
Guangdong University of Technology

Research output: Contribution to journal › Article › peer-review

97 Scopus citations

Abstract

A complex dynamical network consisting of N identical neural networks with reaction-diffusion terms is considered in this paper. First, several passivity definitions for the systems with different dimensions of input and output are given. By utilizing some inequality techniques, several criteria are presented, ensuring the passivity of the complex dynamical network under the designed adaptive law. Then, we discuss the relationship between the synchronization and output strict passivity of the proposed network model. Furthermore, these results are extended to the case when the topological structure of the network is undirected. Finally, two examples with numerical simulations are provided to illustrate the correctness and effectiveness of the proposed results.

Original language	English
Article number	7465830
Pages (from-to)	1827-1839
Number of pages	13
Journal	IEEE Transactions on Neural Networks and Learning Systems
Volume	28
Issue number	8
DOIs	https://doi.org/10.1109/TNNLS.2016.2558502
State	Published - Aug 2017

Keywords

Adaptive coupling weights
complex networks
passivity
synchronization

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10.1109/TNNLS.2016.2558502

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title = "Passivity of directed and undirected complex dynamical networks with adaptive coupling weights",

abstract = "A complex dynamical network consisting of N identical neural networks with reaction-diffusion terms is considered in this paper. First, several passivity definitions for the systems with different dimensions of input and output are given. By utilizing some inequality techniques, several criteria are presented, ensuring the passivity of the complex dynamical network under the designed adaptive law. Then, we discuss the relationship between the synchronization and output strict passivity of the proposed network model. Furthermore, these results are extended to the case when the topological structure of the network is undirected. Finally, two examples with numerical simulations are provided to illustrate the correctness and effectiveness of the proposed results.",

keywords = "Adaptive coupling weights, complex networks, passivity, synchronization",

author = "Wang, \{Jin Liang\} and Wu, \{Huai Ning\} and Tingwen Huang and Ren, \{Shun Yan\} and Jigang Wu",

note = "Publisher Copyright: {\textcopyright} 2012 IEEE.",

year = "2017",

month = aug,

doi = "10.1109/TNNLS.2016.2558502",

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T1 - Passivity of directed and undirected complex dynamical networks with adaptive coupling weights

AU - Wang, Jin Liang

AU - Wu, Huai Ning

AU - Huang, Tingwen

AU - Ren, Shun Yan

AU - Wu, Jigang

PY - 2017/8

Y1 - 2017/8

N2 - A complex dynamical network consisting of N identical neural networks with reaction-diffusion terms is considered in this paper. First, several passivity definitions for the systems with different dimensions of input and output are given. By utilizing some inequality techniques, several criteria are presented, ensuring the passivity of the complex dynamical network under the designed adaptive law. Then, we discuss the relationship between the synchronization and output strict passivity of the proposed network model. Furthermore, these results are extended to the case when the topological structure of the network is undirected. Finally, two examples with numerical simulations are provided to illustrate the correctness and effectiveness of the proposed results.

AB - A complex dynamical network consisting of N identical neural networks with reaction-diffusion terms is considered in this paper. First, several passivity definitions for the systems with different dimensions of input and output are given. By utilizing some inequality techniques, several criteria are presented, ensuring the passivity of the complex dynamical network under the designed adaptive law. Then, we discuss the relationship between the synchronization and output strict passivity of the proposed network model. Furthermore, these results are extended to the case when the topological structure of the network is undirected. Finally, two examples with numerical simulations are provided to illustrate the correctness and effectiveness of the proposed results.

KW - Adaptive coupling weights

KW - complex networks

KW - passivity

KW - synchronization

UR - https://www.scopus.com/pages/publications/84966495244

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DO - 10.1109/TNNLS.2016.2558502

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SN - 2162-237X

VL - 28

SP - 1827

EP - 1839

JO - IEEE Transactions on Neural Networks and Learning Systems

JF - IEEE Transactions on Neural Networks and Learning Systems

IS - 8

M1 - 7465830

ER -

Passivity of directed and undirected complex dynamical networks with adaptive coupling weights

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Keywords

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