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International Journal of General Systems Volume 44, 2015 - Issue 2: General Systems with Network-Enhanced Complexities
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Articles

Synchronization for linear singularly perturbed complex networks with coupling delays

Chenxiao CaiSchool of Automation, Nanjing University of Science and Technology, Nanjing, China.Correspondence[email protected]
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,
Jing XuSchool of Automation, Nanjing University of Science and Technology, Nanjing, China.View further author information
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Yurong LiuDepartment of Mathematics, Yangzhou University, Yangzhou, China.;The Communication Systems and Networks (CSN) Research Group, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia.View further author information
&
Yun ZouSchool of Automation, Nanjing University of Science and Technology, Nanjing, China.View further author information
Pages 240-253 | Received 21 Jul 2014, Accepted 10 Aug 2014, Published online: 01 Dec 2014
 
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Abstract

This paper is concerned with the synchronization problem about linear singularly perturbed complex network system with coupling delay. The sufficient delay-dependent conditions for the synchronization of the network are established by introducing an equivalent network system with the Lyapunov stability theory. These conditions, which are formulated in terms of linear matrix inequalities, can be solved efficiently by the LMI toolbox of MATLAB. A simulation example is provided to show the validity of the proposed the synchronization conditions of the whole network.

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China under [grant number 61104064], [grant number 61174038].

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