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Synchronization in Singular Hybrid Complex Networks with Delayed Coupling
Jianfang Zeng #,Jinde Cao *
Department of Mathematics, Southeast University, Nanjing
*Correspondence author
#Submitted by
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Funding: 国家自然科学基金,教育部博士点基金(No.60874088 ,20070286003)
Opened online:25 May 2009
Accepted by: none
Citation: Jianfang Zeng,Jinde Cao.Synchronization in Singular Hybrid Complex Networks with Delayed Coupling[OL]. [25 May 2009] http://en.paper.edu.cn/en_releasepaper/content/32532
 
 
This paper considers synchronization problem of singular hybrid networks with coupled delay. Although, for nonsingular systems with delays, there are a number of synchronization results, the corresponding results for singular systems is still a challenging task, because of the singularity, which is the reason we are not able to utilize the Lyapunov method directly here, make singular systems much more complicated than regular systems. The singular system is regular and impulsive free. A sufficient condition for global synchronization is derived by developing a strict linear matrix inequality (LMI) designed approach. Finally, two numerical examples are provided to show the effective of the proposed conditions.
Keywords:Singular system;Linear matrix inequality (LMI);Synchronization;Delayed coupling
 
 
 

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