H2 norm accumulation and its impact on synchronisation of complex   dynamical networks

doi:10.1080/00207170903062182

CORC > 北京大学 > 工学院

	H2 norm accumulation and its impact on synchronisation of complex dynamical networks
	Duan, Zhisheng ; Wang, Jinzhi ; Chen, Guanrong ; Huang, Lin
刊名	国际控制杂志
	2009
关键词	H2 norm Lur&apos diffusive coupling antisymmetrical coupling DECENTRALIZED CONTROL STABILITY SYSTEMS e network
DOI	10.1080/00207170903062182
英文摘要	This article addresses the H2 norm accumulation problem of linearly coupled dynamical networks. An interesting outer-coupling relationship is constructed, under which the H2 norm of the newly constructed network with column-input and row-output matrices increases exponentially fast in terms of the node number N: it increases generally much faster than 2N when N is large while the H2 norm of each node is 1. However, the H2 norm of the network with a diffusive coupling is equal to 2 N, i.e. increasing only linearly, when the network is stable, where 2 is the H2 norm of a single node. And the H2 norm of the network with antisymmetrical coupling also increases, but rather slowly, with respect to the node number N. Other networks with block-diagonal-input and block-diagonal-output matrices behave similarly. It demonstrates that the changes of H2 norms in different networks are very complicated, despite the fact that the network structures are linear. Finally, the influence of the H2 norm of the locally linearised network on the output of a network with Lur'e node dynamics is discussed, demonstrating a significant effect of the H2 norm on the network output synchronisation behaviours.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000271508000018&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Automation & Control Systems; SCI(E); EI; 3; ARTICLE; 12; 2356-2364; 82
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154958]
专题	工学院
推荐引用方式 GB/T 7714	Duan, Zhisheng,Wang, Jinzhi,Chen, Guanrong,et al. H2 norm accumulation and its impact on synchronisation of complex dynamical networks[J]. 国际控制杂志,2009.
APA	Duan, Zhisheng,Wang, Jinzhi,Chen, Guanrong,&Huang, Lin.(2009).H2 norm accumulation and its impact on synchronisation of complex dynamical networks.国际控制杂志.
MLA	Duan, Zhisheng,et al."H2 norm accumulation and its impact on synchronisation of complex dynamical networks".国际控制杂志 (2009).