带有通信噪声的随机时延复杂动态网络的H1 控制

doi:10.3969/j.issn.0255-8297.2014.06.014

应用科学学报 ›› 2014, Vol. 32 ›› Issue (6): 639-644.doi: 10.3969/j.issn.0255-8297.2014.06.014

带有通信噪声的随机时延复杂动态网络的H1 控制

韦庆阳，樊春霞，顾瑜

南京邮电大学自动化学院，南京210003

收稿日期:2012-11-01 修回日期:2014-09-09 出版日期:2014-11-28 发布日期:2014-09-09
作者简介:樊春霞，博士，副教授，研究方向：复杂网络理论及其应用，E-mail: njfcx@126.com
基金资助:
国家自然科学基金(No.61104103, No.612030208, No.61374180)；江苏省高校自然科学基金(No.10KJB120001)；南京邮电大学
攀登计划基金(No.NY210013, No.NY210014)资助

H1 Control of Complex Dynamical Networks with Communication Noise and Random Time-Delays

WEI Qing-yang, FAN Chun-xia, GU Yu

College of Automation, Nanjing University of Posts and Telecommunication, Nanjing 210003, China

Received:2012-11-01 Revised:2014-09-09 Online:2014-11-28 Published:2014-09-09

摘要/Abstract

摘要： 考虑到复杂动态网络节点之间信息传输不可避免地受到信道噪声干扰以及传输时延的随机发生，提出了
一种新的控制策略，使复杂动态网络在均方意义下渐近稳定，且满足一定的H1 性能指标. 将复杂动态网络的节
点信息在传输过程中存在的时延描述成Markov 链形式，利用Lyapunov 稳定性理论、随机分析理论与H1 控制
方法，建立了随机时延复杂动态网络控制器存在准则. 最后，以Lorenz 混沌系统作为节点动力学，构造复杂动态
网络，并且用数值仿真的方法验证了所提出的控制器能够将具有随机时延且受到通信噪声扰动的复杂动态网络渐
近稳定在平衡点，满足一定H1 性能指标要求.

关键词: 复杂动态网络, H1 控制, 随机时延, 李雅普诺夫函数

Abstract: A novel H1 control strategy is proposed to stabilize complex networks coupled with communication
noise and random time delays. Time delays in the node’s information transmitted over the network can be
described with Markov chains. Based on the theories of Lyapunov stability and stochastic analysis, and using
an H1 control approach, a criterion for the controller design is derived. Numerical simulation shows that the
proposed controller is valid in stabilizing complex networks in which a chaotic Lorenz system is used as the
node dynamics, and a certain H1 index is satisfied.

Key words: complex dynamical networks, H1 control, random time-delay, Lyapunov function

中图分类号:

TP273

韦庆阳，樊春霞，顾瑜. 带有通信噪声的随机时延复杂动态网络的H1 控制[J]. 应用科学学报, 2014, 32(6): 639-644.

WEI Qing-yang, FAN Chun-xia, GU Yu. H1 Control of Complex Dynamical Networks with Communication Noise and Random Time-Delays[J]. Journal of Applied Sciences, 2014, 32(6): 639-644.

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带有通信噪声的随机时延复杂动态网络的H1 控制

H1 Control of Complex Dynamical Networks with Communication Noise and Random Time-Delays

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