【作者】 吴晓群； 赵雪漪； 吕金虎；

【Author】 WU Xiaoqun~(1,2),ZHAO Xueyi~2,LU Jinhu~(3,4) 1.State Key Laboratory of Software Engineering,Wuhan University,Wuhan 430072,P.R.China 2.School of Mathematics and Statistics,Wuhan University,Wuhan 430072,P.R.China 3.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China 4.School of Electrical and Computer Engineering,RMIT University,Melbourne,VIC 3001,Australia

【机构】 武汉大学软件工程国家重点实验室； 武汉大学数学与统计学院； 中国科学院数学与系统科学研究院； School of Electrical and Computer Engineering,RMIT University；

【摘要】 复杂网络在现实生活中的广泛存在激起了各领域学者对复杂网络的研究热潮。目前人们主要研究在网络拓扑结构预知条件下的网络特性以及同步与控制行为。然而,在自然、社会和工程实际中,网络的拓扑结构往往是未知和部分未知或者不确定的,而且,现实中噪声往往存在,所以针对含噪声的不确定复杂动力网络的结构识别具有非常重要的实际意义。本文中,我们将针对节点动力学含有随机噪声的复杂动力网络,基于随机微分方程的LaSalle不变原理,设计自适应控制器,反演网络结构。数值仿真验证了所提出方法的有效性。更多还原

【Abstract】 Complex networks widely exist in our world,thus attracts extensive attentions from the multidisciplinary nonlinear science community.Many existing papers investigated the geometric features,control and synchronization of complex dynamical networks provided with presumably known structures.While in many practical situations,the exact topology of a network is usually unknown or uncertain.Therefore,topology identification is of great importance in the research of complex networks. Moreover,noise is ubiquitous in nature and in man-made systems.Based on the LaSalle Invariance Principle of stochastic differential equation,an adaptive estimation technique is proposed to identify the exact topology of a weighted general complex dynamical network with stochastic perturbations.The validity of the proposed approach is illustrated with a coupled Duffing network.更多还原