一种新的常数度数的超节点拓扑结构构造

超节点网络采用两层结构组织超节点和普通节点,有利于提高网络性能和搜索效率.而起节点拓扑结构及其动态维护机制和搜索路由机制,对网络性能和搜索效率具有重要影响.针对已有超节点拓扑结构存在动态维护复杂或查询产生信息多的问题,提出一种新颖的k-Petersen拓扑结构,并利用该结构,建立一种超节点网络KPSPN,给出了KPSPN的路由和动态维护机制.它具有常数度数和固定邻接点特性,不但支持模糊查询,而且解决了结构化超节点拓扑对动态性支持差的问题.模拟结果表明:KPSPN减少了查询所带来的带宽消耗,具有更小的拓扑构造和失效修复成本.     

具有切换拓扑的时滞耦合网络的同步控制

针对一类具有耦合时滞且耦合拓扑集合给定的动态复杂网络模型存在同步的要求,传统的网络同步不能通过单一拓扑结构实现时,如何通过拓扑之间的切换来实现网络的同步.为解决上述问题,提出构建合适的Lyapunov函数给出了网络同步所需要满足的条件和相应的切换规则.进行仿真的结果与已有的研究结果相比,动态复杂网络的耦合矩阵可为一般的形式,并不需要满足同时上三角化和同时对角化等条件.仿真结果验证了结论的有效性和正确性.     

线性混合耦合切换网络的全局指数同步研究

研究具有子系统时变时延和节点间耦合时延的线性混合耦合切换网络的全局指数同步问题。应用切换系统的稳定性理论对具有特殊切换信号和切换拓扑结构的复杂动态网络的同步性问题进行研究,并以线性矩阵不等式形式给出一个时延相关的充分条件,该条件保证了该类网络在应用平均驻留时间方法时能够达到全局指数同步。最后给出一个实例验证了结论的正确性。     

一种层次完美差异图的超节点拓扑结构研究

超节点网络采用两层结构组织超节点和普通节点,有利于提高网络性能和搜索效率。而现有的超节点拓扑结构及其动态维护机制和搜索路由机制存在维护复杂或查询产生信息多的缺陷。针对这些问题,提出一种新颖的层次完美差异图HPDG(k)拓扑结构,建立了一种超节点网络HPDGN,给出了HPDGN的路由和动态维护机制。它具有常数度数和固定邻接点特性,不但支持模糊查询,而且解决了结构化超节点拓扑对动态性支持差的问题。与现有拓扑结构的模拟对比实验结果表明,HPDGN减少了查询所带来的带宽消耗,具有更小的拓扑构造和失效修复成本。     

参数未知耦合时滞不同复杂网络的广义同步

针对具有不同动力学节点和不同拓扑结构的两个复杂网络,研究其广义同步问题,并考虑具有耦合时滞和参数未知的情况.基于Babalat引理,并利用Lyapunov稳定性方法,获得广义同步判据,设计有效的自适应控制器,实现混沌系统参数已知和参数未知两种情况下的广义同步.仿真验证了算法的有效性.     

具有间歇耦合的复杂动态网络量化同步分析

讨论了基于量化控制信号的间歇耦合复杂动态网络的同步动力学,根据脉冲间隔周期和量化器的特征,并利用稳定性理论和 Razumikhin 定理,分别给出了含时滞和不含时滞下的复杂动态网络同步化准则.网络节点间在一系列分段周期内有耦合,耦合过程中控制作用通过“对数量化器”对同步误差的反馈控制瞬态信号进行量化.所得理论结果进一步应用于由 Chua 混沌系统为动力节点所构成的复杂动态网络,数值模拟表明了所获理论结果的有效性.     

一类具有多种耦合时滞的复杂动态网络的牵制同步

针对一类由Lur'e系统组成的具有多种耦合时滞的加权复杂动态网络,研究其同步问题.只对网络中的一部分节点进行控制,从而使整个被控网络达到同步.基于绝对稳定性理论.得到了保证复杂网络实现全局同步的时滞独立判据.仿真中以蔡氏振荡器组成的复杂网络为例,验证了所提方法的有效性,且表明在某些特殊情况下,只需控制一个节点便可使整个网络达到同步.     

基于线性异构无线传感器网络的协同可靠数据传输

大量无线传感器应用具有线性网络拓扑结构.结合高压输电线路监控系统的层次型异构无线传感器网络架构,提出了骨干网和子网协作进行可靠数据传输,以解决线性拓扑结构的单点失效问题.设计了骨干网节点自适应功率调整机制和传感器节点自动子网切换机制,并在含9个骨干网节点的实验床上实现和性能验证.实验结果表明所提可靠数据传输机制能解决单点失效问题,并能有效改善网络性能.     

基于复杂网络模型的同步分析及控制

针对一致连结的复杂网络模型,通过构建Lyapunov函数,给出该类网络模型实现同步的一个判定准则.在此基础上,对该网络模型引入自适应反馈控制策略,并证明了此类网络在该控制作用下总可以动态地实现同步.特别地,该控制策略对节点间的耦合强度和网络的拓扑结构等具有较强的鲁棒性.数值仿真结果表明了该控制策略的有效性.     

一种分级网络架构的煤矿综合监控系统设计

针对煤矿井下环境复杂、矿井检测节点和检测参数种类众多的情况,提出了一种基于CAN总线分级网络架构的煤矿综合监控系统。主网络采用总线型拓扑结构,二级网络采用星型拓扑结构,系统采用不同的智能节点接入分级网络。分级网络解决了矿井下监控对象网络的独立问题,实现了矿井中所有监测对象整体组网的统一检测;在增加了网络容量的同时,也提高了网络利用率。在组网通信试验中,该分级网络结构和通信节点较好地实现了数据传输的实时性、可靠性和抗干扰性。     

Synchronization of complex dynamical networks with switching topology: A switched system point of view

In this paper, we study the synchronization problem for complex dynamical networks with switching topology from a switched system point of view. The synchronization problem is transformed into the stability problem for time-varying switched systems. We address two basic problems: synchronization under arbitrary switching topology, and synchronization via design of switching within a pre-given collection of topologies when synchronization cannot be achieved by using any topology alone in this collection. For the both problems, we first establish synchronization criteria for general connection topology. Then, under the condition of simultaneous triangularization of the connection matrices, a common Lyapunov function (for the first problem) and a single Lyapunov and multiple Lyapunov functions (for the second problem) are systematically constructed respectively by those of several lower-dimensional dynamic systems. In order to achieve synchronization using multiple Lyapunov functions, a stability condition and switching law design method for time-varying switched systems are also presented, which avoid the usual non-increasing condition.     

Impulsive control for synchronizing delayed discrete complex networks with switching topology

In this paper, global exponential synchronization of a class of discrete delayed complex networks with switching topology has been investigated by using Lyapunov-Ruzimiki method. The impulsive scheme is designed to work at the time instant of switching occurrence. A time-varying delay-dependent criterion for impulsive synchronization is given to ensure the delayed discrete complex networks switching topology tending to a synchronous state. Furthermore, a numerical simulation is given to illustrate the effectiveness of main results     

Pinning control and controllability of complex dynamical networks

In this article, the notion of pinning control for directed networks of dynamical systems is introduced, where the nodes could be either single-input single-output (SISO) or multi-input multi-output (MIMO) dynamical systems, and could be non-identical and nonlinear in general but will be specified to be identical linear time-invariant (LTI) systems here in the study of network controllability. Both state and structural controllability problems will be discussed, illustrating how the network topology, node-system dynamics, external control inputs and inner dynamical interactions altogether affect the controllability of a general complex network of LTI systems, with necessary and sufficient conditions presented for both SISO and MIMO settings. To that end, the controllability of a special temporally switching directed network of linear time-varying (LTV) node systems will be addressed, leaving some more general networks and challenging issues to the end for research outlook.     

复杂网络的脉冲同步

研究了具有有界耦合函数的不确定复杂动态网络的脉冲同步问题．根据脉冲控制的概念和脉冲微分方程的稳定性理论,我们利用一个灵活有效的脉冲控制实现了复杂动态网络的脉冲同步．最后,通过对混沌系统做网络节点的动态网络的数字模拟,验证了我们提出的脉冲控制方案的有效性和实用性．     

Synchronization of complex switched delay dynamical networks with simultaneously diagonalizable coupling matrices

This paper studies local exponential synchronization of complex delayed networks with switching topology via switched system stability theory. First, by a common unitary matrix, the problem of synchronization is transformed into the stability analysis of some linear switched delay systems. Then, when all subnetworks are synchronizable, a delay-dependent sufficient condition is given in terms of linear matrix inequalities （LMIs） which guarantees the solvability of the synchronization problem under an average dwell time scheme. We extend this result to the case that not all subnetworks are synchronizable. It is shown that in addition to average dwell time, if the ratio of the total activation time of synchronizable and non-synchronizable subnetworks satisfy an extra condition, then the problem is also solvable. Two numerical examples of delayed dynamical networks with switching topology are given, which demonstrate the effectiveness of obtained results.     

Proportional‐delay adaptive control for global synchronization of complex networks with time‐delay and switching outer‐coupling matrices

In this paper, the global synchronization problem for complex dynamical networks with time‐delay and switching outer‐coupling matrices is studied using the method of adaptive control. The mixed time‐delays in the considered system comprise both discrete time‐varying delay and distributed delay. The outer‐coupling matrices in the complex networks are assumed to vary with time and are described by a Markov process with finite state values. Based on the Lyapunov stability theory, the complete‐square method, and the Kronecker product analysis technique, a sufficient condition, which guarantees the global synchronization of all of nodes is obtained. The updated laws of controller do not only depend on the lag states of the complex dynamical networks but also depend on the Markov process. Finally, a numerical example is provided to show the effectiveness of the proposed method. Copyright © 2011 John Wiley & Sons, Ltd.     

具有相似节点的耦合时滞复杂网络的稳定性与同步控制分析

讨论具有相似节点的耦合时滞复杂网络的稳定和同步问题,且网络模型的外部耦合满足耗散条件.对于不同维数节点的复杂网络,根据节点之间相似参量的信息,利用线性矩阵不等式方法设计出含有相似参量的分散控制器,给出耦合复杂网络实现稳定的时滞独立判定准则.定义了含有相似参量的同步流形的概念,并设计了相应的分散控制器,给出了能使整个复杂网络同步的时滞独立判定条件.数值算例表明了所提出设计方法的有效性.     

Asymptotical Synchronization of Coupled Nonlinear Partial Differential Systems With Impulsive Effects

This paper considers the asymptotical synchronization of coupled nonlinear impulsive partial differential systems (PDSs) in complex networks. The cases of both complex networks with fixed topology and switching topology are studied. Based on the Lyapunov–Krasoviskii functional method, sufficient conditions are presented to guarantee the asymptotical synchronization of nonlinear impulsive PDSs, under the cases of fixed topology or switching topology. The effect of the spatial domain is exhibited in these sufficient conditions. Moreover, these sufficient conditions provide a method for selecting a suitable impulsive strategy for the coupled PDSs to achieve the asymptotical synchronization. Finally, numerical examples are given to illustrate the correctness.     

Geometrical Dissipativity‐Based Output Synchronization of Discrete Dynamical Networks with Non‐Identical Nodes

In this paper, we investigate the generalized output synchronization problem for discrete dynamic networks with non‐identical nodes. We consider two cases: output synchronization for fixed topology and arbitrary switching topology. For the first case, we establish several criteria for generalized output synchronization using the geometrical dissipativity property. For the other case, we present a LaSalle invariance principle for discrete switched systems, based on which criteria for generalized output synchronization under arbitrary switching topology are given. Finally, an example is provided to illustrate the effectiveness of the main results.     

Sinusoidal disturbance induced topology identification of Hindmarsh-Rose neural networks正弦扰动诱导复杂网络拓扑识别

Topology identification of complex networks is an important problem. Existing research shows that the synchronization of network nodes is an obstacle in the identification of network topology. Identification of the structure of the network presents an interesting challenge during the synchronization of complex networks. We developed a new method using the sinusoidal disturbance to identify the topology when the complex network achieves synchronization. Compared with the disturbance of all the nodes, the disturbance of the key nodes alone can achieve a very good effect. Finally, numerical simulation data are provided to validate our hypothesis.