Finite-Time Synchronization for a Class of Dynamical Complex Networks with Nonidentical Nodes and Uncertain Disturbance

This paper investigates the finite-time synchronization for a class of linearly coupled dynamical complex networks with both nonidentical nodes and uncertain disturbance. A set of controllers are designed such that the considered system can be finite-timely synchronized onto the target node.Based on the stability of the error equation, the Lyapunov function method and the linear matrix inequality technique, several sufficient conditions are derived to ensure the finite-time synchronization,and applied to the case of identical nodes and the one without uncertain disturbance. Also the adaptive finite-time synchronization is discussed. A numerical example is given to show the effectiveness of the main results obtained.     

复杂动力网络的数学模型与同步准则

许多自然和人造的网络都属于复杂网络,它们具有复杂的招朴结构和大量的节点.人们提出了许多数学模型来描述各种各样的复杂网络,探讨复杂网络的动力和集群行为.简要地回顾几个典型的复杂动力网络模型.基于提出的时变复杂动力网络模型,给出了几个基本的网络同步准则.最后给出了一个简单的例子加以说明.     

机群多编队作战网络自同步

提出机群多编队协同作战复杂网络模型,基于复杂网络自同步原理,研究网络节点动力学和耦合强度给定不变情况下,网络拓扑结构对作战网络同步能力的影响。针对作战网络特点,以最大化网络同步能力和不同层级指控节点效能为优化目标,作战网络指控结构和作战环境对通信拓扑的限制为约束条件,建立作战网络自同步优化模型。采用遗传算法,通过调整作战节点之间的通信结构对上述模型求解。仿真实验表明,获得的优化网络在保持作战网络结构特点的同时,具备更小的网络特征值比和更快的一致性收敛速度。     

Some synchronization criteria for general complex networks with coupling delays

A general complex delayed dynamical network model with asymmetric coupling matrix is considered in this paper. For reducing the conservativeness of synchronization criteria, several novel synchronization stability conditions are presented by using delay decomposition methods. Numerical examples which are widely used to study delay-dependent synchronization stability are given to illustrate the effectiveness of the proposed methods.     

Pinning Synchronization of Discrete-Time Complex Networks with Different Time-Varying Delays

This paper investigates pinning synchronization of discrete-time complex networks with different time-varying delays. An important lemma is presented and proved, then detailed analysis is given to yield some synchronization criteria for this kind of networks. The results provide an effective way to synchronize discrete-time complex networks by reducing control cost. Furthermore, these theoretical results are illustrated by a complex network via two kinds of pinning schemes. Numerical simulations verify the feasibility of the proposed methods.     

Adaptive Control of the Structural Balance for a Class of Complex Dynamical Networks

In social networks, the structural balance is a state of a group of individuals(nodes) with established mutual relationships(connection relationships) between them. It is easy to see that a social network can be described by a complex dynamical network model composed of the nodes subsystem(NS) and the connection relationships subsystem(CS), where the two subsystems are usually coupled with each other. It implies that the dynamic changes of nodes' states may cause the structural balance in CS. However, few papers have discussed the relationship between the structural balance and the specific dynamic changes of the nodes' states. This paper proposes a model of complex dynamical networks, and mainly focuses on the dynamic changes of states in NS which can lead to the structural balance in CS. It is proved that if each state in NS is doing a specific dynamic motion via the controller with the parameter adaptive law, then the CS can track a given structural balance matrix via the effective coupling and the structural balance can be achieved. Such a result can be regarded as an explanation of the relationship between the structural balance and the specific dynamic changes of the nodes' states. Finally, the simulations verify the effectiveness of the proposed method.     

传感网络低占空比MAC协议同步机制研究

低占空比MAC协议通过节点休眠有效延长了传感网络的寿命,然而同步过程中许多节点监听多个计划,降低了协议的节能效果;同时节点休眠导致数据转发时延大大延长。提出了一种适用于低占空比MAC的新同步机制。基站成为唯一的同步发起者,它周期性地发布同步信息。其他节点仅监听一个计划并广播他们自己的休眠计划,多跳路径上的邻居节点交错监听周期。在一个树型拓扑网络上的仿真试验表明,此同步机制可以在更少能量的条件下进一步减少低占空比MAC的系统时延,提高网络在较重负载下的吞吐量。     

一类复杂动态网络的鲁棒H∞同步

针对一类由Lur'e系统组成的复杂动态网络,研究其鲁棒H∞同步问题,其中每个子系统所受的干扰为一个能量有界函数.基于Lyapunov稳定性理论,给出了使网络达到同步并能满足给定的H∞性能指标的同步判据,即一组LMIs有解,且所设计的控制器的参数可由LMIs的解给出.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...     

网络型耦合复动力系统的同步动力学

通过讨论网络型耦合复动力系统的同步动力学问题,给出了该系统同步流形稳定性的分析方法,得到了网络型耦合复动力系统局部同步和全局同步的充分条件。所得的结果可以应用到由一个典型的复洛伦兹系统构成的网络耦合复动力系统,数值仿真表明理论结果的正确性。     

一类时滞动力网络的时滞相关稳定性

研究了节点含时滞的复杂动力网络在平衡点的稳定性.基于时滞微分不等式和李雅普诺夫稳定性理论,提出了此网络的时滞相关的局部渐近稳定的充分条件,并给出了时滞上界的具体表达式.最后的数值模拟分析表明结果是可行且有效的.     

延时耦合复杂动力网络的全局混沌同步

利用Lyapunov稳定性理论,结合线性矩阵不等式方法,给出了具有耦合延时的复杂动力网络全局指数同步的时滞无关和时滞相关的若干条件.同时以Duffing混沌系统为例,应用时滞相关条件,得到了保证同步状态全局指数稳定的时滞上界,并与已有结论作比较,验证了结论的保守性有所减弱.数值仿真结果也说明理论分析的正确性.     

基于灰预测的PTP协议改进方法

随着无线网络节点时钟同步需求的日益增加和实时性应用的增多,时钟同步的地位越来越突出,在改善用户体验、提高节点资源的使用率、提高系统稳定性等方面,时钟同步也有着重要意义。精确时钟同步协议(precision time protocol,PTP)广泛运用在时钟同步机制,然而,由于无线网络中存在随机不对称时延,使得PTP的精确度下降。尽管通过统计和估计的方法可以提高同步精度,但需要收集大量的样本,这将导致收敛速度减慢,对于资源有限的设备节点还会引发内存占用问题。首先给出了无线网络中节点之间时钟偏差的特性分析,然后提出了一种基于GM(1,1)的灰预测模型的快速时钟同步方法,该方法基于灰预测理论,灰理论是针对既无经验,数据又少的不确定问题。而对于资源有限的无线网络节点的时钟同步,不对称时延是不确定性的,同时样本很少,非常适合用灰理论进行时延估计。实验结果表明所提解决方案可以实现高精度的快速时钟同步。     

复杂网络的线性广义同步

基于Lyapunov 稳定性理论,研究了两个复杂网络的线性广义同步(LGS)问题．通过构造控制器实现了两个参数不确定时滞复杂网络的LGS,给定驱动网络以及线性映射,可以构造响应网络来实现LGS．结果可用于指导能源供求网络、金融网络等的平衡发展．以企业家激励网络及企业经济增长要素网络进行数值仿真,参数不确定也可实现两个网络的LGS, 从而在一种和谐同步发展的状态下,能更好的实现企业经济的稳步发展．当企业家激励网络参数未知时,可构造响应网络来实现LGS, 一方面可对该网络进行同步控制,达到预期的效果; 另一方面可对参数进行辨识, 确定网络结构．     

Complex cyber-physical networks: From cybersecurity to security control

Complex cyber-physical network refers to a new generation of complex networks whose normal functioning significantly relies on tight interactions between its physical and cyber components. Many modern critical infrastructures can be appropriately modelled as complex cyber-physical networks. Typical examples of such infrastructures are electrical power grids, WWW, public transportation systems, state financial networks, and the Internet. These critical facilities play important roles in ensuring the stability of society as well as the development of economy. Advances in information and communication technology open opportunities for malicious attackers to launch coordinated attacks on cyber-physical critical facilities in networked infrastructures from any Internet-accessible place. Cybersecurity of complex cyber-physical networks has emerged as a hot topic within this context. In practice, it is also very crucial to understand the interplay between the evolution of underlying network structures and the collective dynamics on these complex networks and consequently to design efficient security control strategies to protect the evolution of these networks. In this paper, cybersecurity of complex cyber-physical networks is first outlined and then some security enhancing techniques, with particular emphasis on safety communications, attack detection and fault-tolerant control, are suggested. Furthermore, a new class of efficient secure control strategies are proposed for guaranteeing the achievement of desirable pinning synchronization behaviors in complex cyber-physical networks against malicious attacks on nodes. The authors hope that this paper motivates to design enhanced security strategies for complex cyber-physical network systems, to realize resilient and secure critical infrastructures.     

基于多任务学习图卷积模型的航空网络节点分类

准确识别航空网络关键节点, 做好针对性防护, 对于保证航空网络正常运行至关重要。传统的方法, 如基于复杂网络中心性指标的方法, 或基于机器学习的算法, 只单一考虑网络结构或节点特征来评价节点的重要性。然而评价节点的重要性应该同时考虑网络结构特征和节点特征。为解决上述问题, 本文提出了一种名为多任务图卷积网络(multi tasks graph convolution network, MTGCN)航空网络节点分类模型, 该模型在图卷积网络的基础上, 引入多任务学习及自适应加权策略, 将“节点—节点相关性”作为辅助任务加入模型的训练过程中, 并根据训练情况自适应分配各任务权重。3个不同规模的航空网络数据集中的仿真实验表明本文所提模型的性能优于现有的图卷积模型, 为图卷积在航空网络节点分类方向的应用提供了思路。     

一类具有未知参数干扰的混沌系统的同步

利用主动控制思想实现了两个具有未知参数干扰的不确定混沌系统的同步。通过在控制器中添加误差补偿项来消除参数干扰对系统同步的影响,并利用矩阵理论中盖格尔圆定理给出了控制器中线性部分参数取值的一般范围。理论分析证明,所设计的响应系统能使同步误差收敛到零。最后针对Lorenz系统进行了仿真,结果表明设计的控制器是有效的。     

基于Kullback-Leibler距离的网络节点一致性排序

在复杂网络中,重要节点比其它节点能更大程度地影响网络的结构与功能.如何评价节点之间的相对重要性,找出重要节点,是一个重要的研究课题.已有的节点重要性评价和排序方法存在一定的局限性.为此,本文综合节点基本属性,依赖网络拓扑特性,提出基于Kullback-Leibler距离的节点一致性排序方法.最后,通过实例分析,验证了本文方法较已有方法在不同类型网络上的有效性和适用性更强.     

拓扑切换网络的脉冲控制

现实世界中许多复杂动力网络的状态不仅仪是单纯的连续变量或离散变量，而是两者同时存在与作用。基于这种现象，本文提出了一种新的拓扑切换复杂动力网络模型，并讨论了在脉冲控制下这种网络的镇定问题。最后给出了一个具体的数值示例和仿真结果，来阐明这种控制方法是有效的。     

Bidirectionally coupled synchronization of the generalized Lorenz systems

Wu, Chen, and Cai (2007) investigated chaos synchronization of two identical generalized Lorenz systems unidirectionally coupled by a linear state error feedback controller. However, bidirectional coupling in real life such as complex dynamical networks is more universal. This paper provides a unified method for analyzing chaos synchronization of two bidirectionally coupled generalized Lorenz systems. Some sufficient synchronization conditions for some special coupling matrices (diagonal matrices, so-called dislocated coupling matrices, and so on) are derived through rigorously mathematical theory. In particular, for the classical Lorenz system, the authors obtain synchronization criteria which only depend upon its parameters using new estimation of the ultimate bounds of Lorenz system (Chaos, Solitons, and Fractals, 2005). The criteria are then applied to four typical generalized Lorenz systems in the numerical simulations for verification.     

单锚节点水声网络高精度低开销初始化方法

网络初始化是网络协议正常运行的基础,共包括自定位及时间同步两部分。针对水声网络特点,提出一种仅采用单锚节点的参考节点自选则自定位算法,该算法仅采用一个锚节点,通过最优化选择参考节点,减小参考节点拓扑结构及网络测距误差对定位精度的影响,既有效解决了水声网络中锚节点少的问题,且提高了定位精度;在此基础上提出一种快速初始化方法,该方法将自定位与时间同步协同完成,使得网络可在较少的信息交互下快速实现初始化过程,减小通信开销及初始化时延,网络布放后可快速进入正常运行,提高网络工作效率。通过仿真得出,本文提出的方法较现有初始化方法锚节点需求少,定位精度高,初始化时延短、通信开销小,可以很好地应用于水声网络中。