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Dynamic Event-Triggered Fusion Filtering for Multi-Sensor Rectangular Descriptor Systems With Random State Delay 具有随机状态延迟的多传感器矩形描述符系统的动态事件触发融合滤波
IF 3.2 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-12-12 DOI: 10.1109/TSIPN.2023.3341410
Jun Hu;Ruonan Luo;Hongli Dong;Cai Chen;Hongjian Liu
This paper investigates the dynamic event-triggered fusion filtering problem for a class of uncertain multi-sensor rectangular descriptor systems with random state delay. The random state delay is depicted by a Bernoulli distributed random variable. In order to save the communication energy, a dynamic event-triggered mechanism (DETM) is employed to decide whether the measurements are transmitted to the local estimators. Firstly, by introducing the full-order transformation method, the rectangular descriptor systems are converted into the non-descriptor systems with full orders. Secondly, the local filter gains are designed to minimize the upper bounds of filtering error covariances (FECs), where the upper bounds of FECs and the filter gains depend on a group of free positive scalar parameters. To minimize the upper bounds of FECs, the scalar parameters are sought optimally by a numerical method, where the scalars obtained after optimization are called optimal parameters. Subsequently, the fusion filter of the original descriptor system is given by the inverse covariance intersection (ICI) fusion technique. Finally, the effectiveness and advantages of the proposed fusion filtering algorithm are illustrated by providing the experiments with circuit system application.
本文研究了一类具有随机状态延迟的不确定多传感器矩形描述符系统的动态事件触发融合滤波问题。随机状态延迟由一个伯努利分布式随机变量表示。为了节省通信能量,采用了一种动态事件触发机制(DETM)来决定是否将测量结果传输给本地估计器。首先,通过引入全阶变换方法,将矩形描述子系统转换为具有全阶的非描述子系统。其次,本地滤波器增益的设计是为了最小化滤波误差协方差(FEC)的上限,其中 FEC 和滤波器增益的上限取决于一组自由正标量参数。为了最小化滤波误差协方差的上限,需要通过数值方法优化标量参数,优化后得到的标量参数称为最优参数。随后,通过逆协方差交集(ICI)融合技术给出原始描述子系统的融合滤波器。最后,通过电路系统应用实验说明了所提出的融合滤波算法的有效性和优势。
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引用次数: 0
Stability of Aggregation Graph Neural Networks 聚合图神经网络的稳定性
IF 3.2 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-12-12 DOI: 10.1109/TSIPN.2023.3341408
Alejandro Parada-Mayorga;Zhiyang Wang;Fernando Gama;Alejandro Ribeiro
In this paper we study the stability properties of aggregation graph neural networks (Agg-GNNs) considering perturbations of the underlying graph. An Agg-GNN is a hybrid architecture where information is defined on the nodes of a graph, but it is processed block-wise by Euclidean CNNs on the nodes after several diffusions on the graph shift operator. We derive stability bounds for the mapping operator associated to a generic Agg-GNN, and we specify conditions under which such operators can be stable to deformations. We prove that the stability bounds are defined by the properties of the filters in the first layer of the CNN that acts on each node. Additionally, we show that there is a close relationship between the number of aggregations, the filter's selectivity, and the size of the stability constants. We also conclude that in Agg-GNNs the selectivity of the mapping operators can be limited by the stability restrictions imposed on the first layer of the CNN stage, but this is compensated by the pointwise nonlinearities and filters in subsequent layers which are not subject to any restriction. This shows a substantial difference with respect to the stability properties of selection GNNs, where the selectivity of the filters in all layers is constrained by their stability. We provide numerical evidence corroborating the results derived, testing the behavior of Agg-GNNs in real life application scenarios considering perturbations of different magnitude.
本文研究了聚合图神经网络(Agg-GNN)在考虑底层图扰动的情况下的稳定性。Agg-GNN 是一种混合架构,其中的信息定义在图的节点上,但在对图移动算子进行多次扩散后,由节点上的欧几里得 CNN 对其进行分块处理。我们推导出了与通用 Agg-GNN 相关的映射算子的稳定性边界,并明确了此类算子能够稳定变形的条件。我们证明,稳定性边界是由作用于每个节点的 CNN 第一层滤波器的特性定义的。此外,我们还证明了聚合的数量、过滤器的选择性和稳定性常数的大小之间存在密切关系。我们还得出结论,在 Agg-GNN 中,映射算子的选择性可能会受到施加在 CNN 阶段第一层的稳定性限制,但这可以通过不受任何限制的后续层中的点式非线性和过滤器得到补偿。这与选择 GNN 的稳定性有很大不同,在选择 GNN 中,各层滤波器的选择性都受到其稳定性的限制。我们在实际应用场景中测试了 Agg-GNN 的行为,并考虑了不同程度的扰动,从而提供了数值证据来证实得出的结果。
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引用次数: 0
Optimizing Multi-Agent Systems With Uncertain Dynamics: A Finite-Time Adaptive Distributed Approach 优化动态不确定的多代理系统:有限时间自适应分布式方法
IF 3.2 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-12-01 DOI: 10.1109/TSIPN.2023.3338467
Jiayi Lei;Yuan-Xin Li;Choon Ki Ahn
The topic of this study is adaptive distributed finite-time (FT) optimization of uncertain nonlinear high-order multi-agent systems (MASs) with disturbances. The proposed two-stage framework consists of an optimal FT estimator and an adaptive FT tracking controller. First, the estimator drives the optimization variables towards the optimal solution. In contrast to existing optimization control studies, high-order MASs subject to unknown dynamics are studied in this case. Second, by using the output of the estimator as a reference signal, the tracking controller allows all agents to approach the optimal point. The use of a command filter avoids the problem of discontinuous gradient functions, while it is possible to handle unknown nonlinear functions using fuzzy logic systems (FLSs). We prove, based on the FT stability criterion and convex optimization theory, that the proposed strategy minimizes the total objective function and results in a closed-loop system with bounded signals and FT convergence to the optimal solution. Finally, through a simulation example, the developed approach is verified.
本研究的主题是具有扰动的不确定非线性高阶多代理系统(MAS)的自适应分布式有限时间(FT)优化。所提出的两阶段框架包括最优有限时间估计器和自适应有限时间跟踪控制器。首先,估计器将优化变量推向最优解。与现有的优化控制研究不同,本案例研究的是受未知动态影响的高阶 MAS。其次,通过使用估计器的输出作为参考信号,跟踪控制器允许所有代理接近最优点。指令滤波器的使用避免了不连续梯度函数的问题,同时可以使用模糊逻辑系统(FLS)来处理未知的非线性函数。根据 FT 稳定性准则和凸优化理论,我们证明了所提出的策略能使总目标函数最小化,并能产生一个信号有界的闭环系统,且 FT 收敛到最优解。最后,通过一个仿真实例验证了所开发的方法。
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引用次数: 0
Exponential Synchronization of Reaction-Diffusion Systems on Networks via Asynchronous Intermittent Control 通过异步间歇控制实现网络上反应扩散系统的指数同步
IF 3.2 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-12-01 DOI: 10.1109/TSIPN.2023.3338452
Jian Liu;Yan Yang;Yongbao Wu;Seaar Al-Dabooni;Lei Xue;Donald C. Wunsch
In this article, the exponential synchronization (ES) of the reaction-diffusion systems on networks is studied under an asynchronous aperiodic intermittent control strategy. Different from the preceding studies, the control strategy of each node is different, which is more general and challenging. Meanwhile, to address the asynchrony problem of the asynchronous intermittent control, a new asynchronous average control rate (ACR) is constructed, which is different for each node. The ACR is greater than the lower bound of the control rate in the existing literature, which makes the results of this article less conservative. Then, by constructing the Lyapunov function and adopting the graph theory, some ES criteria are given for the reaction-diffusion systems on networks. Finally, the effectiveness of the algorithms is verified by the numerical simulations.
本文研究了异步非周期间歇控制策略下网络反应扩散系统的指数同步问题。与以往的研究不同,每个节点的控制策略不同,更具一般性和挑战性。同时,为了解决异步间歇控制的异步性问题,构造了一个新的异步平均控制率(ACR),该ACR在每个节点上都是不同的。该ACR大于现有文献中控制率的下界,使得本文的结果不那么保守。然后,通过构造Lyapunov函数并采用图论给出了网络上反应扩散系统的ES准则。最后,通过数值仿真验证了算法的有效性。
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引用次数: 0
A Closed-Form Solution for Graph Signal Separation Based on Smoothness 基于平滑性的图形信号分离闭式解法
IF 3.2 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-28 DOI: 10.1109/TSIPN.2023.3335615
Mohammad-Hassan Ahmad Yarandi;Massoud Babaie-Zadeh
Using smoothness criteria to separate smooth graph signals from their summation is an approach that has recently been proposed (Mohammadi et al., 2023) and shown to have a unique solution up to the uncertainty of the average values of source signals. In this correspondence, closed-form solutions of both exact and approximate decompositions of that approach are presented. This closed-form solution in the exact decomposition also answers the open problem of the estimation error. Additionally, in the case of Gaussian source signals in the presence of additive Gaussian noise, it is shown that the optimization problem of that approach is equivalent to the Maximum A Posteriori (MAP) estimation of the sources.
使用平滑度标准将平滑图信号从其求和中分离出来是最近提出的一种方法(Mohammadi 等人,2023 年),并证明在源信号平均值的不确定性范围内具有唯一的解决方案。在这篇论文中,介绍了这种方法的精确分解和近似分解的闭式解。精确分解的闭式解也回答了估计误差的开放问题。此外,在存在加性高斯噪声的高斯源信号情况下,该方法的优化问题等同于源的最大后验(MAP)估计。
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引用次数: 0
Encoding-Decoding-Based Distributed Fusion Filtering for Multi-Rate Nonlinear Systems With Sensor Resolutions 具有传感器分辨率的多速率非线性系统基于编解码的分布式融合滤波
IF 3.2 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-23 DOI: 10.1109/TSIPN.2023.3334496
Jun Hu;Shuting Fan;Cai Chen;Hongjian Liu;Xiaojian Yi
The paper investigates the distributed fusion filtering problem for time-varying multi-rate nonlinear systems (TVMRNSs) with sensor resolutions based on the encoding-decoding scheme (EDS) over sensor networks, where the iterative method is applied to the transformation of TVMRNSs. In order to enhance signal interference-resistant capability and improve transmission efficiency, the EDS based on dynamic quantization is introduced during the measurement transmission. On the basis of the decoded measurements, a local distributed filter is constructed, where an upper bound on the local filtering error (LFE) covariance is derived and the local filter gains are obtained by minimizing the trace of the upper bound. Subsequently, the fusion filtering algorithm is presented according to the covariance intersection fusion criterion. In addition, a sufficient condition is provided via reasonable assumptions to ensure the uniform boundedness of the upper bound on the LFE covariance. Finally, a moving target tracking practical example is taken to show the superiority of the proposed filtering algorithm and discuss the monotonicity of the mean-square error of the fusion filter with respect to the sensor resolutions and quantization intervals.
研究了传感器网络上基于编解码方案的时变多速率非线性系统(TVMRNSs)的分布式融合滤波问题,并将迭代法应用于TVMRNSs的变换。为了增强信号的抗干扰能力,提高传输效率,在测量传输过程中引入了基于动态量化的能谱技术。在解码测量数据的基础上,构造局部分布滤波器,推导局部滤波误差(LFE)协方差的上界,通过最小化上界的迹线获得局部滤波增益。然后,根据协方差交叉融合准则提出了融合滤波算法。此外,通过合理的假设,给出了保证LFE协方差上界一致有界的充分条件。最后,通过一个运动目标跟踪实例说明了所提滤波算法的优越性,并讨论了融合滤波的均方误差相对于传感器分辨率和量化间隔的单调性。
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引用次数: 0
Distributed Estimation by Partial Sensor Measurements Through Transmission Scheduling for Stochastic Systems 随机系统传输调度中部分传感器测量的分布估计
IF 3.2 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-06 DOI: 10.1109/TSIPN.2023.3329301
Yun Chen;Yuhang Jin;Jianjun Bai;Mengze Zhu
This paper is concerned with the partial-sensor-measurements-based (PSMB) distributed estimation problem for a class of stochastic systems (SSs) with randomly occurring nonlinearities, persistent bounded noises and quantization effects. The observations of partial sensor nodes are available to be transmitted to the estimators. In order to enhance the utilization efficiency of limited resources, the Round-Robin protocol is deployed to schedule the data transmissions over communication networks. The sufficient condition is established to guarantee the mean-square exponential ultimate boundedness of the augmented estimation error system (AEES), and then the desired PSMB estimator gains are determined by minimizing the mean-square upper bound of the augmented estimation error vector subject to iterative matrix inequalities. Finally, an illustrative example demonstrates the effectiveness of proposed estimation scheme.
研究了一类具有随机非线性、持续有界噪声和量化效应的随机系统的基于部分传感器测量的分布估计问题。部分传感器节点的观测值可以传送给估计器。为了提高有限资源的利用效率,采用轮循协议对通信网络中的数据传输进行调度。首先建立了增广估计误差系统均方指数最终有界的充分条件,然后根据迭代矩阵不等式,通过最小化增广估计误差向量的均方上界来确定期望的PSMB估计器增益。最后,通过实例验证了所提估计方案的有效性。
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引用次数: 0
Topology Recoverability Prediction for Ad-Hoc Robot Networks: A Data-Driven Fault-Tolerant Approach 自组织机器人网络拓扑可恢复性预测:一种数据驱动的容错方法
IF 3.2 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-10-30 DOI: 10.1109/TSIPN.2023.3328275
Matin Macktoobian;Zhan Shu;Qing Zhao
Faults occurring in ad-hoc robot networks may fatally perturb their topologies leading to disconnection of subsets of those networks. Optimal topology synthesis is generally resource-intensive and time-consuming to be done in real time for large ad-hoc robot networks. One should only perform topology re-computations if the probability of topology recoverability after the occurrence of any fault surpasses that of its irrecoverability. We formulate this problem as a binary classification problem. Then, we develop a two-pathway data-driven model based on Bayesian Gaussian mixture models that predicts the solution to a typical problem by two different pre-fault and post-fault prediction pathways. The results, obtained by the integration of the predictions of those pathways, clearly indicate the success of our model in solving the topology (ir)recoverability prediction problem compared to the best of current strategies found in the literature.
在自组织机器人网络中发生的故障可能会对其拓扑结构造成致命的扰动,从而导致网络子集的断开。对于大型自组织机器人网络,实时进行最优拓扑综合通常需要耗费大量资源和时间。只有当任何故障发生后拓扑可恢复的概率超过其不可恢复的概率时,才应该进行拓扑重新计算。我们把这个问题表述为一个二元分类问题。在此基础上,建立了基于贝叶斯高斯混合模型的双路径数据驱动模型,该模型通过两种不同的故障前和故障后预测路径来预测典型问题的解。通过整合这些路径的预测得到的结果清楚地表明,与目前文献中发现的最佳策略相比,我们的模型在解决拓扑(ir)可恢复性预测问题方面取得了成功。
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引用次数: 0
Practical Fixed-Time Consensus Tracking for Second-Order Multi-Agent Systems With Mismatched Disturbances 具有不匹配扰动的二阶多智能体系统的实用定时一致性跟踪
IF 3.2 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-10-27 DOI: 10.1109/TSIPN.2023.3328276
Jiayi Gong;Fuyong Wang;Zhongxin Liu;Zengqiang Chen
This article focuses on the practical fixed-time consensus tracking problem of second-order multi-agent systems (MASs) with mismatched disturbances and matched disturbances under directed graph. Actually, the leader can be a virtual signal or an actual agent. Considering these two situations, followers can track the leader in a finite time with uniform bound. By using the adding-a-power-integrator method, two fixed-time control protocols are proposed, thus the practical fixed-time tracking consensus is achieved in finite time, and settling time is independent of initial states. Finally, several simulations are given to further illustrate the effectiveness of the theory.
研究了有向图下具有不匹配扰动和匹配扰动的二阶多智能体系统的固定时间一致性跟踪问题。实际上,领导者可以是一个虚拟信号,也可以是一个实际的代理。考虑到这两种情况,follower可以在有限时间内以一致的边界跟踪leader。采用功率积分器的方法,提出了两种固定时间控制协议,从而在有限时间内实现了实际的固定时间跟踪一致性,并且稳定时间与初始状态无关。最后,通过仿真进一步说明了该理论的有效性。
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引用次数: 0
Personalized Graph Federated Learning With Differential Privacy 具有差分隐私的个性化图联邦学习
IF 3.2 3区 计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-10-23 DOI: 10.1109/TSIPN.2023.3325963
Francois Gauthier;Vinay Chakravarthi Gogineni;Stefan Werner;Yih-Fang Huang;Anthony Kuh
This paper presents a personalized graph federated learning (PGFL) framework in which distributedly connected servers and their respective edge devices collaboratively learn device or cluster-specific models while maintaining the privacy of every individual device. The proposed approach exploits similarities among different models to provide a more relevant experience for each device, even in situations with diverse data distributions and disproportionate datasets. Furthermore, to ensure a secure and efficient approach to collaborative personalized learning, we study a variant of the PGFL implementation that utilizes differential privacy, specifically zero-concentrated differential privacy, where a noise sequence perturbs model exchanges. Our mathematical analysis shows that the proposed privacy-preserving PGFL algorithm converges to the optimal cluster-specific solution for each cluster in linear time. It also reveals that exploiting similarities among clusters could lead to an alternative output whose distance to the original solution is bounded and that this bound can be adjusted by modifying the algorithm's hyperparameters. Further, our analysis shows that the algorithm ensures local differential privacy for all clients in terms of zero-concentrated differential privacy. Finally, the effectiveness of the proposed PGFL algorithm is showcased through numerical experiments conducted in the context of regression and classification tasks using some of the National Institute of Standards and Technology's (NIST's) datasets, namely, MNIST, and MedMNIST.
本文提出了一种个性化的图形联邦学习(PGFL)框架,在该框架中,分布式连接的服务器及其各自的边缘设备协同学习特定于设备或集群的模型,同时保持每个单独设备的隐私。提出的方法利用不同模型之间的相似性,为每个设备提供更相关的体验,即使在不同的数据分布和不成比例的数据集的情况下也是如此。此外,为了确保安全有效的协作个性化学习方法,我们研究了PGFL实现的一种变体,该变体利用差分隐私,特别是零集中差分隐私,其中噪声序列干扰模型交换。数学分析表明,所提出的保护隐私的PGFL算法在线性时间内收敛于每个聚类的最优特定于聚类的解。它还揭示了利用聚类之间的相似性可能导致替代输出,其与原始解的距离是有界的,并且可以通过修改算法的超参数来调整该界限。此外,我们的分析表明,该算法在零集中差分隐私方面确保了所有客户端的局部差分隐私。最后,通过使用美国国家标准与技术研究院(NIST)的一些数据集(即MNIST和MedMNIST)在回归和分类任务背景下进行的数值实验,展示了所提出的PGFL算法的有效性。
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引用次数: 0
期刊
IEEE Transactions on Signal and Information Processing over Networks
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