Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第9页

Adaptive moving horizon state estimation for linear time-varying systems with unknown model parameters and noise statistics 具有未知模型参数和噪声统计量的线性时变系统的自适应运动视界状态估计

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-08-27 DOI: 10.1016/j.jfranklin.2025.108023

Wenying Yang, Xiaoli Luan, Fei Liu

引用次数: 0

Intermittent event-triggered circle formation control for multi-agent systems based on reinforcement learning 基于强化学习的多智能体系统间歇事件触发圆形成控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-08-27 DOI: 10.1016/j.jfranklin.2025.108016

Guoying Miao , Ruichen Ji , Qian Ma , Gongfei Song

引用次数: 0

Ellipsoid-density-based set-membership global estimation for complex networked systems with absolute and relative measurements 具有绝对测量和相对测量的复杂网络系统基于椭球密度的集隶属度全局估计

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-08-27 DOI: 10.1016/j.jfranklin.2025.108007

Mingyang Luo , Yilian Zhang , Huaicheng Yan , Fuwen Yang

{"title":"Ellipsoid-density-based set-membership global estimation for complex networked systems with absolute and relative measurements","authors":"Mingyang Luo , Yilian Zhang , Huaicheng Yan , Fuwen Yang","doi":"10.1016/j.jfranklin.2025.108007","DOIUrl":"10.1016/j.jfranklin.2025.108007","url":null,"abstract":"<div><div>This paper investigates the global state estimation problem under the influence of unknown-but-bounded process and measurement noises in complex networks. To improve state estimation accuracy and reliability, this paper first designs a distributed set-membership estimation scheme based on absolute and relative measurements. This scheme aims to obtain local state estimation ellipsoidal sets for the considered network nodes subject to unknown-but-bounded noises, which utilizes the relative measurement information among sensor nodes to enhance the accuracy of these local estimations. In addition, considering the accuracy requirements, an ellipsoid-density-based fusion method is proposed to fuse all the local estimation ellipsoids into a global state estimation ellipsoid, thereby improving the accuracy and confidence of the global state estimation. Finally, the effectiveness of the proposed method is verified by simulation examples, demonstrating its superiority for the global state estimation problem.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108007"},"PeriodicalIF":4.2,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144925903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A hierarchical structure for opinion convergence in multi-agent networks 多智能体网络意见收敛的层次结构

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-08-27 DOI: 10.1016/j.jfranklin.2025.108013

Luigi D’Alfonso, Giuseppe Fedele

引用次数: 0

A novel energy-based control approach for leader-follower bipartite consensus of heterogeneous multi-agents over antagonistic network interactions 一种新的基于能量的异构多智能体对抗性网络中领导-追随者二部共识控制方法

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-08-26 DOI: 10.1016/j.jfranklin.2025.108021

Noman Liaqat , Qaisar Abbas Naqvi , Qurratulain Minhas , Muhammad Rehan , Ijaz Ahmed , Muhammad Khalid

{"title":"A novel energy-based control approach for leader-follower bipartite consensus of heterogeneous multi-agents over antagonistic network interactions","authors":"Noman Liaqat , Qaisar Abbas Naqvi , Qurratulain Minhas , Muhammad Rehan , Ijaz Ahmed , Muhammad Khalid","doi":"10.1016/j.jfranklin.2025.108021","DOIUrl":"10.1016/j.jfranklin.2025.108021","url":null,"abstract":"<div><div>This paper addresses the problem of robust bipartite consensus of heterogeneous linear multi-agent systems (MASs) under external disturbances and antagonistic interactions. The theoretical findings of the bipartite consensus are conducted for both the undirected and directed signed graphs to deal with the cooperative-competitive behavior with neighbor agents. To guarantee the stability and bipartite consensus of heterogeneous dynamics MASs, a dynamic state feedback distributed controller mechanism is established with the aid of Lyapunov criteria, <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> robust control criteria, and an output regulation approach. A novel <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> energy-based robustness criterion for the bipartition of heterogeneous MASs to minimize the disturbance effect at output errors has been introduced. This criterion has been imposed on MASs via an objective inequality along with Lyapunov analysis, <span><math><msub><mi>L</mi><mn>2</mn></msub></math></span> gain investigation, network characteristics, and norm properties for ensuring the desired robustness objectives. The adequate conditions that ensure the bipartite consensus of heterogeneous MASs are determined as linear matrix inequalities for a simple design investigation. Two numerical examples are demonstrated to check the efficiency of the resultant control schemes.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108021"},"PeriodicalIF":4.2,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144933014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Linear convergence of zeroth-order algorithm for distributed weakly convex optimization with sharpness property 具有锐性的分布弱凸优化零阶算法的线性收敛性

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-08-26 DOI: 10.1016/j.jfranklin.2025.108014

Renyi Wang, Songsong Cheng, Yuan Fan

引用次数: 0

Finite-horizon quantized security output feedback control for time-varying cyber-physical systems: Based on encryption strategy 时变网络物理系统的有限视界量化安全输出反馈控制：基于加密策略

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-08-26 DOI: 10.1016/j.jfranklin.2025.108003

Ming-Quan Li, Xiao-Heng Chang

引用次数: 0

Design on dynamic event and self-triggered control for systems with Markov jumps and denial-of-service attacks 马尔可夫跳变与拒绝服务攻击系统的动态事件与自触发控制设计

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-08-25 DOI: 10.1016/j.jfranklin.2025.108006

Siqin Liao , Yuanqing Wu , Zheng-Guang Wu , Peng Shi

{"title":"Design on dynamic event and self-triggered control for systems with Markov jumps and denial-of-service attacks","authors":"Siqin Liao , Yuanqing Wu , Zheng-Guang Wu , Peng Shi","doi":"10.1016/j.jfranklin.2025.108006","DOIUrl":"10.1016/j.jfranklin.2025.108006","url":null,"abstract":"<div><div>This paper investigates the dynamic event-triggered control and self-triggered control problems for discrete-time Markov jump systems subjected to aperiodic denial-of-service attacks. A hidden Markov model is employed to design an asynchronous controller that mitigates the discrepancies between the system modes and the controller modes. An iterative approach is developed to derive sufficient conditions that guarantee the stochastic stability of discrete-time Markov jump systems within the context of aperiodic denial-of-service attacks, utilizing a dynamic event-triggered mechanism. The gain matrices of the asynchronous controller and the dynamic event-triggered control mechanism are determined by solving a series of linear matrix inequalities. Furthermore, based on the dynamic event-triggered control strategy, a self-triggered mechanism is developed to predict the next sampling time using current system information, thereby eliminating the need for continuous real-time evaluation of triggering conditions.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108006"},"PeriodicalIF":4.2,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144925907","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Auxiliary model gradient-based iterative identification with moving data window for Wiener nonlinear output-error systems 基于辅助模型梯度的Wiener非线性输出误差系统的移动数据窗迭代辨识

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-08-25 DOI: 10.1016/j.jfranklin.2025.107992

Chenchen Tian, Zhaocun Dong, Yan Ji, Xue Lin

{"title":"Auxiliary model gradient-based iterative identification with moving data window for Wiener nonlinear output-error systems","authors":"Chenchen Tian, Zhaocun Dong, Yan Ji, Xue Lin","doi":"10.1016/j.jfranklin.2025.107992","DOIUrl":"10.1016/j.jfranklin.2025.107992","url":null,"abstract":"<div><div>This paper is concentrated on the identification issue regarding the Wiener nonlinear output-error (OE) system. The system is broken down into multiple subsystems having a smaller number of variables by employing the key term separation. Employing the idea of auxiliary model identification resolves the non-measurable variables in the information vector. With the employment of the auxiliary model identification idea along with the negative gradient search method, an auxiliary model gradient-based iterative algorithm is attained. The accuracy of parameter identification is improved by the addition of the moving data window, which updates the dynamic data by deleting the past data as well as appending the most recent measurement data. The moving data window auxiliary model gradient-based iterative algorithm is presented. Finally, a numerical example is used to examine and compare the performance of the proposed algorithms, and an application example of the continuous stirred tank reactor is used for validating the practicability of the proposed algorithm.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 107992"},"PeriodicalIF":4.2,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144989330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An adaptive robust gradient-based recurrent neural network for solving time-varying linear matrix equation and its application 求解时变线性矩阵方程的自适应鲁棒梯度递归神经网络及其应用

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-08-25 DOI: 10.1016/j.jfranklin.2025.107991

Chenfu Yi, Jingjing Chen, Ling Li

{"title":"An adaptive robust gradient-based recurrent neural network for solving time-varying linear matrix equation and its application","authors":"Chenfu Yi, Jingjing Chen, Ling Li","doi":"10.1016/j.jfranklin.2025.107991","DOIUrl":"10.1016/j.jfranklin.2025.107991","url":null,"abstract":"<div><div>The time-varying (TV) problems frequently happen in various practical engineering fields. As for their solution, most neural network models are based on the classical gradient-based neural network (CGNN) with an evident lagging error, which is tailored for time-independent problems. Considering the wide range of applications of gradient-based algorithm in many fields, in this article, we propose an improvement to the CGNN model based on the Lyapunov control theory, resulting in an adaptive robust gradient-based recurrent neural network (ARG-RNN), which is demonstrated that it is an effective neural solver for the TV problems in theory and also substantiated by following the simulated real-valued and complex-valued linear matrix equations solving experiments and an angle of arrival (AoA) location application. Additionally, most neural network models are developed for noise-free environments, while noise is often unavoidable in practical applications. Therefore, the presented ARG-RNN is also verified to be capable of obtaining an exact solution even in the face of external constant noise, linear TV noise, or bounded random noise by the noise-tolerant experiments and comparisons.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 107991"},"PeriodicalIF":4.2,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144919951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0