Wei Zhang , Guochen Pang , Xiangyong Chen , Yang Liu , Jianlong Qiu , Jinde Cao
{"title":"Fourier series observer-based adaptive bipartite consensus fault-tolerant control for multi-agent systems","authors":"Wei Zhang , Guochen Pang , Xiangyong Chen , Yang Liu , Jianlong Qiu , Jinde Cao","doi":"10.1016/j.jfranklin.2025.108027","DOIUrl":"10.1016/j.jfranklin.2025.108027","url":null,"abstract":"<div><div>This paper addresses the adaptive bipartite consensus fault-tolerant control problem for multi-agent systems (MASs) with periodic intermittent faults and external disturbances under intermittent communication. To address the simultaneous occurrence of periodic intermittent faults and external disturbances in MASs, a novel Fourier series observer is proposed. Specifically, by leveraging the principle of time-frequency domain transformation, the proposed observer effectively maps the characteristic information of original time-domain signals into frequency-domain space for precise analysis. This approach addresses the limitations of traditional time-domain observation methods, such as their poor identification capability and restricted applicability to complex faults. Building on the observer, a distributed adaptive intermittent fault-tolerant controller is designed. This control framework not only enables adaptive intermittent fault-tolerant control for MASs but also significantly reduces resource consumption in communication and control operations. Finally, two examples are presented to validate the effectiveness of the proposed methods.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108027"},"PeriodicalIF":4.2,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144989225","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}
Yingxue Du , Jinxin Shang , Zhi Liu , Dandan Li , Ancai Zhang
{"title":"Containment control for multi-agent systems with random switched networks and compound noises","authors":"Yingxue Du , Jinxin Shang , Zhi Liu , Dandan Li , Ancai Zhang","doi":"10.1016/j.jfranklin.2025.108025","DOIUrl":"10.1016/j.jfranklin.2025.108025","url":null,"abstract":"<div><div>The containment control problem with multiple dynamic leaders for stochastic multi-agent systems subject to compound noises and random switched networks is investigated. By utilizing stochastic approximation technique, a novel containment control protocol is proposed to realize that followers asymptotically converge to the convex hull by multiple dynamic leaders. These leaders exhibit collective dynamic evolution through local interactions with their neighboring leaders. Accordingly, the time-varying control gains <span><math><mrow><mi>β</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow></math></span> and <span><math><mrow><mi>α</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow></math></span> are separately introduced for leaders and followers, which meet some mild conditions. Based on above, combining with the Lyapunov function technique and the semi-decomposition method, the containment control problem for stochastic nonlinear multi-agent systems can be solved. Then, a general scenario where the multiple dynamic leaders without interactions is considered, and it can be seen as special case for leaders with interactions. Finally, the effectiveness of the our proposed algorithm is verified by two numerical simulations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108025"},"PeriodicalIF":4.2,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144925906","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}
{"title":"Cauchy kernel-based maximum correntropy iterated unscented Kalman filter: The adaptive event-triggered case","authors":"Mingyang Liu , Liangkuan Zhu , Xin Li , Qige Hong","doi":"10.1016/j.jfranklin.2025.108010","DOIUrl":"10.1016/j.jfranklin.2025.108010","url":null,"abstract":"<div><div>This paper presents an iterative maximum correntropy unscented Kalman filter based on the Cauchy kernel function under the adaptive event-triggered mechanism. Instead of Gaussian kernel function, Cauchy kernel function is used to define the distance between vectors in the proposed filter. This effectively addresses the issues faced by traditional maximum correntropy unscented Kalman filters, which may collapse due to singular matrices in the presence of multidimensional non-Gaussian noise and are highly sensitive to kernel bandwidth anomalies. Additionally, a fixed-point iterative algorithm and an adaptive event-triggered mechanism are incorporated to further enhance the filter’s robustness and stability while reducing communication channel load. Finally, the numerical experiments conducted on the target tracking framework confirm the enhanced efficacy of the developed method through comprehensive benchmarking against established filtering techniques.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108010"},"PeriodicalIF":4.2,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145019952","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}
Yong Wang , Liang Xiao , Suoxia Miao , Qing An , Fan Meng , Housheng Su
{"title":"Event-based consensus for second-order nonlinear multi-agent systems with matrix-weighted signed networks","authors":"Yong Wang , Liang Xiao , Suoxia Miao , Qing An , Fan Meng , Housheng Su","doi":"10.1016/j.jfranklin.2025.108024","DOIUrl":"10.1016/j.jfranklin.2025.108024","url":null,"abstract":"<div><div>This paper investigates the bipartite consensus problem of multi-agent systems (MASs) with matrix-weighted interactions, functioning on undirected signed graphs. To decrease communication loss, the event-triggered mechanism is incorporated into the proposed bipartite consensus protocol. To prove bipartite consensus, two auxiliary variables are introduced to make the proof simpler. The adaptive technique is utilized to reduce the impact of nonlinear factors, and Lyapunov theory is employed to establish the stability of error systems and verify their performance over time. The proposed controller allows the MASs to reach exponentially bipartite consensus. Furthermore, it can be demonstrated that the method prevents the occurrence of an infinite sequence within a finite time interval, ensuring that Zeno behavior is avoided. Finally, a series of simulations are presented to validate and reinforce these theoretical results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108024"},"PeriodicalIF":4.2,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144988803","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}
{"title":"Distributed flocking control of convex polygonal multiagent systems with obstacle avoidance","authors":"Yaxin Li, Yingmin Jia","doi":"10.1016/j.jfranklin.2025.108026","DOIUrl":"10.1016/j.jfranklin.2025.108026","url":null,"abstract":"<div><div>This paper studies the distributed flocking control problem for second-order convex polygonal multiagent systems with obstacles and limited communication regions. Existing research often simplifies agent shapes to particles or circles, neglecting the real shapes like unmanned ships and vehicles, which can result in inefficient use of spatial resources. To solve this problem, a new method for calculating the relative distance between convex polygonal agents is introduced. A potential function incorporating attractive and repulsive forces is designed based on this relative distance. The attractive function promotes cohesion, while the repulsive function prevents collisions. A finite cut-off function is used to design the repulsive function to avoid infinite repulsion when agents are too close. A flocking reference trajectory is set for movement, and an obstacle-avoidance reference trajectory is assigned for avoiding obstacles when the distance between the agent and the obstacle is less than the safe distance. The proposed control law integrates potential function and reference trajectory to achieve both flocking and obstacle avoidance. The effectiveness of the proposed control algorithm is validated through simulation on agents of different shapes in both obstacle-free and obstacle environments.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108026"},"PeriodicalIF":4.2,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144989224","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}
{"title":"Adaptive fuzzy distributed optimization control for second-order nonlinear multiagent systems with switching topologies","authors":"Dan Liu , Lili Zhang , Liwei An , Yan Liu","doi":"10.1016/j.jfranklin.2025.108019","DOIUrl":"10.1016/j.jfranklin.2025.108019","url":null,"abstract":"<div><div>This paper studies the cooperative optimization control problem for second-order multi-agent systems. Both general unknown nonlinearities and switching topologies are taken into consideration. To solve this problem, a two-step design process is provided. First, distributed reference generators are designed to approximate the optimal solution to the optimization problem. With the help of a new topology-dependent Lyapunov function, it proves that the designed generators are solvers of the optimization problem. Subsequently, an FLS-based adaptive control law is developed for each agent to achieve optimal consensus. Different from the existing distributed optimization results, it is unnecessary to reselect the design parameters even if the network topology or the number of agent changes. Simulation examples are finally given to confirm the effectiveness of the design.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108019"},"PeriodicalIF":4.2,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144989331","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}
{"title":"Optimal multi-channel transmission energy allocation against jamming attacks via data-driven reinforcement learning under Stackelberg game framework","authors":"Kecheng Liu , Ya Zhang","doi":"10.1016/j.jfranklin.2025.108022","DOIUrl":"10.1016/j.jfranklin.2025.108022","url":null,"abstract":"<div><div>Employing a Markov Stackelberg game and Signal-to-Interference-plus-Noise Ratio (SINR) model, this research develops a strategic framework for sensor power scheduling in Cyber-Physical Systems (CPSs) under adversarial conditions. It innovates by determining energy-efficient sensor transmission strategies against jamming, using data-driven reinforcement learning to optimize power allocation adaptively. The necessary training parameter design methodology is presented by the study, and stability proofs are provided. Simulation results demonstrate that the proposed algorithm outperforms existing approaches in reducing estimation errors and mitigating the attacker’s impact.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108022"},"PeriodicalIF":4.2,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144989317","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}
{"title":"Distributed secure state estimation of heterogeneous multi-agent system under unknown exogenous attack","authors":"Hongyu Zhou, Xiaoxue Feng, Xiuli Xin, Feng Pan","doi":"10.1016/j.jfranklin.2025.108012","DOIUrl":"10.1016/j.jfranklin.2025.108012","url":null,"abstract":"<div><div>This paper investigates the issues of distributed information fusion and secure state estimation in heterogeneous multi-agent system. In these systems, agents are characterized by distinct state and observation equations and can exchange observations and state information through a communication network, introducing significant challenges for information fusion. Based on Bayesian theory, the proposed method efficiently integrates heterogeneous information to provide minimum mean square error (MMSE) state estimates for each agent and the convergence of algorithm is proved. Furthermore, if systems suffers False data injection(FDI) attack, an attack-decoupling strategy is developed to mitigate the impact of exogenous attacks, ensuring the security and accuracy of state estimation under adversarial conditions. Finally, simulations demonstrate that the proposed filter can achieve accurate estimation, and the secure algorithm is effective.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108012"},"PeriodicalIF":4.2,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144989319","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}
{"title":"Dynamic periodic event-triggered control for nonlinear multi-agent systems under DoS attacks","authors":"Tong Wu , Guang-Hong Yang","doi":"10.1016/j.jfranklin.2025.108011","DOIUrl":"10.1016/j.jfranklin.2025.108011","url":null,"abstract":"<div><div>This article investigates the consensus issue for nonlinear multi-agent systems (MASs) under denial-of-service (DoS) attacks, where the connectivity of topology graph can be destroyed by attacks. Compared with the existing results, the connectivity-maintained attacks and connectivity-broken attacks are both considered, and the corresponding consensus control schemes based on a novel dynamic periodic event-triggered mechanism are respectively presented. Specifically, for the connectivity-maintained attacks, a time-varying and a time-invariant consensus control schemes based on the designed event-triggered mechanism are presented for the known and unknown attacks, respectively. Furthermore, to achieve consensus even though the connectivity of communication network is broken, a dynamic periodic event-triggered controller based on periodic sampling observer is presented for the connectivity-broken attacks. It can be proved that all the proposed control schemes can solve the consensus issues under different types of DoS attacks. In addition, the provided event-triggered conditions can avoid zeno-behavior and have the less conservatism than traditional static event-triggered conditions. Finally, the numerical examples are given to illustrate the proposed controllers.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108011"},"PeriodicalIF":4.2,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145019951","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}
{"title":"Recursive state-fault filtering for stochastic nonlinear systems over sensor networks with sensor resolution and time-correlated fading channels","authors":"Jie Sun , Bo Shen , Chuanbo Wen , Yufei Liu","doi":"10.1016/j.jfranklin.2025.108020","DOIUrl":"10.1016/j.jfranklin.2025.108020","url":null,"abstract":"<div><div>This paper investigates recursive resilient state estimation and fault estimation problem for a class of stochastic nonlinear systems over sensor networks under the sensor resolution and the time-correlated fading channels. The sensor resolution is regarded as a key indicator of measurement accuracy and effectively handled by the upper boundary technique to deal with the uncertainty caused by sensor resolution in this paper. The measurement output is transmitted to the remote filter through a time-correlated fading channel, where the channel coefficient is described by a certain dynamical process. The purpose of this paper is to design a resilient distributed filter to ensure that the filter error covariance has an upper bound in the presence of some fluctuations of the gain parameters. With the help of trace operations, the gain parameters of the desired distributed filter are obtained in terms of the solutions to a set of recursive equations. In addition, the exponential boundedness in the mean square of the filtering error system is analyzed. Finally, an example is given to verify the effectiveness of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108020"},"PeriodicalIF":4.2,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144933013","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}