Journal of The Franklin Institute-engineering and Applied Mathematics最新文献

Anti-outlier unscented kalman filter for power system state estimation 电力系统状态估计的抗离群无嗅卡尔曼滤波

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-09 DOI: 10.1016/j.jfranklin.2026.108495

Haoli Gu , Bo Chen , Rusheng Wang

{"title":"Anti-outlier unscented kalman filter for power system state estimation","authors":"Haoli Gu , Bo Chen , Rusheng Wang","doi":"10.1016/j.jfranklin.2026.108495","DOIUrl":"10.1016/j.jfranklin.2026.108495","url":null,"abstract":"<div><div>While state estimation plays a critical role in power system operation and control, it suffers from multi-rate problem caused by the different sampling frequency of multiple sensors. A multi-rate mechanism is proposed based on the non-common multiples assumption to deal with this problem. On this basis, an enhanced batch covariance intersection (CI) algorithm is used to solve the multi-sensor fusion problem. In addition, an anti-outlier unscented Kalman filter (AO-UKF) is developed in order to solve the problem of outliers, which caused by phenomena such as communication loss and transformer saturation. The proposed AO-UKF is able to estimate system instantaneous states in a more robust way than other traditional Kalman filtering methods thanks to a novel mixed outlier detection mechanism. This mechanism is designed by utilizing projection statistic and least square methods, which is inspired by the distribution characteristics of the innovation-based and the prediction-based sample points. Since two types of sample points are bivariate Gaussian distribution and linear distribution respectively, the designed mechanism has a wider applicability compared to a single detection mechanism. Finally, comparisons have been extensively conducted with other traditional Kalman filtering methods including UKF, and the results show that the proposed AO-UKF method can provide a better estimation accuracy when outliers are taken into account.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108495"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172568","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

Enhancing quadrotor trajectory prediction via hybrid-corrected TCN-MLP network 基于混合校正TCN-MLP网络增强四旋翼飞行器轨迹预测

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-10 DOI: 10.1016/j.jfranklin.2026.108493

Liu Liu, Di Jin

{"title":"Enhancing quadrotor trajectory prediction via hybrid-corrected TCN-MLP network","authors":"Liu Liu, Di Jin","doi":"10.1016/j.jfranklin.2026.108493","DOIUrl":"10.1016/j.jfranklin.2026.108493","url":null,"abstract":"<div><div>State estimation provides the foundation for the safe and autonomous operation of quadrotors by delivering reliable pose and velocity information under noisy and incomplete sensor measurements, but it is insufficient for complex missions. As its temporal extension, trajectory prediction underpins key functions such as path planning, obstacle avoidance, and decision-making control directly. Classical estimation methods are inadequate for long-horizon prediction, while deep learning models, despite their strong nonlinear representational capacity, lack real-time correction mechanisms compatible with state estimation principles. To overcome these limitations, this paper proposes a TCN-MLP trajectory prediction model enhanced with a hybrid-correction (HC) mechanism. By dynamically incorporating partial ground-truth observations during training, the HC mechanism effectively mitigates error accumulation. Experimental results on real-world quadrotor flight datasets demonstrate that the proposed method achieves superior long-term prediction accuracy and robustness compared with mainstream baselines.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108493"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172561","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

Parameter estimation of wiener nonlinear systems based on gradient iteration theory and zebra optimization algorithm 基于梯度迭代理论和斑马优化算法的维纳非线性系统参数估计

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-09 DOI: 10.1016/j.jfranklin.2026.108499

Lingling Lv , Yulin Zhang , Yu Wu , Chongbin Xu , Zhongyang Li , Huaicheng Yan

{"title":"Parameter estimation of wiener nonlinear systems based on gradient iteration theory and zebra optimization algorithm","authors":"Lingling Lv , Yulin Zhang , Yu Wu , Chongbin Xu , Zhongyang Li , Huaicheng Yan","doi":"10.1016/j.jfranklin.2026.108499","DOIUrl":"10.1016/j.jfranklin.2026.108499","url":null,"abstract":"<div><div>In this paper, we address the problem of parameter identification for a Wiener nonlinear system with an autoregressive (AR) noise model. We propose two novel algorithms, namely the Wiener system generalized gradient iterative (WS-GGI) algorithm and the Wiener system zebra optimization (WS-ZO) algorithm. The WS-GGI algorithm is rooted in the gradient search principle, while the WS-ZO algorithm is a metaheuristic approach characterized by its robust parallel search capability. The core concept of the WS-ZO method is to identify the optimal solution by simulating the random movements of zebras within the search space and evaluating the objective function. The effectiveness of the proposed algorithms is demonstrated through experimental data and further compared with the recursive generalized least squares (RGLS) algorithm and the particle swarm optimization (PSO) algorithm. In conclusion, our findings indicate that these two new algorithms offer significant advantages in terms of accuracy and computational efficiency.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108499"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172570","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

Event-triggered fixed-time control for marine generator excitation system with super-twisting observer 带超扭观测器的船舶发电机励磁系统事件触发定时控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-03 DOI: 10.1016/j.jfranklin.2026.108462

Xiaoyuan Luo , Jiahui Dong , Shaoping Chang , Xinping Guan

{"title":"Event-triggered fixed-time control for marine generator excitation system with super-twisting observer","authors":"Xiaoyuan Luo , Jiahui Dong , Shaoping Chang , Xinping Guan","doi":"10.1016/j.jfranklin.2026.108462","DOIUrl":"10.1016/j.jfranklin.2026.108462","url":null,"abstract":"<div><div>This research proposes a swift and accurate control strategy for a generator’s excitation system being easily perturbed during normal operation. The strategy is developed based on the event-triggered mechanism and fixed-time stabilization theory. To begin with, the mathematical models of the generator and its excitation control system are established, and the impact of external disturbances is analyzed. Then, an event-triggered fixed-time super-twisting observer is introduced to reduce the system’s susceptibility to perturbations by estimating and compensating for them. Simultaneously, a controller is designed using this observer to ensure the system state converges within a fixed time, with the upper bound of convergence time independent of the initial state. Ultimately, Lyapunov theory is employed to validate the fixed-time convergence of the controller and observer while avoiding the Zeno phenomenon. Simulation results confirm the effectiveness of the proposed strategy in detecting and resisting perturbations, improving system performance, and reducing energy consumption and update frequency.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108462"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146122637","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

Filtered output feedback control for uncertain nonlinear systems: A barrier function-based approach 不确定非线性系统的滤波输出反馈控制：一种基于势垒函数的方法

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-01-18 DOI: 10.1016/j.jfranklin.2026.108437

Jie Zhang , Jie Tao , Ming Lin , Yong-Hua Liu , Chun-Yi Su , Renquan Lu

{"title":"Filtered output feedback control for uncertain nonlinear systems: A barrier function-based approach","authors":"Jie Zhang , Jie Tao , Ming Lin , Yong-Hua Liu , Chun-Yi Su , Renquan Lu","doi":"10.1016/j.jfranklin.2026.108437","DOIUrl":"10.1016/j.jfranklin.2026.108437","url":null,"abstract":"<div><div>This paper presents a barrier function-based filtered output feedback control strategy for a class of uncertain nonlinear systems with unmeasurable states. A neural network-driven observer is first devised to reconstruct the unavailable states, thereby laying the necessary foundation for controller synthesis. On this basis, a novel barrier function-based filter is developed to eliminate the need for high-order derivatives of virtual control inputs, while strictly confining the filtered error within a predefined range to prevent its accumulation from compromising system stability. A core innovation of the proposed approach lies in its suppression of filtered errors through the embedded barrier function mechanism, which significantly enhances control performance and guarantees that all closed-loop signals remain bounded. In contrast to existing filtered backstepping methods that rely on small filtering time constants for stability preservation, the proposed approach effectively mitigates such dependency by leveraging a barrier function-based regulation mechanism. Comparative simulations and inverted pendulum experiments are conducted to validate the effectiveness and practicality of the proposed control strategy, highlighting its superiority in improving overall control performance.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108437"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172576","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

Security-based asynchronous event-triggered control for passivity analysis of semi-Markov jump cyber-physical systems under aperiodic DoS attacks 基于异步事件触发安全控制的非周期DoS攻击下半马尔可夫跳变网络物理系统被动分析

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-05 DOI: 10.1016/j.jfranklin.2026.108461

A. Chandrasekar , T. Radhika , M. Kamali , Michael Shi

{"title":"Security-based asynchronous event-triggered control for passivity analysis of semi-Markov jump cyber-physical systems under aperiodic DoS attacks","authors":"A. Chandrasekar , T. Radhika , M. Kamali , Michael Shi","doi":"10.1016/j.jfranklin.2026.108461","DOIUrl":"10.1016/j.jfranklin.2026.108461","url":null,"abstract":"<div><div>This study explores the problem of asynchronous event-triggered secure control for semi-Markov jump cyber-physical systems (S-MJCPSs) subjected to time-varying delays (TVDs) and aperiodic denial-of-service (DoS) attacks. To counteract Zeno behavior and eliminate the need for continuous monitoring, a memory-based mode-dependent resilient event-triggering scheme (MMRETS) is devised. This scheme not only enhances transmission efficiency but also improves resilience against DoS attacks. Furthermore, an advanced auxiliary function-dependent integral inequality is introduced to effectively handle the differentiation of the triple integral terms in the lyapunov-krasovskii functional (LKF). Leveraging this refined inequality, passivity conditions with reduced conservatism for S-MJCPSs are established, and the corresponding sufficient conditions are formulated as linear matrix inequalities (LMIs). Lastly, the efficacy and superiority of the proposed approach are validated through two numerical case studies: an aircraft engine system and a robot arm model.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108461"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172502","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

Toward emotionally intelligent e-learning: Real-time engagement detection through fine-tuned deep facial emotion recognition 面向情商高的电子学习：通过微调深度面部情感识别进行实时参与检测

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-09 DOI: 10.1016/j.jfranklin.2026.108477

Hamada El Kabtane , Fatima Zohra Ennaji , Khaoula Elkabtane , Maryam Knouzi , Amal Ourdou

{"title":"Toward emotionally intelligent e-learning: Real-time engagement detection through fine-tuned deep facial emotion recognition","authors":"Hamada El Kabtane , Fatima Zohra Ennaji , Khaoula Elkabtane , Maryam Knouzi , Amal Ourdou","doi":"10.1016/j.jfranklin.2026.108477","DOIUrl":"10.1016/j.jfranklin.2026.108477","url":null,"abstract":"<div><div>Enhancing e-learning systems through engagement monitoring is a critical priority. Adapting e-learning platforms to be responsive to learners’ emotional states is viewed as an innovative approach in this domain. However, a key challenge faced by researchers is determining how to effectively measure and assess student engagement based on their emotional cues and behaviors. Thus, several methods have been developed to evaluate student engagement in online learning environments. Yet, many of these existing methods have focused primarily on detecting the engagement level without adequately considering whether the student is actively engaged in the learning process itself. This paper presents a novel system for real-time engagement detection in online learning environments using facial emotion recognition based on a fine-tuned VGG-19. The proposed system utilizes a camera to capture learners’ facial expressions and classify them into seven emotional states: Angry, Disgust, Fear, Happy, Neutral, Sad, and Surprise. Additionally, the system detects four other states: No face detected, Not looking forward, Sleepiness, and None (devoid of human presence frame). Our experimental evaluations include two tests: the first without assigned weights for the learners’ emotional and states indicators, achieving an accuracy of 87.09%, while the second, with weighted coefficients, resulting in a significant improvement to 95.12%. The weighted approach enhances the system’s ability to prioritize emotional cues, demonstrating its effectiveness in accurately identifying engagement levels. The proposed system has potential applications in enhancing online learning experiences by providing real-time feedback to educators and improving learner engagement.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108477"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172569","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 novel parameter-free filled function method for global optimization and solving nonlinear equation systems 非线性方程组全局优化与求解的无参数填充函数新方法

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-10 DOI: 10.1016/j.jfranklin.2026.108479

Jinlan Liu , Helei Kang , Renyun Liu , Dongpo Xu

{"title":"A novel parameter-free filled function method for global optimization and solving nonlinear equation systems","authors":"Jinlan Liu , Helei Kang , Renyun Liu , Dongpo Xu","doi":"10.1016/j.jfranklin.2026.108479","DOIUrl":"10.1016/j.jfranklin.2026.108479","url":null,"abstract":"<div><div>Global optimization is essential for addressing complex real-world problems characterized by non-convexity and numerous local minima. Traditional gradient-based methods often struggle in such scenarios due to poor convergence to local optima rather than the global solution. To overcome this limitation, we propose a novel parameter-free filled function, an auxiliary construct designed to enhance global optimization algorithms by escaping local optima. The proposed function introduces an inverse cosine component to create a continuously differentiable and completely parameter-free formulation that effectively overcomes the common limitations of false smoothing and numerical instability found in existing filled function methods. Theoretical analysis demonstrates the function’s continuous differentiability and its effectiveness in escaping local optima. Building on this formulation, we develop the Non-Parametric Filled Function algorithm (NPFFF), which alternately minimizes the original objective function and the filled function to traverse the search space. NPFFF eliminates the need for manual parameter tuning, simplifying implementation and enhancing robustness. Complexity analysis indicates that constructing the filled function requires only linear time. Experimental results on standard benchmark functions demonstrate that NPFFF achieves faster convergence and higher accuracy than existing methods. Furthermore, NPFFF successfully solves nonlinear systems of equations by transforming them into global optimization tasks.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108479"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172573","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

Voltage control of a class of underactuated electromechanical systems via an energy shaping approach 一类欠驱动机电系统的能量整形电压控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-10 DOI: 10.1016/j.jfranklin.2026.108512

Jesús Sandoval , Luis Cervantes-Pérez , Isaac Gandarilla , Víctor Santibáñez , César Higuera , Marco Castro-Liera

{"title":"Voltage control of a class of underactuated electromechanical systems via an energy shaping approach","authors":"Jesús Sandoval , Luis Cervantes-Pérez , Isaac Gandarilla , Víctor Santibáñez , César Higuera , Marco Castro-Liera","doi":"10.1016/j.jfranklin.2026.108512","DOIUrl":"10.1016/j.jfranklin.2026.108512","url":null,"abstract":"<div><div>The control of a class of electromechanical systems electrically-driven by brushed Direct Current (DC) motors of permanent magnet is addressed in this paper. An energy shaping approach is used for the voltage controller design, which achieves position/speed regulation of underactuated mechanical systems –those systems with more actuators than degrees of freedom– actuated by DC motors. The main contribution is a control law in terms of voltage feeding each DC motor instead of a torque/force input, which does not need voltage or armature current feedback, but only position measurements and speed. The proposed voltage controller is useful for this class of electrically-driven mechanical systems used in experimental workbenches found in numerous automatic control laboratories. The effectiveness of the proposed controller is demonstrated through two underactuated mechanical systems: the disk-on-disk and the self-balancing robot. For the disk-on-disk system, numerical simulations are provided, whereas for the self-balancing robot, real-time experimental results are displayed.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108512"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172571","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

Event-triggered consensus control for short memory fractional-order multiagent systems with input delay 具有输入延迟的短记忆分数阶多智能体系统的事件触发一致性控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-09 DOI: 10.1016/j.jfranklin.2026.108507

Taotao Hu , Miaomiao Shi , Kaibo Shi , Xianya Wuliu

{"title":"Event-triggered consensus control for short memory fractional-order multiagent systems with input delay","authors":"Taotao Hu , Miaomiao Shi , Kaibo Shi , Xianya Wuliu","doi":"10.1016/j.jfranklin.2026.108507","DOIUrl":"10.1016/j.jfranklin.2026.108507","url":null,"abstract":"<div><div>This article concentrates on the event-triggered consensus control for short memory fractional-order multiagent systems with input delay. First, considering the limitation of network communication resources, an event-triggered consensus strategy with input delay is designed, which only depend on the sampled state information of neighboring agents. It is shown that the proposed event-triggered control strategy is able to effectively adjust the frequency of the information transfer between neighboring agents. Utilizing the fractional Lyapunov stability theory and some inequality techniques, the delay-dependent consensus criteria for fractional-order multiagent systems are established. Meanwhile, analyzing the existence of the lower bound of the triggering time interval for any two continuous events, Zeno behavior is excluded. Finally, some simulations results are given to confirm the correctness of the proposed consensus approach, which show that the designed event-triggered consensus strategy can effectively reduce the communication frequency between neighboring agents compared with the known works.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108507"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172566","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