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

Finite-time sliding mode-based optimization proximity control for spacecraft using enhanced elitist non-dominated sorting genetic algorithm 基于改进精英非支配排序遗传算法的航天器有限时间滑模优化接近控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-10-15 Epub Date: 2026-09-21 DOI: 10.1016/j.jfranklin.2026.109096

Zhihao Zhu, Yu Guo, Zhi Gao

引用次数: 0

Dynamic self-triggered algorithm for distributed Nash equilibrium seeking in constrained multi-agent games 约束多智能体博弈中分布式纳什均衡寻求的动态自触发算法

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-10-15 Epub Date: 2026-09-26 DOI: 10.1016/j.jfranklin.2026.109116

Shuoye Dai, Xinzhi Liu, Yu Zhang

{"title":"Dynamic self-triggered algorithm for distributed Nash equilibrium seeking in constrained multi-agent games","authors":"Shuoye Dai, Xinzhi Liu, Yu Zhang","doi":"10.1016/j.jfranklin.2026.109116","DOIUrl":"10.1016/j.jfranklin.2026.109116","url":null,"abstract":"<div><div>This paper investigates the distributed dynamic self-triggered Nash equilibrium seeking problem for constrained multi-agent games, where the action of each agent is subject to local inequality constraints. A three-part distributed Nash equilibrium seeking strategy is first developed by integrating a tracking controller, a projected gradient play, and a leader-following protocol. To ensure that the state of each agent always remains within the constrained set, a key lemma is established to predict the time instant at which an agent’s state would leave the constrained set. Based on this lemma, a new dynamic self-triggered algorithm is proposed to eliminate the need for continuous measurement, computation, and communication among agents. Moreover, it is shown that, under the proposed strategy, the actions of all agents always satisfy the local inequality constraints and converge exponentially to the Nash equilibrium. In addition, we prove that Zeno behavior is excluded. Finally, two examples are provided to verify the effectiveness of the theoretical results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 16","pages":"Article 109116"},"PeriodicalIF":3.7,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149157281","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The modeling method on fading channels of 2D FMII system and its SMC strategy 二维FMII系统衰落信道建模方法及其SMC策略

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-10-15 Epub Date: 2026-09-26 DOI: 10.1016/j.jfranklin.2026.109121

Xinyu Lv, Yugang Niu, Ju H. Park, Weiwei Sun

{"title":"The modeling method on fading channels of 2D FMII system and its SMC strategy","authors":"Xinyu Lv, Yugang Niu, Ju H. Park, Weiwei Sun","doi":"10.1016/j.jfranklin.2026.109121","DOIUrl":"10.1016/j.jfranklin.2026.109121","url":null,"abstract":"<div><div>This work introduces a novel approach for analyzing and modeling channel fading phenomenon in two-dimensional (2D) Fornasini-Marchesini (FMII) systems framework, where memory-based and memoryless channel fading models are formulated. In the memory fading model, the current network mode probabilistically depends on previous network modes, especially since the previous two points jointly determine the transition probabilities. Differently, the memoryless fading model obeys independent and identically distributed stochastic processes, and its fading coefficients depend on two indexes. The above key features on two kinds of fading channels fully reflect the bidirectional nature of 2D FMII systems. Besides, a total measurement model incorporating memory-based and memoryless fading channels is constructed to depict the intricate communication environment. To overcome measurement limitations, a mode detector is utilized to estimate the actual mode in the memory-based channel. A detection mode-dependent observer and an estimated state-based sliding mode controller are then designed to achieve the desired system performance (stability and reachability), whose gains are determined by an optimization algorithm. Finally, the proposed control scheme is further demonstrated via simulation results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 16","pages":"Article 109121"},"PeriodicalIF":3.7,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149156893","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 stabilization of stochastic delayed control systems on time scales and its application to microgrids 随机时滞控制系统的事件触发镇定及其在微电网中的应用

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-10-15 Epub Date: 2026-09-24 DOI: 10.1016/j.jfranklin.2026.109101

Xinru Zhang, Jun Yang, Xingwen Liu

{"title":"Event-triggered stabilization of stochastic delayed control systems on time scales and its application to microgrids","authors":"Xinru Zhang, Jun Yang, Xingwen Liu","doi":"10.1016/j.jfranklin.2026.109101","DOIUrl":"10.1016/j.jfranklin.2026.109101","url":null,"abstract":"<div><div>This paper investigates the exponential mean-square stabilization of stochastic delayed control systems (SDCSs) on time scales. A new dynamic event-triggered control (DETC) scheme is proposed by combining an <em>exponential decay-rate matching</em> (EDRM) mechanism with explicit time regularization. The EDRM embeds the prescribed decay rate of the Lyapunov function into the triggering threshold, hence enabling systematic absorption of the event-triggering error in the mean-square sense (MSS) within the Lyapunov decay estimate. Simultaneously, time regularization guarantees a positive <em>minimum inter-event time</em> (MIET), thus excluding the Zeno phenomenon on time scales. Through time-scale Lyapunov analysis, sufficient conditions for exponential mean-square stability of the closed-loop system are established via a <em>graininess-dependent</em> <span><math><mrow><mi>L</mi><mi>V</mi></mrow></math></span><em>-inequality</em> with an event-triggering error tail term (ETETT), together with the time-scale counterparts of Itô’s formula, Doob’s martingale inequality, and Gronwall’s inequality. To validate the theoretical results, the derived criteria are applied to semi-linear SDCSs and to secondary voltage control of islanded microgrids on time scales, using the cone complementarity linearization (CCL) algorithm to achieve LMI-based controller synthesis.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 16","pages":"Article 109101"},"PeriodicalIF":3.7,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149156897","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

Learning-enhanced hybrid LPV framework for finite-horizon fault detection with detectability Guarantees 具有可检测性保证的有限水平故障检测的学习增强混合LPV框架

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-10-15 Epub Date: 2026-09-27 DOI: 10.1016/j.jfranklin.2026.109083

Ali Zolghadri

{"title":"Learning-enhanced hybrid LPV framework for finite-horizon fault detection with detectability Guarantees","authors":"Ali Zolghadri","doi":"10.1016/j.jfranklin.2026.109083","DOIUrl":"10.1016/j.jfranklin.2026.109083","url":null,"abstract":"<div><div>Fault detection within prescribed time horizons is a critical requirement for safety-critical systems, where delayed detection may compromise system integrity and operational safety. This paper proposes a hybrid monitoring framework for finite-horizon fault detection in nonlinear systems formulated within the Linear Parameter-Varying (LPV) setting. The approach combines an LPV observer-based residual with a learning-enabled correction term through a convex formulation, enabling an integration of analytical model-based guarantees with data-driven adaptability. Under suitable regularity conditions, explicit time-varying bounds on the hybrid residual are derived using input-to-output stability arguments. These bounds are then exploited to establish formal finite-horizon detectability conditions and to characterize the minimum fault magnitude detectable within a prescribed time window. The proposed framework also provides a systematic procedure for optimizing the balance between model-based robustness and data-driven sensitivity. The effectiveness of the approach is demonstrated on a high-fidelity simulation of the NASA Generic Transport Model (GTM), capturing full 6-DOF dynamics during the approach and landing phase of a large transport aircraft. Results show good agreement between analytical detectability bounds and Monte Carlo estimates, highlighting the ability of the proposed method to deliver reliable and efficient fault detection guarantees.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 16","pages":"Article 109083"},"PeriodicalIF":3.7,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149156892","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

Fully adaptive nash equilibrium seeking for multi-cluster games subject to unknown disturbance and actuator saturation 受未知扰动和致动器饱和影响的多聚类博弈的全自适应纳什均衡寻求

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-10-15 Epub Date: 2026-09-26 DOI: 10.1016/j.jfranklin.2026.109112

Chenxi Hu, Yongzhao Hua, Xiwang Dong, Jianglong Yu, Zhang Ren

{"title":"Fully adaptive nash equilibrium seeking for multi-cluster games subject to unknown disturbance and actuator saturation","authors":"Chenxi Hu, Yongzhao Hua, Xiwang Dong, Jianglong Yu, Zhang Ren","doi":"10.1016/j.jfranklin.2026.109112","DOIUrl":"10.1016/j.jfranklin.2026.109112","url":null,"abstract":"<div><div>Fully adaptive Nash equilibrium (NE) seeking for multi-cluster games with players influenced by input saturation and external disturbance is investigated in this paper. Specifically, an average tracking-based auxiliary system is constructed to estimate the partial gradients of coalition cost which cannot be directly obtained by players. Inspired by the dynamic surface-based technique, an augmented plant is utilized to avoid the troubles caused by actuator saturation and unknown disturbance. Moreover, all feedback gains are devised in the adaptive manner which eliminates the tedious process of determining strategy parameters, and the proposed protocol contains no information about the eigenvalues of Laplacian matrix, the sum of players, the partial gradients’ Lipschitz constants, etc. It is proven that the players with actuator saturation and unknown disturbance in multi-cluster games can converge to NE under the proposed fully adaptive NE seeking strategy. Finally, simulation results are provided to justify the theory.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 16","pages":"Article 109112"},"PeriodicalIF":3.7,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149156895","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 new encryption-based secure control protocol for power systems with PMIDs under FDI attacks 一种基于加密的基于FDI攻击的pmid电力系统安全控制协议

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-10-15 Epub Date: 2026-09-30 DOI: 10.1016/j.jfranklin.2026.109118

Bo Yang, Ruimei Zhang, Beibei Li, Ju H. Park, Hak-Keung Lam

{"title":"A new encryption-based secure control protocol for power systems with PMIDs under FDI attacks","authors":"Bo Yang, Ruimei Zhang, Beibei Li, Ju H. Park, Hak-Keung Lam","doi":"10.1016/j.jfranklin.2026.109118","DOIUrl":"10.1016/j.jfranklin.2026.109118","url":null,"abstract":"<div><div>This paper considers the secure control problem of multi-area power systems with prime-mover internal delays (PMIDs) under false data injection (FDI) attacks. First, based on the T-S fuzzy model method, a T-S fuzzy power system with PMIDs is built to describe the nonlinear characteristic of the output deviation of the governor. Second, to protect the security of the transmission data, a new encryption-based secure control protocol (SCP) is introduced. The encryption-based SCP is based on the RSA cryptographic algorithm and the hash function technique. It can not only protect the confidentiality of transmission data, but also effectively detect the occurrence moments of FDI attacks to ensure the integrity of the data. Third, by the encryption-based SCP, an attack-information-dependent event-trigger (AIDET) is proposed, in which the threshold can be dynamically adjusted according to different attack intensities. Then, under FDI attacks, by the encryption-based SCP and AIDET, exponential stability and exponential stability with <em>H</em><sub>∞</sub> performance criteria are derived for multi-area power systems with PMIDs. Finally, the effectiveness and application of the theoretical results are verified by the IEEE 39-bus system.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 16","pages":"Article 109118"},"PeriodicalIF":3.7,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149156891","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

Reinforcement learning for optimized affine formation maneuver control of high-order switched multi-agent systems with state time delay and input deadzone 具有状态时滞和输入死区的高阶切换多智能体系统仿射编队机动优化的强化学习

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-10-15 Epub Date: 2026-09-26 DOI: 10.1016/j.jfranklin.2026.109114

Muhammad Maaruf, Ghali Ahmad, Ibrahim Khalil Kabir, Muhammad Majid Gulzar, Muhammad Khalid

{"title":"Reinforcement learning for optimized affine formation maneuver control of high-order switched multi-agent systems with state time delay and input deadzone","authors":"Muhammad Maaruf, Ghali Ahmad, Ibrahim Khalil Kabir, Muhammad Majid Gulzar, Muhammad Khalid","doi":"10.1016/j.jfranklin.2026.109114","DOIUrl":"10.1016/j.jfranklin.2026.109114","url":null,"abstract":"<div><div>This paper proposes a simplified identifier-actor-critic reinforcement learning (RL) scheme for optimized leader-follower affine formation maneuver (AFM) control of high-order switched nonlinear multi-agent systems subject to state time delay and input deadzone, where the switched nonlinearities, delayed nonlinearities, and deadzone act in the matched (input) channel of the agents. For such systems of arbitrary order <em>n</em>, applying the existing optimized RL backstepping strategies requires <em>n</em> identifier networks, <em>n</em> actor networks, <em>n</em> critic networks, and <em>n</em> optimized control laws with <span><math><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></math></span> virtual control laws, which incur high computational cost and an explosion of dimensions due to the successive differentiation of the virtual control laws. To overcome this, a filtered-error-surface-based optimized control strategy is developed that requires only one optimized control law, one identifier, one actor, and one critic per agent. The effect of the state time delay is compensated through a Lyapunov-Krasovskii functional, while the uncertain switched nonlinearities and the input deadzone are approximated and compensated by the identifier-actor-critic systems without requiring the persistent excitation condition. The uniform ultimate boundedness of the closed-loop system is established via a common Lyapunov function. Simulation and comparison results are provided to highlight the effectiveness of the proposed scheme.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 16","pages":"Article 109114"},"PeriodicalIF":3.7,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149156894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Robust Interpretable and Adaptive Identification Approach for Wiener System with Incomplete Outputs 不完全输出Wiener系统的鲁棒可解释自适应辨识方法

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-10-13 DOI: 10.1016/j.jfranklin.2026.109151

Xin Liu, Pei Yan

{"title":"Robust Interpretable and Adaptive Identification Approach for Wiener System with Incomplete Outputs","authors":"Xin Liu, Pei Yan","doi":"10.1016/j.jfranklin.2026.109151","DOIUrl":"10.1016/j.jfranklin.2026.109151","url":null,"abstract":"<div><div>This paper addresses robust parameter estimation for Wiener systems with outliers and randomly missing outputs. A unified Student’s <em>t</em>-based identification method is developed within the expectation-maximization framework. The scale-mixture representation of the Student’s <em>t</em>-distribution provides a posterior precision weight for each observed sample. It assigns relatively high weights to clean samples and down-weights outliers without requiring a predefined noise mixture structure. The method infers missing outputs while jointly estimating the model parameters, noise scale and degrees-of-freedom parameter. Key-term separation removes the inherent gain ambiguity and yields a pseudo-linear parameterization when the intermediate signal is fixed. An auxiliary model estimates the unmeasurable intermediate signal and constructs the required regressors. Under the stated regularity and compactness conditions, the observed-data log-likelihood is non-decreasing and bounded above. Hence, the likelihood sequence converges and every interior limit point of the parameter sequence is stationary. Numerical and Monte Carlo studies together with mass–spring–damper and continuous stirred-tank reactor examples demonstrate the accuracy and stability of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 17","pages":"Article 109151"},"PeriodicalIF":3.7,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205169","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

Bicentennial reflections 纪念日的倒影

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-10-01 Epub Date: 2026-08-18 DOI: 10.1016/j.jfranklin.2026.108987

Darryl Williams Ph.D.

引用次数: 0