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

{"title":"Event-triggered data-driven secure control for unmanned marine vehicles under hybrid attacks","authors":"Li-Ying Hao,&nbsp;Lin-Fan Liu,&nbsp;Huiying Liu","doi":"10.1016/j.jfranklin.2026.108452","DOIUrl":"10.1016/j.jfranklin.2026.108452","url":null,"abstract":"<div><div>Traditional trajectory tracking control methods rely excessively on precise models of unmanned marine vehicles (UMVs). However, due to complex marine environmental disturbances, it is challenging to obtain accurate models for UMVs. Therefore, a data-driven approach is employed for UMVs trajectory tracking control. An improved prediction compensation method is proposed, which incorporates an arctangent function for pseudo Jacobian matrix updating to achieve more accurate predictions compared to traditional methods. Moreover, an event-triggered (ET) mechanism incorporating a dead-zone operator is designed. Compared to fixed triggering conditions, this mechanism balances system performance and triggering frequency by adjusting the parameter of the dead-zone operator, thereby enhancing triggering flexibility. In addition, an improved extended state observer (ESO) is designed by integrating the successfully transmitted output and the predicted output. It effectively addresses the impact of hybrid attacks and ET on the ESO in the disturbed system, enabling the estimation of lumped disturbances. This paper introduces a novel secure control strategy that integrates an attack compensation mechanism with an improved ESO, ensuring that UMVs can reliably track the desired trajectory despite external disturbances and hybrid attacks. The entire design process relies on input/output data only, and simulation comparisons validate the effectiveness of the proposed methods.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108452"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146190053","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":"Directional Information Flow and Chimera States in a Multi-layer FitzHugh–Nagumo Neuronal Network Excited by Local Lévy Noise","authors":"Yanming Liang ,&nbsp;Yongfeng Guo ,&nbsp;Qingzeng Song","doi":"10.1016/j.jfranklin.2026.108405","DOIUrl":"10.1016/j.jfranklin.2026.108405","url":null,"abstract":"<div><div>Abnormal directional propagation of neural signals, as observed in epilepsy, cannot be fully captured by traditional single layer neuronal models driven by Gaussian noise. Departing from prior studies that emphasized Gaussian perturbations or single layer topologies, this work investigates how localized non-Gaussian Lévy noise influences cross-layer synchronization and directional information flow in a multilayer neuronal network. We construct a two-layer FitzHugh-Nagumo (FHN) system with non-local coupling in which only the first layer is exposed to Lévy noise, thereby mimicking focal pathological discharges and enabling the study of interlayer transmission through diffusive coupling. Using transfer entropy (TE) as a directional measure of information flow, we systematically analyze how the noise intensity, stability index, and skewness regulate interlayer communication and synchronization dynamics. The results show that Lévy noise not only induces chimera and solitary states but also drives symmetry breaking in interlayer information flow, with the noise driven layer exerting the dominant regulatory influence. The stability index organizes transitions among synchronized, chimera, and desynchronized regimes, whereas skewness modulates the prevailing direction of information transfer. Notably, directional TE remains elevated even under global desynchronization, indicating persistent causal influence in pathological conditions. These findings reveal a noise induced mechanism for asymmetric information transfer and provide a physiologically grounded framework for modeling epileptic brain dynamics.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108405"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146170836","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 aggregative optimization for nonlinear multi-agent systems with state delays under time-varying graphs using sampling technology","authors":"Cong Li ,&nbsp;Qingling Wang","doi":"10.1016/j.jfranklin.2026.108403","DOIUrl":"10.1016/j.jfranklin.2026.108403","url":null,"abstract":"<div><div>This paper investigates the distributed aggregative optimization (DAO) problem for high-order nonlinear multi-agent systems over time-varying graphs. We first introduce a new class of aggregative regulation variables that integrate sampled neighbor data during each sampling period, these variables are upgraded through an auxiliary function. By leveraging the C-step consensus contraction method alongside these variables, we reformulate the time-varying graphs DAO problem as a regulation problem, thereby facilitating the use of classical control techniques to address complex nonlinear dynamics. Additionally, we propose a control law that incorporates performance functions and aggregative regulation variables to solve the DAO problem for high-order nonlinear agents with state delays. Numerical simulations demonstrate the validity of the proposed framework.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 3","pages":"Article 108403"},"PeriodicalIF":4.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981006","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":"Exponential synchronization of neutral-type neural networks with leakage and mixed delays on time scales","authors":"Vipin Kumar,&nbsp;Roberto Guglielmi","doi":"10.1016/j.jfranklin.2025.108400","DOIUrl":"10.1016/j.jfranklin.2025.108400","url":null,"abstract":"<div><div>This paper explores the concept of exponential synchronization in neutral-type neural networks with mixed delays over arbitrary time domains. We employ a state feedback controller and formulate the problem using the time scales approach, allowing us to address hybrid time domains that include both continuous and discrete-time domains as a special case. Our approach relies on a combination of time scale calculus and the Banach fixed-point theorem, and leads to less restrictive assumptions compared to other techniques. Importantly, the synchronization criterion derived through this approach reduces to a simple, easy-to-verify linear scalar inequality. Furthermore, we present various special cases of the system under consideration and engage in a comprehensive discussion to highlight the advantages of our findings compared to existing results. We validate the effectiveness of our results through simulated numerical examples over different time domains, including an application to secure communication.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 3","pages":"Article 108400"},"PeriodicalIF":4.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981011","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":"Delayed state fragmentation approach for descriptor modeling of half vehicle suspension under retarded sampled data control: An admissibility analysis","authors":"Srinidhi A ,&nbsp;Raja R ,&nbsp;Huang T ,&nbsp;Niezabitowski M ,&nbsp;Xinzhi Liu","doi":"10.1016/j.jfranklin.2025.107936","DOIUrl":"10.1016/j.jfranklin.2025.107936","url":null,"abstract":"<div><div>This study concentrates on the admissibility analysis of descriptor half vehicle suspension system by means of Retarded Sampled Data Control (RSDC) under delayed state fragmentation groundwork. The descriptor form of the half vehicle suspension system is modelled first which describes simultaneously both the static and dynamic behaviour of the system. For the first time, an enhanced delay fragmentation based looped Lyapunov functional is proposed for the singular half-car suspension, which yields promising results in reducing the conservatism of the stability criteria. This approach fully exploits the dynamic features of the current sampling sequence and fragmented delay states. Additionally, a new integral inequality specific to singular system is derived to ensure stability under the prescribed performance index. Finally numerical simulations validate the feasibility and effectiveness of the proposed approach under the maximum sampling time.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 3","pages":"Article 107936"},"PeriodicalIF":4.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145980927","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":"Fault Detection of Unmanned Surface Vehicles Based on the Combination of Supervised and Unsupervised Models","authors":"Chen Zhou ,&nbsp;Hui Ye ,&nbsp;Yizhen Meng ,&nbsp;Xin Tian ,&nbsp;Yang Tao","doi":"10.1016/j.jfranklin.2026.108404","DOIUrl":"10.1016/j.jfranklin.2026.108404","url":null,"abstract":"<div><div>This study proposes an innovative fault detection method for unmanned surface vehicles (USVs), integrating supervised and unsupervised learning to significantly enhance the fault detection rate (FDR) and reduce the false alarm rate (FAR). The core innovation lies in designing a reversible bridging network that efficiently fuses the residual features of unsupervised and supervised models.</div><div>By analyzing multimodal fault characteristics, both unsupervised and supervised neural network models are constructed. The unsupervised model generates residual signals by minimizing reconstruction errors, while the supervised model produces feature residual signals by optimizing the loss function. The reversible bridging network merges the two types of residual features, significantly improving detection accuracy and robustness.</div><div>Simulation experiments demonstrate that the <strong>hybrid model</strong> achieves a fault detection rate of 94.65%, far exceeding the performance of using only unsupervised or supervised models, with a false alarm rate of only 1.15%. This method provides a new technical approach for USV fault diagnosis in complex scenarios, holding significant theoretical and practical application value.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 3","pages":"Article 108404"},"PeriodicalIF":4.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981009","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":"Fixed-time full-state constrained control considering time delay of autonomous underwater vehicle based on prescribed performance and tan-type barrier Lyapunov function","authors":"Yuyang Wang,&nbsp;Yanchao Sun,&nbsp;Huanzhe Zhang,&nbsp;Yipeng Zhao,&nbsp;Shuao Cui,&nbsp;Hongde Qin","doi":"10.1016/j.jfranklin.2025.108385","DOIUrl":"10.1016/j.jfranklin.2025.108385","url":null,"abstract":"<div><div>In this paper, a fixed-time control strategy based on prescribed performance function (PPF) and tan-type Barrier Lyapunov Function (tan-type BLF) is proposed for full-state constrained Autonomous Underwater Vehicle (AUV) considering input time delay. A prescribed performance function and a tan-type BLF are designed for the errors to prevent states from violating constraints, which guarantee the transient and steady state performance of the errors. A virtual control scheme is introduced to solve the singularity problem. The complexity explosion problem is resolved by employing a fixed-time differentiator, which simplifies the computational process and reduces the number of control parameters required. In addition, a radial basis function neural network (RBFNN) is used to estimate external disturbances and model uncertainties. It is proved through the fixed-time stability theory that the proposed control strategy ensures that the errors converge to a small neighborhood near the origin in fixed time considering time delay. Finally, simulation results and comparisons are presented to demonstrate the effectiveness and superiority of the proposed strategy.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 3","pages":"Article 108385"},"PeriodicalIF":4.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145941328","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 H∞ filtering: Computing gain using LMI for backward Euler method-based disturbed models","authors":"José A. Andrade-Lucio,&nbsp;Oscar G. Ibarra-Manzano,&nbsp;Miguel A. Vázquez-Olguín,&nbsp;Yuriy S. Shmaliy","doi":"10.1016/j.jfranklin.2026.108406","DOIUrl":"10.1016/j.jfranklin.2026.108406","url":null,"abstract":"<div><div>Robust <em>H</em>_∞ filtering has been developed using the transfer function approach to provide estimates with guaranteed <em>energy-to-energy</em> performance. In this paper, we use a previously proven bounded real lemma corresponding to the backward Euler method-based disturbed models and show how to numerically compute the bias correction gain <strong>K</strong> for the recursive <em>H</em>_∞ filter, which is uniquely responsible for its performance. The unknown disturbance is viewed as a Gauss-Markov sequence with an uncertain coloredness factor. Since the error covariance is a quadratic function of <strong>K</strong>, two theorems are proved and two algorithms are developed to compute <strong>K</strong> using a linear matrix inequality. A comparison of the <em>H</em>_∞, Kalman, and unbiased finite impulse response (UFIR) filters is provided in terms of mean square error, robustness, and estimation quality. It is shown numerically and experimentally that the gain <strong>K</strong> of the <em>H</em>_∞ filter is between the Kalman gain and the UFIR filter gain, and that under certain conditions the <em>H</em>_∞ filter can outperform both of them.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 3","pages":"Article 108406"},"PeriodicalIF":4.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145980930","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":"Double observers-based node and link synchronization of fuzzy Markovian jump positive complex networks","authors":"Shouting Hong ,&nbsp;Haoyue Yang ,&nbsp;Tarek Raïssi ,&nbsp;Junfeng Zhang","doi":"10.1016/j.jfranklin.2025.108391","DOIUrl":"10.1016/j.jfranklin.2025.108391","url":null,"abstract":"<div><div>This paper investigates the dual-synchronization problem of fuzzy positive Markovian jump complex networks with dynamic links based on double observations. A class of fuzzy positive Markovian jump complex networks is established by introducing dynamic links between nodes. Subsequently, a controller and the corresponding link coupling term are designed to achieve the positive and synchronous of the node systems and the link systems. Then, a synchronization strategy is proposed based on the observations of node and link states. The main contributions are as follows: (i) A dual-synchronization framework is constructed for both nodes and links by designing the controller and the coupling term, (ii) A synchronization control strategy is proposed based on double observers of node subsystems and link subsystems, and (iii) A manageable approach is developed for design and analysis by employing linear programming and constructing co-positive Lyapunov functions. Finally, the effectiveness and feasibility of the proposed approaches are illustrated via simulation examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 3","pages":"Article 108391"},"PeriodicalIF":4.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145980926","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":"Robust tube-based economic model predictive control of nonlinear systems using linear parameter varying approach","authors":"Heithem Boufrioua ,&nbsp;Boubekeur Boukhezzar ,&nbsp;Vicenç Puig","doi":"10.1016/j.jfranklin.2026.108409","DOIUrl":"10.1016/j.jfranklin.2026.108409","url":null,"abstract":"<div><div>Model Predictive Control (MPC) has become a powerful framework for optimizing system performance under constraints. However, when applied to nonlinear systems subject to unknown but bounded uncertainties (UBB), conventional MPC approaches face significant challenges related to computational complexity and robustness. This paper proposes a robust tube-based economic model predictive control (REMPC) method using a linear parameter-varying (LPV) approach for nonlinear systems with unknown but bounded uncertainty, based on nominal predictions. Using a nonlinear embedding approach, the nonlinear model is transformed into an LPV model. The optimal states and inputs found from solving the previous optimization problem are used to estimate the scheduling variables along the prediction horizon while executing the receding horizon strategy. This approach converts the nonlinear optimization problem into a quadratic optimization problem, effectively reducing computational time by leveraging the efficiency inherent in the LPV formulation. Recursive feasibility and input-to-state stability are guaranteed. Recursive feasibility is ensured by tighter constraints, which are computed online using a zonotopic approach based on the disturbance reachable sets. A gain-scheduling <em>H</em>_∞ controller is employed as the local controller to further tighten these constraints. The stability of the proposed approach is ensured by forcing the terminal state to converge towards the optimal equilibrium or working point of the system. Moreover, the terminal constraint is relaxed by using a constraint set around the terminal state instead of a constraint value and adding a penalty on the terminal state in the cost function. Additionally, strict dissipativity is established as a sufficient condition to prove stability. Finally, the effectiveness of the LPV-based REMPC strategy is demonstrated by controlling an isothermal Continuous Stirred Tank Reactor (CSTR), and an REMPC-LPV-based planning approach for a 1/10 scale autonomous remote-controlled (RC) electric car is also tested through simulations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 3","pages":"Article 108409"},"PeriodicalIF":4.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145980931","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}