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

{"title":"2026 Bower Call","authors":"","doi":"10.1016/j.jfranklin.2025.107626","DOIUrl":"10.1016/j.jfranklin.2025.107626","url":null,"abstract":"","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 5","pages":"Article 107626"},"PeriodicalIF":3.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143549347","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":"Mixed H∞ and passivity state estimation for two-time-scale semi-Markov jump coupled neural networks under analog fading channels","authors":"Yongqian Wang,&nbsp;Zhenghao Ni,&nbsp;Jing Wang,&nbsp;Feng Li,&nbsp;Hao Shen","doi":"10.1016/j.jfranklin.2025.107575","DOIUrl":"10.1016/j.jfranklin.2025.107575","url":null,"abstract":"<div><div>In this work, the state estimation issue for the two-time-scale semi-Markov jump coupled neural networks is addressed, in which the information of the system is transmitted through analog fading channels. A singular perturbation parameter is introduced to indicate the two-time-scale characteristics of semi-Markov jump coupled neural networks. Different from the existing Markov processes, this work uses the semi-Markov processes to model the jumping behavior, and further eliminates the restriction of the sojourn time probability distribution. Then, the Lyapunov function is considered to be related to singular perturbation parameters, sojourn times and system modes. Meanwhile, the mean square index stability criterion is introduced. Based on the criterion, the systems are mean square exponentially stable with the given mixed <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> and passivity performance index by using the designed state estimation law. Finally, an illustrative example is used to show the design state estimation law is effective.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107575"},"PeriodicalIF":3.7,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552023","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":"Fully actuated system-based active disturbance rejection saturated attitude control for flexible spacecraft","authors":"Dian Wang ,&nbsp;Yunhua Wu ,&nbsp;Chengfei Yue ,&nbsp;Songjing Ma","doi":"10.1016/j.jfranklin.2025.107613","DOIUrl":"10.1016/j.jfranklin.2025.107613","url":null,"abstract":"<div><div>Flexible spacecraft, characterized by infinite degrees of freedom, pose challenges in attitude control due to complex coupling effects and significant nonlinearities. This paper addresses the attitude control problem for underactuated flexible spacecraft, considering external disturbances, inertia uncertainties, and control input saturation. A novel active disturbance rejection saturated control strategy, which is based on fully actuated system (FAS) theory, is developed to achieve robust attitude stabilization. The approach involves the construction of a fully actuated attitude model for the flexible spacecraft and implementing an extended disturbance observer to estimate uncertain nonlinearities, such as elastic vibrations, system uncertainties, and external disturbances. These estimates are fed into a nonlinear feedforward compensation control. The feedback controller, designed with the direct parametric method, ensures the desired orientation with high precision. Additionally, the inclusion of a dynamic gain filter effectively controls input saturation and significantly enhances flexible vibration suppression. The simulation results validate the effectiveness of the proposed strategy, demonstrating its potential for use in underactuated flexible spacecraft attitude control in practical scenarios.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107613"},"PeriodicalIF":3.7,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143620591","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":"Minimum entropy control for non-Newtonian mechanical systems based on pattern moving probability density evolution","authors":"Cheng Han ,&nbsp;Zhengguang Xu ,&nbsp;Nan Deng","doi":"10.1016/j.jfranklin.2025.107597","DOIUrl":"10.1016/j.jfranklin.2025.107597","url":null,"abstract":"<div><div>Non-Newtonian mechanical systems, as a specific type of system governed by statistical laws, are commonly found in industrial production processes involving solid–liquid transitions. The challenge of describing the statistical characteristics of such systems using deterministic variables (such as state or output variables) often leads existing control methods to either ignore these systems or treat them as systems with disturbances. This approach, however, frequently results in high energy consumption within the control system. To address the system’s inherent statistical characteristics, this paper introduced a statistical variable called the pattern category variable, which replaces traditional deterministic variables in describing system motion. Additionally, a dynamic description and control framework based on probability density evolution was proposed. The conditional probability density was used as a measure for the pattern category variables, and its evolution law was derived using the principles of probability conservation and non-parametric dynamic linearization theory. Building on this, the probability density evolution of the tracking error was further determined, leading to the formulation of a minimum entropy control law based on pattern movement, accompanied by a parameter estimation algorithm. This approach transformed the control problem of non-Newtonian mechanical systems into reducing the randomness of the system’s tracking errors. Finally, the convergence and stability of both the parameter estimation algorithm and the control algorithm were validated through theoretical analysis. The effectiveness of the proposed method was demonstrated through numerical simulations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107597"},"PeriodicalIF":3.7,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143521147","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 event-triggered H∞ leader-following consensus for nonlinear stochastic multi-agent systems with semi-Markov switching topologies and application","authors":"Manlu Ban ,&nbsp;Jianjun Li ,&nbsp;Hongyong Deng ,&nbsp;Yanhong Wang ,&nbsp;Jun Cheng","doi":"10.1016/j.jfranklin.2025.107596","DOIUrl":"10.1016/j.jfranklin.2025.107596","url":null,"abstract":"<div><div>This paper investigates the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> leader–follower mean-square consensus problem for nonlinear stochastic multi-agent systems with semi-Markov switching topologies. We address the scenario where the partial communication topology has a directed spanning tree, thus eliminating the special condition that each communication topology must have a directed spanning tree. Given the finite system resources, to minimize unnecessary waste, an improved dynamic event-triggered protocol is designed. To tackle the modal mismatch between the system and the controller, an asynchronous controller with non-homogeneous hidden semi-Markov chains is introduced. Subsequently, by constructing a suitable Lyapunov function, we derive sufficient conditions for the system to achieve leader–follower <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> mean-square consensus and meet the performance index <span><math><mi>γ</mi></math></span>. Thereafter, the obtained results are applied to address the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> leader–follower mean-square consensus of stochastic multi-agent systems under network attacks. Finally, numerical simulations are employed to validate the effectiveness of the theoretical results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107596"},"PeriodicalIF":3.7,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526665","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":"A novel mid- and long-term time-series forecasting framework for electricity price based on hierarchical recurrent neural networks","authors":"Weiwu Yan ,&nbsp;Peng Wang ,&nbsp;Renchao Xu ,&nbsp;Rui Han ,&nbsp;Enze Chen ,&nbsp;Yongqiang Han ,&nbsp;Xi Zhang","doi":"10.1016/j.jfranklin.2025.107590","DOIUrl":"10.1016/j.jfranklin.2025.107590","url":null,"abstract":"<div><div>This paper proposes an innovative end-to-end time-series decomposition-forecasting framework based on recurrent neural networks called DF-RNN for electricity price. The framework combines an RNN-based decomposition model and an RNN-based forecasting model to perform mid- and long-term time-series forecasting tasks effectively. A hierarchical RNN-based time-series decomposition model is introduced to decompose time series data into trend, seasonal, and residual components. The RNN-based forecasting models generate forecasts for each component series, aggregated to produce the time-series forecast. The DF-RNN model simultaneously optimizes the objective functions of both the time-series decomposition model and the forecasting model, resulting in an optimal time-series forecasting model. The DF-RNN model has a flexible network structure and clear interpretability, making it easy to analyze and understand the results. The effectiveness of the proposed framework is evaluated in a real-world electricity-price forecasting in the European Power Exchange France. The experimental results demonstrate that DF-RNN is a promising and effective mid- and long-term time-series forecasting model.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107590"},"PeriodicalIF":3.7,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552022","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":"Formation tracking control for unmanned vehicles using enhanced sequential convex programming-based model predictive control","authors":"Xiaoming Liu ,&nbsp;Fuchun Wu ,&nbsp;Yunshan Deng ,&nbsp;Ming Wang ,&nbsp;Yuanqing Xia","doi":"10.1016/j.jfranklin.2025.107571","DOIUrl":"10.1016/j.jfranklin.2025.107571","url":null,"abstract":"<div><div>This paper proposes an enhanced sequential convex programming-based model predictive control (ESCPMPC) scheme for formation tracking control problems. Considering coupled input constraints, a tracking error dynamic equation is established based on the position error between the leader and the follower, and a model predictive controller (MPC) is formulated for formation tracking. To improve the real-time control capability, we integrate MPC with sequential convex programming (SCP) by linearizing kinematics and convexifying obstacle avoidance constraints, thereby transforming the nonconvex optimization into a series of convex subproblems. While this approach efficiently approximates the solution to the original nonconvex problem, the linearization errors introduced during each SCP iteration can accumulate and potentially make the optimization problem infeasible. To address this issue, we propose an enhanced SCP (ESCP) method, which corrects these linearization errors. To ensure system stability, a terminal controller and a corresponding terminal set are computed. The recursive feasibility and stability of the proposed method are theoretically demonstrated. Finally, numerical simulations validate the effectiveness and computational efficiency of the proposed method in achieving formation tracking control for unmanned vehicles.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107571"},"PeriodicalIF":3.7,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143601039","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":"Merging rules for strong structural controllability and minimum input problem in undirected networks","authors":"Nam-Jin Park ,&nbsp;Seong-Ho Kwon ,&nbsp;Yoo-Bin Bae ,&nbsp;Byeong-Yeon Kim ,&nbsp;Kevin L. Moore ,&nbsp;Hyo-Sung Ahn","doi":"10.1016/j.jfranklin.2025.107589","DOIUrl":"10.1016/j.jfranklin.2025.107589","url":null,"abstract":"<div><div>This paper explores the conditions for strong structural controllability in structured networks determined by the zero/non-zero patterns of edges. For undirected networks, starting with the fundamental unit for controllability, the path graph, we investigate the strong structural controllability of larger components such as cycles, trees, and ultimately, a pactus (a generalization of the well-known cactus graph) through the merging rules. In this process, we introduce the notion of a component input node, which functions identically to an external input node, providing a new perspective on how internal nodes can facilitate controllability. Furthermore, we offer an intuitive interpretation by decomposing complex graph structures into simpler path graphs and applying merging rules to understand how disjoint controllable components can merge to maintain overall controllability. Finally, we present an algorithm to solve the minimum input problem in a pactus, which leverages the concept of component input nodes to optimize the number of external inputs for strong structural controllability.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107589"},"PeriodicalIF":3.7,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526616","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":"An iterative method for solving the constrained tensor equations with the Einstein product","authors":"Bentelhoda Zali,&nbsp;Saeed Karimi","doi":"10.1016/j.jfranklin.2025.107592","DOIUrl":"10.1016/j.jfranklin.2025.107592","url":null,"abstract":"<div><div>In this paper, we present an iterative method for solving tensor equations, specifically multilinear systems of the form <span><math><mrow><mi>A</mi><msub><mrow><mo>∗</mo></mrow><mrow><mi>N</mi></mrow></msub><mi>X</mi><msub><mrow><mo>∗</mo></mrow><mrow><mi>M</mi></mrow></msub><mi>B</mi><mo>+</mo><mi>C</mi><msub><mrow><mo>∗</mo></mrow><mrow><mi>N</mi></mrow></msub><mi>X</mi><msub><mrow><mo>∗</mo></mrow><mrow><mi>M</mi></mrow></msub><mi>D</mi><mo>=</mo><mi>E</mi></mrow></math></span> with one of the constraints <span><math><mrow><mi>X</mi><mo>=</mo><msup><mrow><mi>X</mi></mrow><mrow><mi>T</mi></mrow></msup></mrow></math></span>, <span><math><mrow><mi>X</mi><mo>=</mo><mi>P</mi><msub><mrow><mo>∗</mo></mrow><mrow><mi>N</mi></mrow></msub><mi>X</mi><msub><mrow><mo>∗</mo></mrow><mrow><mi>M</mi></mrow></msub><mi>Q</mi></mrow></math></span>, <span><math><mrow><mi>X</mi><mo>=</mo><mo>−</mo><mi>P</mi><msub><mrow><mo>∗</mo></mrow><mrow><mi>N</mi></mrow></msub><mi>X</mi><msub><mrow><mo>∗</mo></mrow><mrow><mi>M</mi></mrow></msub><mi>Q</mi></mrow></math></span> and <span><math><mrow><mi>X</mi><mo>=</mo><mi>P</mi><msub><mrow><mo>∗</mo></mrow><mrow><mi>N</mi></mrow></msub><mi>X</mi><msub><mrow><mo>∗</mo></mrow><mrow><mi>N</mi></mrow></msub><mi>P</mi></mrow></math></span>, where <span><math><mi>P</mi></math></span> and <span><math><mi>Q</mi></math></span> are reflexive tensors. The proposed method is grounded in the generalized least squares method with the Einstein product. To address the constrained tensor equation using the global least squares method, we introduce a multilinear operator and its adjoint. For a more detailed survey, we compare the proposed method for solving the constrained tensor equation with one of the matrix format methods for the associated matrix equation. We also use the new method to solve the image restoration problem with a symmetrical structure, as a special case of constrained tensor equation. Finally, we give some examples to illustrate the effectiveness of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107592"},"PeriodicalIF":3.7,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143511009","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":"Selective segmentation of inhomogeneous images based on local clustering and global smoothness","authors":"Lihua Min,&nbsp;Zhe Zhang,&nbsp;Zhengmeng Jin","doi":"10.1016/j.jfranklin.2025.107591","DOIUrl":"10.1016/j.jfranklin.2025.107591","url":null,"abstract":"<div><div>Selective segmentation of inhomogeneous images is a challenging task in computer vision. Most existing distance-based selective segmentation models usually study homogeneous images and seldomly consider intensity inhomogeneity. On the other hand, in order to segment inhomogeneous images, the local intensity clustering (LIC) property of bias field has been considered as an important prior in various segmentation models. In this paper, we propose a new selective segmentation model based on the LIC property and spatial smoothness prior of bias field. To our knowledge, it is the first time that the LIC property is applied in selective segmentation of inhomogeneous images, which is different from the existing distance-based models. In addition, existence of the minimizers to the proposed model is established. By using the heat kernel convolution approximation, we design an effective and fast convergent numerical algorithm for solving the model, which significantly improves the operational speed. Furthermore, the stability of the proposed algorithm is proven. Extensive experiments on synthetic images, brain MR images, liver CT images and LiTS dataset demonstrate the effectiveness of the proposed method, and our method outperforms state-of-the-art methods in terms of selective segmentation accuracy and running efficiency.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107591"},"PeriodicalIF":3.7,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143577060","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}