Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第10页

Enhanced shadow removal using space-variant anisotropic PDEs and tensor-based osmosis models 利用空间变各向异性偏微分方程和基于张量的渗透模型增强阴影去除

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2025-12-20 DOI: 10.1016/j.jfranklin.2025.108315

Fakhr-Eddine Limami , Aissam Hadri , Amine Laghrib , Lekbir Afraites

引用次数: 0

Practical input-to-state stability of switched stochastic delay nonlinear systems and its application to hysteretic mechanical systems 开关随机时滞非线性系统的实际输入状态稳定性及其在滞回机械系统中的应用

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2026-01-04 DOI: 10.1016/j.jfranklin.2025.108382

Tianze Xie , Hui Wang , Jian Ding , Quanxin Zhu

{"title":"Practical input-to-state stability of switched stochastic delay nonlinear systems and its application to hysteretic mechanical systems","authors":"Tianze Xie , Hui Wang , Jian Ding , Quanxin Zhu","doi":"10.1016/j.jfranklin.2025.108382","DOIUrl":"10.1016/j.jfranklin.2025.108382","url":null,"abstract":"<div><div>Existing literature on input-to-state stability (ISS) primarily focuses on transient responses and robustness to external disturbances, yet it often fails to capture the inherent modeling bias in systems like those exhibiting mechanical hysteresis. To address this limitation, we introduce the concept of practical ISS for switched stochastic nonlinear time-delay systems (SSNTDSs), which provides a comprehensive framework for analyzing robustness against both internal bias and external disturbances. Acknowledging potential mismatches between the controller and subsystems, we establish less conservative criteria for practical ISS using Lyapunov-Razumikhin functions (LRFs) with indefinite differential operators. Furthermore, to accommodate mode variability and relax stringent constraints on switching signals, we develop a novel condition based on the mode-dependent average dwell time (MDADT) technique. This condition is specifically tailored for asynchronous switching and notably maintains consistency with the synchronous case, reducing to the classical condition when the switching signal delay approaches zero. The practical relevance of our work is highlighted through the extension of an exponential stability criterion and its successful application to a mechanical system with backlash hysteresis.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 3","pages":"Article 108382"},"PeriodicalIF":4.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145915210","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

L1/L− fault detection filtering for delayed 2-D continuous positive Markov jump systems 延时二维连续正马尔可夫跳变系统的L1/L−故障检测滤波

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2026-01-08 DOI: 10.1016/j.jfranklin.2025.108387

Zhaoxia Duan , Yuyan Fu , Choon Ki Ahn , Zhengrong Xiang

{"title":"L1/L− fault detection filtering for delayed 2-D continuous positive Markov jump systems","authors":"Zhaoxia Duan , Yuyan Fu , Choon Ki Ahn , Zhengrong Xiang","doi":"10.1016/j.jfranklin.2025.108387","DOIUrl":"10.1016/j.jfranklin.2025.108387","url":null,"abstract":"<div><div>This paper aims to design a fault detection (FD) filter for continuous two-dimensional (2-D) Markov jump positive systems (MJPSs) with constant state delays that ensures the stochastic stability and <em>L</em><sub>1</sub>/<span><math><msub><mi>L</mi><mo>−</mo></msub></math></span> performances of the filtering augmented system. The <em>L</em><sub>1</sub>-gain and <span><math><msub><mi>L</mi><mo>−</mo></msub></math></span> performances of the delayed continuous 2-D MJPSs are investigated, and their exact values can be calculated. Necessary and sufficient conditions for ensuring the <em>L</em><sub>1</sub>-gain performance and <span><math><msub><mi>L</mi><mo>−</mo></msub></math></span> index of the system are derived. On this basis, sufficient conditions for the existence of the mixed <span><math><mrow><msub><mi>L</mi><mn>1</mn></msub><mo>/</mo><msub><mi>L</mi><mo>−</mo></msub></mrow></math></span> FD filter are achieved and then are solved via an iterative algorithm. Finally, a numerical example validates the preceding theoretical findings.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 3","pages":"Article 108387"},"PeriodicalIF":4.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145980924","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

Predictive-Deception-Attack-Detection-Based secure control for switched systems 基于预测-欺骗-攻击-检测的交换系统安全控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2026-01-08 DOI: 10.1016/j.jfranklin.2026.108411

Bin Lu , Lili Li , Jinqi Liu , Xiaowei Zhao

引用次数: 0

Robust model predictive control with probabilistic bit flips under constrained bit rate 约束比特率下具有概率比特翻转的鲁棒模型预测控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2026-01-08 DOI: 10.1016/j.jfranklin.2026.108410

Wei Zhang , Yu Zhang , Tianhao Su , Yao Li

{"title":"Robust model predictive control with probabilistic bit flips under constrained bit rate","authors":"Wei Zhang , Yu Zhang , Tianhao Su , Yao Li","doi":"10.1016/j.jfranklin.2026.108410","DOIUrl":"10.1016/j.jfranklin.2026.108410","url":null,"abstract":"<div><div>This paper mainly studies the model predictive control problem with probabilistic bit flips under constrained bitrate limitations. Since the bitrate required for data transmission often exceeds the maximum bitrate that the system can provide, the transmitted data needs to be quantized to meet the bitrate requirements. The quantized data is encoded into binary data streams for long-distance transmission. However, due to external interferences such as channel noise, certain bits in the binary data streams may flip between 0 and 1, causing flip errors that affect subsequent control.Therefore, this paper quantizes data into specific intervals through a uniform quantizer and establishes a mathematical model of probabilistic bit flips by incorporating the description of bit probability flips using Bernoulli distributions. By combining it with polyhedral uncertain systems, the impacts of quantization and bit flips are transformed into system uncertainties, which are then uniformly handled in model predictive control. Considering the difficulty of obtaining system states in practical scenarios, a dynamic output feedback control framework under robust model predictive control is proposed. Singular value decomposition technology is used to address the non-convexity in the system, and solvable auxiliary optimization problems are proposed. Additionally, sufficient criteria for the mean-square stability of system states are provided. Finally, the effectiveness of the proposed method is verified through two simulation cases.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 3","pages":"Article 108410"},"PeriodicalIF":4.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145980929","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

Fast data-driven iterative learning control for linear system with output disturbance 具有输出扰动的线性系统的快速数据驱动迭代学习控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-02-01 Epub Date: 2026-01-11 DOI: 10.1016/j.jfranklin.2026.108414

Jia Wang , Leander Hemelhof , Ivan Markovsky , Panagiotis Patrinos

引用次数: 0

Dy-mer: An explainable DNA sequence representation scheme using dictionary learning 使用字典学习的可解释的DNA序列表示方案

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-01-15 Epub Date: 2025-12-18 DOI: 10.1016/j.jfranklin.2025.108307

Zhiyuan Peng, Naifan Zhang, Yuanbo Tang, Yang Li

{"title":"Dy-mer: An explainable DNA sequence representation scheme using dictionary learning","authors":"Zhiyuan Peng, Naifan Zhang, Yuanbo Tang, Yang Li","doi":"10.1016/j.jfranklin.2025.108307","DOIUrl":"10.1016/j.jfranklin.2025.108307","url":null,"abstract":"<div><div>DNA sequences encode critical genetic information, yet their variable length and discrete nature impede direct utilization in deep learning models. Existing DNA representation schemes convert sequences into numerical vectors but fail to capture structural features of local subsequences and often suffer from limited interpretability and poor generalization on small datasets. To address these limitations, we propose <strong>Dy-mer</strong>, an interpretable and robust DNA representation scheme based on dictionary learning. Dy-mer formulates an optimization problem in tensor format, which ensures computational efficiency in batch processing. Our scheme reconstructs DNA sequences as concatenations of dynamic-length subsequences (dymers) through a convolution operation and simultaneously optimize a learnable dymer dictionary and sparse representations. Our method achieves state-of-the-art performance in downstream tasks such as DNA promoter classification and motif detection. Experiments further show that the learned dymers match known DNA motifs and clustering using Dy-mer yields semantically meaningful phylogenetic trees. These results demonstrate that the proposed approach achieves both strong predictive performance and high interpretability, making it well suited for biological research applications.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 2","pages":"Article 108307"},"PeriodicalIF":4.2,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145837880","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

Model-free adaptive sliding mode security control under hybrid attacks: A dual-observer approach via partial format dynamic linearization 混合攻击下的无模型自适应滑模安全控制：基于部分格式动态线性化的双观测器方法

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-01-15 Epub Date: 2025-12-18 DOI: 10.1016/j.jfranklin.2025.108364

Ning Zhang , Yugang Niu , Wenhai Qi

{"title":"Model-free adaptive sliding mode security control under hybrid attacks: A dual-observer approach via partial format dynamic linearization","authors":"Ning Zhang , Yugang Niu , Wenhai Qi","doi":"10.1016/j.jfranklin.2025.108364","DOIUrl":"10.1016/j.jfranklin.2025.108364","url":null,"abstract":"<div><div>This paper considers the problem of model-free adaptive sliding mode control (MFASMC) for nonlinear networked control systems (NCSs), in which both random deception attacks and intermittent denial-of-service (DoS) attacks may occur in the data transmission channel from sensor to controller. Based on the partial format dynamic linearization (PFDL) model, a dual-observer structure consisting of an adaptive observer and a sliding mode disturbance observer is constructed. The adaptive observer is proposed to estimate the unavailable system output under DoS attacks, meanwhile, the composite disturbance that includes external disturbance and unmodeled dynamics is estimated via a sliding mode disturbance observer. Under this dual-observer frame, the designed MFASMC law can be updated in real time to mitigate the impact of the attacks and the composite disturbance with unknown boundary such that the boundedness of the desired output tracking error can be ensured. Finally, the proposed MFASMC strategy is verified by two examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 2","pages":"Article 108364"},"PeriodicalIF":4.2,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145837953","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

An efficient high-order iterative method to solve systems of nonlinear equations with applications to differential equations and image processing 求解非线性方程组的一种有效的高阶迭代方法，并在微分方程和图像处理中有应用

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-01-15 Epub Date: 2025-12-17 DOI: 10.1016/j.jfranklin.2025.108332

Raziyeh Erfanifar, Masoud Hajarian

{"title":"An efficient high-order iterative method to solve systems of nonlinear equations with applications to differential equations and image processing","authors":"Raziyeh Erfanifar, Masoud Hajarian","doi":"10.1016/j.jfranklin.2025.108332","DOIUrl":"10.1016/j.jfranklin.2025.108332","url":null,"abstract":"<div><div>Many scientific disciplines, from basic sciences to engineering, frequently encounter the challenge of solving systems of nonlinear problems. Addressing this challenge demands the development of accurate and efficient computational methods. In this work, we propose a novel multi-step iterative method that achieves an exceptional convergence order of <span><math><mrow><mn>3</mn><mi>m</mi><mo>+</mo><mn>2</mn></mrow></math></span>, where <em>m</em> ≥ 3 denotes the number of iterative steps. This method significantly enhances computational efficiency without compromising accuracy, as it requires only a single evaluation and inversion of the Jacobian matrix per iteration cycle. To further optimize performance, the linear systems arising at every step are solved via LU decomposition, bypassing the computational burden of direct matrix inversion. As a result, the proposed method attains a higher convergence order than existing multi-step methods while maintaining comparable computational costs. Its efficiency makes it particularly well-suited for large-scale problems, where computational overhead is a critical concern. To validate the method’s effectiveness, we conducted comprehensive numerical experiments, assessing its efficiency, accuracy, and the geometry of its basins of attraction. The results consistently aligned with theoretical predictions, demonstrating the method’s superior performance over conventional approaches. Additionally, the method to solve standard nonlinear systems commonly arising in science and engineering is applied. Finally, we extended its application to image processing tasks, where it effectively addressed systems of nonlinear problem. The numerical outcomes underscored the method’s robustness, stability, and potential to outperform traditional iterative methods.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 2","pages":"Article 108332"},"PeriodicalIF":4.2,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145837951","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

Finite-time set stabilization of probabilistic boolean control networks: A robust optimal control approach 概率布尔控制网络的有限时间集镇定：一种鲁棒最优控制方法

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-01-15 Epub Date: 2025-12-19 DOI: 10.1016/j.jfranklin.2025.108325

Qiliang Zhang , Ze Wang , Jianfang Jiao , Yongyuan Yu

引用次数: 0