Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第6页

Stability analysis for stochastic complex reaction–diffusion systems with Lévy noise and Markovian switching 具有lsamvy噪声和马尔可夫切换的随机复杂反应扩散系统的稳定性分析

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-07 DOI: 10.1016/j.jfranklin.2025.107755

Wenting Li , Yucai Ding , Jun Cheng

引用次数: 0

An image encryption scheme based on new hyperchaos and encrypted kinoform 一种基于新超混沌和加密相形的图像加密方案

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-06 DOI: 10.1016/j.jfranklin.2025.107794

Xinru Li, Lin Teng

{"title":"An image encryption scheme based on new hyperchaos and encrypted kinoform","authors":"Xinru Li, Lin Teng","doi":"10.1016/j.jfranklin.2025.107794","DOIUrl":"10.1016/j.jfranklin.2025.107794","url":null,"abstract":"<div><div>This paper presents a new hyperchaotic system with excellent chaotic properties and a secure method for generating encrypted kinoforms. Based on these two techniques, a novel image encryption scheme is introduced. First, a two-dimensional (2D) hyperchaotic map, called 2D-SCM, is proposed, which combines the Sine map and the Cubic map. The chaotic properties of the system are evaluated through bifurcation diagrams, Lyapunov exponent spectra, phase diagrams, etc. The results indicate that the system exhibits excellent ergodicity and a broad range of hyperchaotic behavior. Second, to enhance the security and reduce the number of iterations, a method for fabricating encrypted kinoforms in the 2D non-separable linear canonical transform domain by use of the improved Fienup Gerchberg-Saxton algorithm is designed. Finally, an image encryption scheme is developed that combines the 2D-SCM hyperchaotic map with encrypted kinoform techniques. During the encryption process, the plaintext image is first shuffled using a 2D-SCM-based scrambling algorithm. The scrambled image is then used to generate the encrypted kinoform, which is subsequently decomposed into bit-planes and subjected to 2D-SCM-based cyclic shifts and XOR operations to obtain the final ciphertext. Experimental results demonstrate that the proposed image encryption scheme achieves a key space of 10¹⁸⁰, significantly exceeding those of traditional hyperchaos-based and holography-based methods. It also exhibits superior performance in local Shannon entropy tests compared to state-of-the-art algorithms, indicating enhanced randomness in the encrypted images. Furthermore, when the mean-squared error threshold is set to 10⁻³, the scheme offers greater encryption efficiency than the referenced methods, while maintaining reconstructed image quality above 30 dB, ensuring visual acceptability. These attributes contribute to the scheme's robust resistance against statistical, differential, and brute-force attacks.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 11","pages":"Article 107794"},"PeriodicalIF":3.7,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144263602","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 ternary-latent variable structure for monitoring of dynamic processes with multiple sampling rates 一种用于多采样率动态过程监测的新型三元潜变结构

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-06 DOI: 10.1016/j.jfranklin.2025.107797

Ze Ying , Yuqing Chang , Fuli Wang

{"title":"A novel ternary-latent variable structure for monitoring of dynamic processes with multiple sampling rates","authors":"Ze Ying , Yuqing Chang , Fuli Wang","doi":"10.1016/j.jfranklin.2025.107797","DOIUrl":"10.1016/j.jfranklin.2025.107797","url":null,"abstract":"<div><div>The monitoring of quality-related aspects in multi-sampling rate dynamic processes has consistently been a research focus in recent years. This paper investigates a novel ternary-latent variable structure, which aims to provide a comprehensive explanation for the correlations among variables observed at different sampling rates. The structure incorporates three types of latent variables formed through a first-order Markov chain. The first type of latent variables is designed to capture dynamic information related to quality (RTQ), while the other two types can offer additional insights into the first type by focusing on information unrelated to quality (UTQ) and unrelated to process (UTP). Furthermore, an adaptive parameter training method, namely expectation maximization algorithm, is employed to obtain posterior estimates of each type of latent variable in an incomplete data collection. The study concludes by proposing a fault detection method based on the multi-sampling rate dynamic ternary-latent variable (MDTLV) model, which demonstrates superior monitoring performance compared to similar approaches in experimental evaluations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 11","pages":"Article 107797"},"PeriodicalIF":3.7,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144298780","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

Adaptive asymptotic switched tracking control for a cross-media vehicle 跨媒体车辆的自适应渐近切换跟踪控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-04 DOI: 10.1016/j.jfranklin.2025.107750

Shichong Wu , Jun Xian , Lingli Xie

{"title":"Adaptive asymptotic switched tracking control for a cross-media vehicle","authors":"Shichong Wu , Jun Xian , Lingli Xie","doi":"10.1016/j.jfranklin.2025.107750","DOIUrl":"10.1016/j.jfranklin.2025.107750","url":null,"abstract":"<div><div>This paper develops a reinforcement learning-based adaptive asymptotic switched trajectory tracking control strategy for a cross-media vehicle (CMV) suffering from unknown hydrodynamics and external disturbances. A novel switched system framework is reported for the modeling of the vehicle. To better handle the unknown hydrodynamics and optimize the control performance, a reinforcement learning (RL) methodology is presented. The adaptive technique is then introduced to estimate the external disturbances. Subsequently, the asymptotic switched tracking control scheme is designed for the CMV. Compared with existing approaches, the proposed method has the following merits: it develops the switched system framework and switched control synthesis for CMV systems, thereby mitigating modeling and control conservatism; the RL strategy offers the control algorithm with effective compensation for unknown hydrodynamics, while giving optimized control performance; moreover, the asymptotic tracking performance rather than the bounded tracking responses is obtained. Lastly, the simulation is run to demonstrate the scheme’s effectiveness and superiority.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 11","pages":"Article 107750"},"PeriodicalIF":3.7,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144255016","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

Fixed-time adaptive fault-tolerant control for uncertain switched nonlinear systems without singularity 无奇点不确定切换非线性系统的定时自适应容错控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-03 DOI: 10.1016/j.jfranklin.2025.107752

Wen-Nian Qi , Rui-Qi Dong , Ying Zhang

引用次数: 0

Dynamic inversion- and neural network- based five-stage cascaded control for automatic carrier landing subject to multiple disturbances and uncertainties 基于动态反演和神经网络的多干扰不确定条件下航母自动降落五级控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-01 DOI: 10.1016/j.jfranklin.2025.107719

Mihai Lungu , Mou Chen , MohammadReza Ebrahimpour , Hongzhen Guo

{"title":"Dynamic inversion- and neural network- based five-stage cascaded control for automatic carrier landing subject to multiple disturbances and uncertainties","authors":"Mihai Lungu , Mou Chen , MohammadReza Ebrahimpour , Hongzhen Guo","doi":"10.1016/j.jfranklin.2025.107719","DOIUrl":"10.1016/j.jfranklin.2025.107719","url":null,"abstract":"<div><div>This work proposes a novel control scheme for automatic carrier landing to enhance the landing precision and improve both the tracking of the reference trajectory and the touchdown accuracy. First, the nonlinear dynamics of the carrier-based aircraft is written under a five-stage cascaded strict feedback form. Then, a robust automatic carrier landing system (ACLS) is proposed by employing a novel nonlinear dynamic inversion (NDI)-based control approach, disturbance observers (for estimating the airwake and wind type disturbances), radial basis function neural networks (RBFNNs) for the estimation of the parametric uncertainties, a block based on a recursive least squares algorithm (for the deck motion prediction), a deck motion compensation subsystem, a block for updating the aircraft reference trajectory, and first-order command filters (for computing the required reference signals). The NDI- and RBFNN- based automatic carrier landing system consists of a guidance subsystem, attitude control subsystems, an angular rates’ control subsystem, and an approach power compensation system. The stability properties of the disturbance observers, controllers, RBFNNs, and command filters are integrated into a Lyapunov-based analysis to prove the stability of the closed-loop control architecture. Finally, the effectiveness of the presented automatic carrier landing system is verified by means of comparative numerical simulations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 9","pages":"Article 107719"},"PeriodicalIF":3.7,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279146","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

Adaptive neural backstepping control for nonstrict-feedback stochastic nonlinear systems with input delay and asymmetric time-varying constraints 具有输入延迟和非对称时变约束的非严格反馈随机非线性系统的自适应神经反步控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-31 DOI: 10.1016/j.jfranklin.2025.107751

Guangying Lv , Yeqing Shan , Fengyun Li , Yinqiu Zhang

引用次数: 0

A brief survey on dynamical systems with saturated impulses 具有饱和脉冲的动力系统综述

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-31 DOI: 10.1016/j.jfranklin.2025.107753

Hongjuan Wu , Chuandong Li , Zhilong He

引用次数: 0

Extended dissipativity analysis of semi-discretized multi-delayed memristive Cohen–Grossberg neural networks via non-fragile synchronization approach 基于非脆弱同步方法的半离散多延迟记忆Cohen-Grossberg神经网络的扩展耗散分析

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-31 DOI: 10.1016/j.jfranklin.2025.107754

B. Adhira , Santo Banerjee , G. Nagamani

引用次数: 0

Stabilization of stochastic nonlinear semi-Markov jump systems via aperiodic intermittent feedback control 随机非线性半马尔可夫跳变系统的非周期间歇反馈镇定

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-29 DOI: 10.1016/j.jfranklin.2025.107749

Dalin Zhu, Quanxin Zhu

引用次数: 0