Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第9页

Dimensionality reduction of hyperspectral imagery based on spatial-spectral neighborhood tensor graph embedding 基于空间-光谱邻域张量图嵌入的高光谱图像降维

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-28 DOI: 10.1016/j.jfranklin.2025.107862

Guangyao Shi, Wenhao Xiang, Feng Chen

{"title":"Dimensionality reduction of hyperspectral imagery based on spatial-spectral neighborhood tensor graph embedding","authors":"Guangyao Shi, Wenhao Xiang, Feng Chen","doi":"10.1016/j.jfranklin.2025.107862","DOIUrl":"10.1016/j.jfranklin.2025.107862","url":null,"abstract":"<div><div>Graph learning techniques have been widely used to address the curse of dimensionality in hyperspectral imagery (HSI). However, these methods often rely on vectorized data representations, and fail to fully exploit the inherent higher-order tensor structure of HSI data. In this paper, we propose a tensor-based dimensionality reduction (DR) method called spatial-spectral neighborhood tensor graph embedding (SNTGE) for HSI classification. First, we introduce a local region covariance distance (LRCD) to measure the similarity between different tensor samples, aiding in the selection of effective neighbors for graph construction. Next, we construct a spectral neighborhood tensor graph based on the spectral correlations between training samples, and a spatial neighborhood tensor graph utilizing the spatial consistency inherent in HSI. Finally, the spectral and spatial neighborhood tensor graphs are combined to enhance the aggregation of HSI data. As a result, the proposed SNTGE method effectively captures discriminative features and improves classification performance for HSI data. Experimental results on two hyperspectral datasets demonstrate the efficiency and superiority of SNTGE over several state-of-the-art DR methods.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 13","pages":"Article 107862"},"PeriodicalIF":3.7,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144713683","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 finite-time stabilization of switched stochastic low-order nonlinear systems with asymmetric time-varying output constraints 具有非对称时变输出约束的开关随机低阶非线性系统的快速有限时间镇定

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-28 DOI: 10.1016/j.jfranklin.2025.107823

Ying Liu , Hui Wang , Quanxin Zhu

{"title":"Fast finite-time stabilization of switched stochastic low-order nonlinear systems with asymmetric time-varying output constraints","authors":"Ying Liu , Hui Wang , Quanxin Zhu","doi":"10.1016/j.jfranklin.2025.107823","DOIUrl":"10.1016/j.jfranklin.2025.107823","url":null,"abstract":"<div><div>This paper investigates the problem of fast finite-time stabilization for switched stochastic low-order nonlinear systems (SSLNSs) with time-varying powers and output constraints. Firstly, we establish a Lyapunov criterion on fast finite-time stability for switched stochastic nonlinear systems (SSNSs). By dividing the operating time into several intervals and analyzing the system’s performance within each interval, the challenges introduced by deterministic switching signals are effectively addressed. Secondly, an asymmetric nonlinear mapping (ANM) is proposed to deal with asymmetric time-varying output constraints. The ANM method overcomes the limitation of barrier Lyapunov function (BLF) method by circumventing the challenge of radial unboundedness associated with BLFs, providing an innovative solution for stabilizing non-Lipschitzian stochastic systems subject to output constraints. Finally, a fast finite-time controller (fast FTCr) incorporating two distinct power terms is designed for a class of SSLNSs. The uncertainties associated with time-varying powers are addressed, and the objective of fast finite-time stabilization is also successfully realized. The efficacy of the proposed control strategy is validated through numerical and simulation examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107823"},"PeriodicalIF":3.7,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144518163","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

Distributed fault-tolerant containment control for heterogeneous piecewise affine multi-agent systems with two-layer structure 异构分段仿射两层多智能体系统的分布式容错控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-27 DOI: 10.1016/j.jfranklin.2025.107802

Shuyi Xiao , Gaowei Yan , Xin Huang , Rong Li

{"title":"Distributed fault-tolerant containment control for heterogeneous piecewise affine multi-agent systems with two-layer structure","authors":"Shuyi Xiao , Gaowei Yan , Xin Huang , Rong Li","doi":"10.1016/j.jfranklin.2025.107802","DOIUrl":"10.1016/j.jfranklin.2025.107802","url":null,"abstract":"<div><div>This paper presents a novel distributed fault-tolerant containment control protocol with two-layer structure for heterogeneous multi-agent systems in which agents are subjected to unknown actuator failures and external disturbances. Especially, the follower agents in this paper are modeled as piecewise affine systems, which can approximate nonlinear systems with arbitrary accuracy, and thus can be applied to more general cases. From the perspective of functional implementation and avoiding fault propagation, the distributed two-layer containment control framework which composed of virtual layer and actual layer is introduced. In this way, the original problem is converted into the containment control issue of virtual layer and the tracking control issue of actual layer. In addition, in order to guarantee the transient performance of agents under actuator failures, the fault-tolerant tracking controller relying on a time-varying performance function is proposed. Finally, simulation studies clarify and verify the developed approach.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107802"},"PeriodicalIF":3.7,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144501382","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

Intermittent stabilization for the spatial-multiple-fractional advection–diffusion–reaction system with time-varying delay driven by Brown motion 布朗运动驱动时变时滞空间-多分数阶平流-扩散-反应系统的间歇稳定

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-27 DOI: 10.1016/j.jfranklin.2025.107776

Xing-Yu Li , Kai-Ning Wu , Yongxin Wu

引用次数: 0

Fault-tolerant control and zonotopic interval estimation for discrete-time linear systems based on an event-triggered mechanism 基于事件触发机制的离散线性系统容错控制与分区区间估计

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-27 DOI: 10.1016/j.jfranklin.2025.107782

Mingliang Tian , Zhihua Guo , Xiangqing Niu , Ben Niu , Chenguang Ning , Wenqi Zhou

{"title":"Fault-tolerant control and zonotopic interval estimation for discrete-time linear systems based on an event-triggered mechanism","authors":"Mingliang Tian , Zhihua Guo , Xiangqing Niu , Ben Niu , Chenguang Ning , Wenqi Zhou","doi":"10.1016/j.jfranklin.2025.107782","DOIUrl":"10.1016/j.jfranklin.2025.107782","url":null,"abstract":"<div><div>This article investigates the problems of fault-tolerant controller (FC) design and zonotopic interval estimation for a class of discrete-time linear systems subject to unknown-but-bounded (UBB) disturbances and measurement noise. Firstly, a state observer and a fault observer are developed to estimate the system state and the sensor fault based on a designed event-triggered mechanism (ETM). Unlike most existing works, the parameter matrices of the FC and the parameters of the ETM are co-designed, reducing conservatism of parameter design while ensuring system performance. Next, to minimize the influence of unknown disturbances and measurement noise on observation accuracy, the <span><math><msub><mrow><mi>l</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> technique is used to optimize the observer gain. Additionally, using the designed observers, the possible intervals of states and sensor faults are determined through reachability analysis using zonotopes. Finally, a simulation of a well-stirred chemical reactor is performed to validate the effectiveness of the proposed approach.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107782"},"PeriodicalIF":3.7,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144518164","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 optimal control for discrete-time Markovian jump linear systems: A Q-learning approach 离散马尔可夫跳变线性系统的无模型最优控制：一种q -学习方法

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-25 DOI: 10.1016/j.jfranklin.2025.107784

Ehsan Badfar, Babak Tavassoli

{"title":"Model-free optimal control for discrete-time Markovian jump linear systems: A Q-learning approach","authors":"Ehsan Badfar, Babak Tavassoli","doi":"10.1016/j.jfranklin.2025.107784","DOIUrl":"10.1016/j.jfranklin.2025.107784","url":null,"abstract":"<div><div>This paper presents a model-free optimal control strategy for discrete-time Markovian Jump Linear Systems (MJLS) using a Q-learning-based reinforcement learning (RL) framework. Conventional model-based control techniques for MJLS rely on full knowledge of system dynamics and the solution of coupled algebraic Riccati equations (CARE), which may not be feasible in many practical scenarios. To overcome this limitation, we propose a novel Q-function formulation that explicitly incorporates the Markovian switching behavior of the system. An off-policy Q-learning algorithm is developed to estimate the kernel matrix of the Q-function directly from raw input-state data, enabling the computation of optimal controller gains without requiring system models. We rigorously prove that the learned controller gains converge to those of the model-based optimal controller, thereby ensuring mean-square stability. Simulation results on a networked control system with Markovian packet losses demonstrate the convergence, stability, and practical effectiveness of the proposed model-free controller.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107784"},"PeriodicalIF":3.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144491563","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

Blind source separation using novel independence interpretations for bounded support random vector 基于有界支持随机向量独立解释的盲源分离

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-25 DOI: 10.1016/j.jfranklin.2025.107819

Bhaveshkumar C. Dharmani , Suman Kumar Mitra , Ayanendranath Basu

{"title":"Blind source separation using novel independence interpretations for bounded support random vector","authors":"Bhaveshkumar C. Dharmani , Suman Kumar Mitra , Ayanendranath Basu","doi":"10.1016/j.jfranklin.2025.107819","DOIUrl":"10.1016/j.jfranklin.2025.107819","url":null,"abstract":"<div><div>Amidst the various existing<em>contrast</em>s for <em>Independent Component Analysis</em> (ICA) and <em>Blind Source Separation</em> (BSS), there remains a demand for a contrast that provides higher accuracy with low computational cost – even when large scale – while remaining unbiased to a particular distribution and robust against outliers and varying sample sizes. Towards this demand, the current article first derives some novel interpretations of statistical independence for bounded support random vectors and then uses those interpretations to develop new class of BSS <em>contrast</em>s. Among them, the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm based <em>contrast</em>s are proved to be robust and estimated directly, in a single stage, using closed-form expressions provided by kernel based linear least squares method. The estimations also serve to extend the existing analogy between <em>Information Theory</em> and <em>Potential Field Theory</em> by introducing a concept of reference information potential. The article uses Genetic Algorithm (GA) and its’ newly derived variant, which is computationally more efficient at higher dimensions, as a global optimization technique within Search for Rotation based ICA (SRICA) algorithm framework. Overall, the simulations prove that the proposed BSS solutions combining the newly derived <em>contrast</em>s with the GA variant for optimization, achieve better separation quality even at large scale and with fewer samples. Furthermore, they remain blind against the distribution of source signals, are robust against outliers, able to avoid misconvergence at local optima, and offer greater accuracy with lower computational cost compared to even exhaustive search methods.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107819"},"PeriodicalIF":3.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144501381","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 dual-mode framework for lifting-based self-triggered model predictive control of linear systems with a guarantee of minimum triggering in steady state 一种保证稳态最小触发的基于提升的线性系统自触发模型预测控制双模框架

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-25 DOI: 10.1016/j.jfranklin.2025.107805

Junsoo Kim, Gyunghoon Park

{"title":"A dual-mode framework for lifting-based self-triggered model predictive control of linear systems with a guarantee of minimum triggering in steady state","authors":"Junsoo Kim, Gyunghoon Park","doi":"10.1016/j.jfranklin.2025.107805","DOIUrl":"10.1016/j.jfranklin.2025.107805","url":null,"abstract":"<div><div>In this paper, we propose a new self-triggered model predictive control (ST-MPC) that stabilizes a class of linear time-invariant systems, under limited communication resource between plant and controller. A remarkable feature of the ST-MPC presented this work is to trigger as little as possible in steady state, by adopting the lifting method in order to realize the dual-mode paradigm in the ST-MPC formulation. In the lifting-based dual-mode framework, the steady-state requirement on minimum triggering can be achieved by driving the system state into a (maximal) positively invariant set constructed based on a large-sized lifted model, for which a new self-triggering mechanism is also proposed to plan a sequence of moments of triggering in transient (that takes place more frequently than in steady state if needed). The solution of a lifting-based discrete-time algebraic Riccati equation (DARE) plays an essential role in the ST-MPC design, whose existence condition and structural properties are thus intensively studied. The recursive feasibility and closed-loop stability are mathematically analyzed, while the validity of the proposed ST-MPC is verified via computer-aided simulation.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107805"},"PeriodicalIF":3.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144571641","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

Robust transceiver beamforming scheme for multi-UAV-enabled integrated sensing and communication systems 多无人机集成传感与通信系统的鲁棒收发器波束形成方案

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-24 DOI: 10.1016/j.jfranklin.2025.107818

Zitong Wang, Zining Wang, Changfeng Ding, Jian Ouyang, Min Lin

{"title":"Robust transceiver beamforming scheme for multi-UAV-enabled integrated sensing and communication systems","authors":"Zitong Wang, Zining Wang, Changfeng Ding, Jian Ouyang, Min Lin","doi":"10.1016/j.jfranklin.2025.107818","DOIUrl":"10.1016/j.jfranklin.2025.107818","url":null,"abstract":"<div><div>Driven by the various sensing demands, integrated sensing and communication (ISAC) is considered as a promising technique in further wireless network. In this paper, we propose a robust transceiver beamforming scheme for multiple unmanned-aerial vehicles (UAVs)-enabled ISAC system to enhance both communication and radar sensing performance. Here, each UAV communicates with the base station (BS) and performs radar sensing for one target in the presence of multiple clutters. In particular, to guarantee robustness against channel uncertainty, we employ the imperfect channel state information (CSI) and formulate a joint optimization problem to maximize the minimal achievable rate of UAVs, subject to the constraints of the signal-to-clutter plus interference and noise ratio requirement and the UAV transmit power budget. To handle the impact of channel uncertainty, we leverage the triangle inequality and Kronecker product properties to transform the worst-case constraints into tractable forms, ensuring robustness against CSI errors. Then, we propose an alternating optimization framework based on semidefinite programming to iteratively optimize transceiver beamformers. Numerical results are provided to demonstrate the robustness and effectiveness of the proposed joint optimization scheme in terms of achievable rate performance.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107818"},"PeriodicalIF":3.7,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144518165","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

Quantification stochastic configuration networks with incremental encoding 用增量编码量化随机构型网络

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-24 DOI: 10.1016/j.jfranklin.2025.107817

Wei Wang , Shujiang Li , Wei Fu

引用次数: 0