Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第2页

Linear and nonlinear filters based on statistical similarity measure for sensor network systems 基于传感器网络系统统计相似性测量的线性和非线性滤波器

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-19 DOI: 10.1016/j.jfranklin.2024.107412

Jiahui Yang, Shesheng Gao, Xuehua Zhao, Guo Li

{"title":"Linear and nonlinear filters based on statistical similarity measure for sensor network systems","authors":"Jiahui Yang, Shesheng Gao, Xuehua Zhao, Guo Li","doi":"10.1016/j.jfranklin.2024.107412","DOIUrl":"10.1016/j.jfranklin.2024.107412","url":null,"abstract":"<div><div>In this paper, to address the non-Gaussian noise issue in linear and nonlinear sensor network systems, one centralized and two distributed state estimation algorithms are designed by introducing a statistical similarity measure (SSM). Firstly, a modified cost function is constructed for the linear sensor network system based on SSM, and a centralized SSM Kalman filtering (CSSMKF) algorithm is derived by maximizing the lower bound of the cost function. Secondly, a distributed SSM information filtering (DSSMIF) algorithm is designed by introducing a weighted average consensus (WAC) strategy, which approximates the information form of CSSMKF in a distributed manner. Then, a distributed SSM cubature information filtering (DSSMCIF) algorithm is developed to handle the non-Gaussian noise in the nonlinear sensor network system. Furthermore, the mean squared estimation errors of DSSMIF and DSSMCIF are proved to be exponentially bounded. Finally, the simulation results confirm that the proposed algorithms outperform the existing methods by at least 10 % in position accuracy and 5 % in velocity accuracy, respectively.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107412"},"PeriodicalIF":3.7,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142703146","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 fixed-time fuzzy control for delayed recycling continuous stirred tank reactor with asymmetric time-varying full-state constraints 具有非对称时变全状态约束条件的延迟循环连续搅拌罐反应器的自适应定时模糊控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-19 DOI: 10.1016/j.jfranklin.2024.107410

Yufei Chen , Bo Tang , Qihuai Liu

{"title":"Adaptive fixed-time fuzzy control for delayed recycling continuous stirred tank reactor with asymmetric time-varying full-state constraints","authors":"Yufei Chen , Bo Tang , Qihuai Liu","doi":"10.1016/j.jfranklin.2024.107410","DOIUrl":"10.1016/j.jfranklin.2024.107410","url":null,"abstract":"<div><div>Recently, there are some results concerning stability and finite-time stability control for continuous stirred tank reactors (CSTR). However, when considering the control of time-delay CSTR systems or fixed-time stability of CSTR systems, there are relatively few articles involved. In this paper, we first consider the CSTR system that includes both of the above factors simultaneously, that is, the adaptive fixed-time fuzzy control design problem for a CSTR with a delayed recycle stream and asymmetric time-varying full-state constraints. Firstly, based on existing works, we present an improved practical fixed-time stability criterion, which can be applied to more complex nonlinear systems. Then, we construct time-varying asymmetric integral barrier Lyapunov functions to handle asymmetric time-varying full-state constraints. Next, fuzzy logic systems are used to approximate the unknown functions of the system, and a sliding mode differentiator is introduced to avoid the “explosion of complexity” of the time derivative of the virtual controller. Furthermore, using the improved practical fixed-time stability criterion, we present the adaptive fixed-time fuzzy controller design processes that can ensure tracking performance in a fixed-time, and states of the system never violate their constraint bounds. Finally, a simulation example is provided to verify the effectiveness of the proposed control strategy.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107410"},"PeriodicalIF":3.7,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142703142","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

Linear convergence for distributed stochastic optimization with coupled inequality constraints 具有耦合不等式约束的分布式随机优化的线性收敛性

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-19 DOI: 10.1016/j.jfranklin.2024.107405

Kaixin Du , Min Meng , Xiuxian Li

引用次数: 0

On the stability of memory-dependent multi-agent systems under DoS attacks 论 DoS 攻击下依赖内存的多代理系统的稳定性

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-17 DOI: 10.1016/j.jfranklin.2024.107402

Ricardo Almeida , Ewa Girejko , Luís Machado , Agnieszka B. Malinowska , Natália Martins

引用次数: 0

Event-based passive filtering for Markov jump singularly perturbed complex networks 马尔可夫跃迁奇异扰动复杂网络的基于事件的被动滤波

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-17 DOI: 10.1016/j.jfranklin.2024.107403

Tingting Ru , Chengyu Yang

引用次数: 0

Generic network sparsification via hybrid edge sampling 通过混合边缘采样实现通用网络稀疏化

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-16 DOI: 10.1016/j.jfranklin.2024.107404

Zhen Su , Jürgen Kurths , Henning Meyerhenke

{"title":"Generic network sparsification via hybrid edge sampling","authors":"Zhen Su , Jürgen Kurths , Henning Meyerhenke","doi":"10.1016/j.jfranklin.2024.107404","DOIUrl":"10.1016/j.jfranklin.2024.107404","url":null,"abstract":"<div><div>Network (or graph) sparsification benefits downstream graph mining tasks. Finding a sparsified subgraph <span><math><mover><mrow><mi>G</mi></mrow><mrow><mo>ˆ</mo></mrow></mover></math></span> similar to the original graph <span><math><mi>G</mi></math></span> is, however, challenging due to the requirement of preserving various (or at least representative) network properties. In this paper, we propose a general hybrid edge sampling scheme named LOGA, as the combination of the <u>Lo</u>cal-filtering-based Random Edge sampling (LRE) (Hamann et al., 2016) and the <u>Ga</u>me-theoretic Sparsification with Tolerance (GST) (Su et al., 2022). LOGA fully utilizes the advantages of GST — in preserving complex structural properties by preserving local node properties in expectation – and LRE – in preserving the connectivity of a given network. Specifically, we first prove the existence of multiple equilibria in GST. This insight leads us to propose LOGA and its variant LOGA<span><math><msup><mrow></mrow><mrow><mi>s</mi><mi>c</mi></mrow></msup></math></span> by refining GST. LOGA is obtained by regarding LRE as an empirically good initializer for GST, while LOGA<span><math><msup><mrow></mrow><mrow><mi>s</mi><mi>c</mi></mrow></msup></math></span> is obtained by further including a constrained update for GST. In this way, LOGA/LOGA<span><math><msup><mrow></mrow><mrow><mi>s</mi><mi>c</mi></mrow></msup></math></span> generalize the work on GST to graphs with weights and different densities, without increasing the asymptotic time complexity. Extensive experiments on 26 weighted and unweighted networks with different densities demonstrate that LOGA<span><math><msup><mrow></mrow><mrow><mi>s</mi><mi>c</mi></mrow></msup></math></span> performs best for all 26 instances, i.e., they preserve representative network properties better than state-of-the-art sampling methods alone.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107404"},"PeriodicalIF":3.7,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142702996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Chattering-free and finite-time estimation of the time-varying geometrical center for the multi-targets enclosing control problem 多目标包围控制问题的时变几何中心的无喋喋不休和有限时间估计

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-14 DOI: 10.1016/j.jfranklin.2024.107394

Liang Zhang , Jun Song , Shuping He

{"title":"Chattering-free and finite-time estimation of the time-varying geometrical center for the multi-targets enclosing control problem","authors":"Liang Zhang , Jun Song , Shuping He","doi":"10.1016/j.jfranklin.2024.107394","DOIUrl":"10.1016/j.jfranklin.2024.107394","url":null,"abstract":"<div><div>This paper investigates the finite-time estimation of the time-varying Geometrical Center of Targets (GCT) in Multi-Target Enclosing Control Problem (MTECP). Existing estimators exhibit a chattering phenomenon that is harmful to the mechanical components of the deployed robots when forming the enclosing formation. We thereby propose two chattering-free finite-time estimators, employing a fully distributed approach demanding only the local observation and neighboring communication. The first fractional-order estimator is formulated by replacing the discontinuous term in the existing finite-time estimator by a fractional-order term, which remains smooth when the consensus error approaches zero. Theoretical results show that the estimation error can be stabilized into a bounded region adjustable by tuning the parameters. Then, another novel estimator with double integral architecture is designed to further eliminate the bounded estimation error in the first-order estimator i.e. can achieve exact tracking of the GCT in finite-time. Its continuity of estimation arises from the integration of a discontinuous unit-vector term and three more internal states are introduced to realize the double integral architecture. Finally, simulation and comparison results validate the correctness and smoothness of the proposed estimators.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107394"},"PeriodicalIF":3.7,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142703145","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

Switched LPV resilient tracking control for rigid-body with defective actuators and sensors 带缺陷执行器和传感器刚体的开关 LPV 弹性跟踪控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-14 DOI: 10.1016/j.jfranklin.2024.107397

Liang Nie , Hui Wang , Yichong Sun

{"title":"Switched LPV resilient tracking control for rigid-body with defective actuators and sensors","authors":"Liang Nie , Hui Wang , Yichong Sun","doi":"10.1016/j.jfranklin.2024.107397","DOIUrl":"10.1016/j.jfranklin.2024.107397","url":null,"abstract":"<div><div>In this paper, a switched linear parameter-varying (LPV) resilient tracking controller is designed for rigid-body under actuator faults, uncertainties in measurement of scheduling parameters and time-delay in detection of system modes. The nonlinear attitude dynamics of rigid-body is constructed as a switched LPV system in which persistent dwell-time switching rule is used to regulate the switches caused by abrupt and intermittent actuator failures. Thereafter, by constructing a class of both parameter-dependent and time-dependent multiple Lyapunov functions (MLFs), a switched LPV resilient tracking controller is developed in order that the global uniform exponential stability and desired <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance of the underlying system are achieved even with uncertain scheduling parameters, mismatched modes and persistent external disturbances. Furthermore, the nonconvex conditions of control synthesis are converted into parameterized linear matrix inequalities that can be readily resolved via gridding technique. Finally, the availability of the provided approach is evaluated with a numerical simulation.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107397"},"PeriodicalIF":3.7,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142703144","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 control of stochastic high-order nonlinearly parameterized systems with SiISS inverse dynamics 具有 SiISS 反动力学的随机高阶非线性参数化系统的自适应控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-14 DOI: 10.1016/j.jfranklin.2024.107393

Liang Liu

引用次数: 0

Fast image reconstruction method using radial harmonic Fourier moments and its application in digital watermarking 利用径向谐波傅里叶矩的快速图像重建方法及其在数字水印中的应用

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-13 DOI: 10.1016/j.jfranklin.2024.107391

Hao Zhang , Zhenyu Li , Yongle Chen , Chenchen Lu , Pengfei Yan

{"title":"Fast image reconstruction method using radial harmonic Fourier moments and its application in digital watermarking","authors":"Hao Zhang , Zhenyu Li , Yongle Chen , Chenchen Lu , Pengfei Yan","doi":"10.1016/j.jfranklin.2024.107391","DOIUrl":"10.1016/j.jfranklin.2024.107391","url":null,"abstract":"<div><div>The Radial Harmonic Fourier Moments(RHFMs) is a kind of continuous orthogonal moments with good performance of image representation and reconstruction. Most of existing methods focused on improving the computation of RHFMs, and ignored the research about the reconstruction. Therefore, a fast reconstruction method based on RHFMs by using inverse fast Fourier transform(IFFT) is proposed in this paper. The time cost of reconstruction is greatly decreased. Then, the fast computation method is extend to the quaternion radial harmonic Fourier moments(QRHFMs) by using quaternion theory, which is suitable for the color image representation. Finally, a color image watermarking scheme based on the QRHFMs is conducted. During the embedding process, considering the association between QRHFMs and quaternion discrete Fourier transform(QDFT), the watermark is embedded in the magnitude of QRHFMs symmetrically. The center area of cover image is ignored in order to improve the quality of watermarked image. Experiments denote that proposed watermarking algorithm has low computation complexity and good robust against geometric attacks and common attacks.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107391"},"PeriodicalIF":3.7,"publicationDate":"2024-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142662796","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