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1,873 Results Found

  • Article
  • Open Access
6 Citations
1,907 Views
24 Pages

Modal Parameter Recursive Estimation of Concrete Arch Dams under Seismic Loading Using an Adaptive Recursive Subspace Method

  • Xinyi Zhu,
  • Jianchun Qiu,
  • Yanxin Xu,
  • Xingqiao Chen and ,
  • Pengcheng Xu,
  • Xin Wu,
  • Shaolong Guo,
  • Jicheng Zhao and
  • Jiale Lin
  • + 4 authors+ 0 author

14 June 2024

Modal parameter estimation is crucial in vibration-based damage detection and deserves increased attention and investigation. Concrete arch dams are prone to damage during severe seismic events, leading to alterations in their structural dynamic char...

(This article belongs to the Section Fault Diagnosis & Sensors)
  • Article
  • Open Access
5 Citations
1,799 Views
24 Pages

Estimation of Hydrodynamic Coefficients for the Underwater Robot P-SUROII via Constraint Recursive Least Squares Method

  • Hyungjoo Kang,
  • Ji-Hong Li,
  • Min-Gyu Kim,
  • Hansol Jin and ,
  • Mun-Jik Lee,
  • Gun Rae Cho and
  • Sangrok Jin
  • + 2 authors+ 0 author

This study proposes a system identification (SI) technique based on the constrained recursive least squares (CRLS) method to model the dynamics of the P-SUROII. By simplifying the dynamic model in consideration of the inherent characteristics of unde...

(This article belongs to the Section Ocean Engineering)
  • Article
  • Open Access
4 Citations
1,876 Views
13 Pages

A Study on the Surface Vibration Effect of CO2 Phase Transition Cracking Based on the Time-Domain Recursive Analysis Method

  • Erdi Abi,
  • Lu Liu,
  • Jie Zhang,
  • Qifu Zeng and ,
  • Fayou Wu and
  • Haotian Li
  • + 1 author+ 0 author

14 July 2023

Supercritical CO2 phase change fracturing technology has been widely used in rock engineering. However, the surface vibration characteristics induced by phase change rock breaking have not been sufficiently studied. In this paper, a model for calcula...

(This article belongs to the Special Issue Symmetry, Asymmetry and Nonlinearity in Geomechanics)
  • Article
  • Open Access
4 Citations
3,787 Views
15 Pages

Recursive Method for Distribution System Reliability Evaluation

  • Huaizhi Wang,
  • Xian Zhang,
  • Qing Li,
  • Guibin Wang and ,
  • Hui Jiang and
  • Jianchun Peng
  • + 1 author+ 0 author

9 October 2018

This paper proposes a novel hybrid recursive method for distribution system reliability evaluation to deal with the computational limit and low-efficiency problem which exist in previously developed techniques as the system becomes larger. This metho...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
3 Citations
2,478 Views
21 Pages

11 June 2023

In bridge health monitoring, in order to closely monitor the structural state changes of the bridge under heavy traffic load and other harsh environments, the monitoring system is required to give the change process of structural modal parameters. Du...

(This article belongs to the Special Issue Applied Mechanics, Engineering and Modeling - Volume II)
  • Article
  • Open Access
1 Citations
18 Views

This paper introduces a method of lane detection based on recursive binary fitting method of the lane detection: First use canny edge detection algorithm to detect the edges on the basis of gray images, and then scan the edge image from the left to th...

  • Article
  • Open Access
11 Citations
2,929 Views
18 Pages

3 September 2022

This paper deals with a method of quantifying the harmonic contribution of each harmonic source to system voltage distortion. Assessing the harmonic contribution of individual harmonic sources is essential for mitigating and managing system harmonic...

(This article belongs to the Special Issue Power Quality in Smart Grids: Advanced Technology for System Regulation and Analysis)
  • Article
  • Open Access
4 Citations
2,362 Views
21 Pages

On the Regularization of Recursive Least-Squares Adaptive Algorithms Using Line Search Methods

  • Cristian-Lucian Stanciu,
  • Cristian Anghel,
  • Ionuț-Dorinel Fîciu,
  • Camelia Elisei-Iliescu and ,
  • Mihnea-Radu Udrea and
  • Lucian Stanciu
  • + 1 author+ 0 author

Stereophonic acoustic echo cancellation (SAEC) requires the identification of four unknown impulse responses corresponding to four loudspeaker-to-microphone pairs. Recent developments in the field of adaptive filters for SAEC setups have allowed for...

(This article belongs to the Section Circuit and Signal Processing)
  • Article
  • Open Access
2 Citations
1,169 Views
17 Pages

A Recursive Truncated Taylor Expansion Downward Continuation Method for Geomagnetic Field

  • Ke Wan,
  • Haibin Li,
  • Xu Liu,
  • Zhongyan Liu and ,
  • Yujing Xu,
  • Yujie Xiang,
  • Zengquan Ding,
  • Weiji Dai,
  • Xinrong He and
  • Qi Zhang
  • + 5 authors+ 0 author

13 August 2025

In aeromagnetic detection and geomagnetic navigation, the reference geomagnetic maps usually need to be continued to different altitudes. Traditionally, the geomagnetic field upward continuation is stable. Nevertheless, the downward continuation is i...

(This article belongs to the Section Applied Physics General)
  • Article
  • Open Access
6 Citations
3,011 Views
28 Pages

16 January 2025

Nested, or cascade speed and torque control has been widely used for DC motors over recent decades. Simultaneously, fractional-order control schemes have emerged, offering additional degrees of control. However, adopting fractional-order controllers,...

(This article belongs to the Section Electrical Machines and Drives)
  • Article
  • Open Access
1 Citations
3,472 Views
15 Pages

Feature Point Matching Method for Aerial Image Based on Recursive Diffusion Algorithm

  • Jiayan Shen,
  • Xiucheng Guo,
  • Wenzong Zhou,
  • Yiming Zhang and
  • Juchen Li

2 March 2021

Aerial images are large-scale and susceptible to light. Traditional image feature point matching algorithms cannot achieve satisfactory matching accuracy for aerial images. This paper proposes a recursive diffusion algorithm, which is scale-invariant...

  • Article
  • Open Access
916 Views
16 Pages

This study presents a robust estimation approach for linear discrete-time systems subject to parametric uncertainties. To address model mismatch, the proposed method enhances the MHE framework, thereby improving estimation accuracy. Based on this fra...

(This article belongs to the Section Control Theory and Methods)
  • Feature Paper
  • Article
  • Open Access
5 Citations
2,636 Views
14 Pages

An Adaptive Method for Reducing Vibrations of Circular Plates with Recursive Identification

  • Lucyna Leniowska,
  • Marcin Grochowina,
  • Mariusz Sierżęga and
  • Bogumił Hołota

6 March 2022

The article presents an adaptive control procedure based on the online recursive identification of the best estimated model of plate bending vibration for vibration cancelation. The test object was a thin, circular aluminum plate, clamped at the edge...

(This article belongs to the Special Issue Sensors, Actuators and Methods in Active Noise and Vibration Control)
  • Article
  • Open Access
48 Citations
5,102 Views
16 Pages

28 February 2019

In view of the existing verification methods of electric meters, there are problems such as high maintenance cost, poor accuracy, and difficulty in full coverage, etc. Starting from the perspective of analyzing the large-scale measured data collected...

(This article belongs to the Special Issue Intelligent Control in Energy Systems)
  • Article
  • Open Access
Appl. Sci.2026, 16(22), 11281;https://doi.org/10.3390/app162211281 
(registering DOI)

13 November 2026

Contour maps of hydraulic head are fundamental to hydrogeological studies, yet most plotting approaches suffer from limited accuracy in heterogeneous aquifers and sparse observation data. In this study, we propose a recursive local polynomial interpo...

(This article belongs to the Special Issue Hydrogeology and Regional Groundwater Flow)
  • Article
  • Open Access
14 Citations
3,131 Views
16 Pages

Multi-Scale Recursive Semi-Supervised Deep Learning Fault Diagnosis Method with Attention Gate

  • Shanjie Tang,
  • Chaoge Wang,
  • Funa Zhou,
  • Xiong Hu and
  • Tianzhen Wang

23 January 2023

The efficiency of deep learning-based fault diagnosis methods for bearings is affected by the sample size of the labeled data, which might be insufficient in the engineering field. Self-training is a commonly used semi-supervised method, which is usu...

(This article belongs to the Special Issue 10th Anniversary of Machines—Feature Papers in Fault Diagnosis and Prognosis)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,517 Views
22 Pages

19 November 2024

A new numerical method for solving Volterra non-linear convolution integral equations (NLCVIEs) of the second kind is presented in this work. This new approach, named IIRFM-A, is based on the combined use of the Laplace transformation, a first-order...

(This article belongs to the Special Issue Recent Advances in Theoretical and Numerical Analysis for Fractional and Integral Differential Equations)
  • Article
  • Open Access
7 Citations
2,628 Views
19 Pages

12 July 2023

The subject of oil price forecasting has obtained an incredible amount of interest from academics and policymakers in recent years due to the widespread impact that it has on various economic fields and markets. Thus, a novel method based on decompos...

(This article belongs to the Special Issue Complex Systems Approach to Social Dynamics)
  • Article
  • Open Access
2,543 Views
42 Pages

19 October 2024

This article explores the application of procedural design methods in urban morphology, drawing inspiration from the innovative work of the Architectural Workshop of Miskolc in Hungary during the late 20th century. This study presents a generative ap...

(This article belongs to the Section Architectural Heritage)
  • Article
  • Open Access
1,975 Views
15 Pages

An Improved On-Line Recursive Subspace Identification Method Based on Principal Component Analysis and Sliding Window for Polymerization

  • Jiayu Qian,
  • Jubin Zhang,
  • Ting Lei,
  • Silin Li and ,
  • Chen Sun,
  • Guanghua He and
  • Bin Wen
  • + 2 authors+ 0 author

13 March 2024

Polymerization products are indispensable for our daily life, and the relevant modeling process plays a vital role in improving product quality. However, the model identification of the related process is a difficult point in industry due multivariat...

(This article belongs to the Section Chemical Processes and Systems)
  • Article
  • Open Access
9 Citations
2,650 Views
15 Pages

26 May 2023

In previous deep learning-based fault diagnosis methods for rotating machinery, the method of directly feeding one-dimensional data into convolutional neural networks can lead to the loss of important fault features. To address the problem, a novel r...

(This article belongs to the Topic Condition Monitoring and Diagnostic Methods for Power Equipment in New Energy Power Systems)
  • Article
  • Open Access
4 Citations
2,165 Views
18 Pages

A Multiscale Recursive Attention Gate Federation Method for Multiple Working Conditions Fault Diagnosis

  • Zhiqiang Zhang,
  • Funa Zhou,
  • Chaoge Wang,
  • Chenglin Wen and ,
  • Xiong Hu and
  • Tianzhen Wang
  • + 1 author+ 0 author

4 August 2023

Federated learning (FL) is an effective method when a single client cannot provide enough samples for multiple condition fault diagnosis of bearings since it can combine the information provided by multiple clients. However, some of the client’...

(This article belongs to the Special Issue New Trends in Fault Diagnosis and Prognosis for Engineering Applications: From Signal Processing to Machine Learning and Deep Learning)
  • Article
  • Open Access
4 Citations
1,365 Views
22 Pages

3 July 2025

For the longitudinal tire force estimation problem of four-wheel independent drive electric vehicles (4WIDEVs), traditional model-based observers have limitations such as high modeling complexity and strong parameter sensitivity, while pure data-driv...

(This article belongs to the Section Algorithms for Multidisciplinary Applications)
  • Article
  • Open Access
13 Citations
6,425 Views
18 Pages

A Fisheye Image Matching Method Boosted by Recursive Search Space for Close Range Photogrammetry

  • Mariana Batista Campos,
  • Antonio Maria Garcia Tommaselli,
  • Letícia Ferrari Castanheiro,
  • Raquel Alves Oliveira and
  • Eija Honkavaara

13 June 2019

Close range photogrammetry (CRP) with large field-of-view images has become widespread in recent years, especially in terrestrial mobile mapping systems (TMMS). However, feature-based matching (FBM) with omnidirectional images (e.g., fisheye) is chal...

(This article belongs to the Special Issue Structure from Motion (SfM) Photogrammetry for Geomatics and Geoscience Applications)
  • Article
  • Open Access
4 Citations
2,655 Views
18 Pages

24 August 2023

Space-based infrared target detection can provide full-time and full-weather observation of targets, thus it is of significance in space security. However, the presence of stars in the background can severely affect the accuracy and real-time perform...

(This article belongs to the Special Issue Remote Sensing of Target Object Detection and Identification II)
  • Article
  • Open Access
28 Citations
2,413 Views
16 Pages

Decentralized Stochastic Recursive Gradient Method for Fully Decentralized OPF in Multi-Area Power Systems

  • Umair Hussan,
  • Huaizhi Wang,
  • Muhammad Ahsan Ayub,
  • Hamna Rasheed and ,
  • Muhammad Asghar Majeed,
  • Jianchun Peng and
  • Hui Jiang
  • + 2 authors+ 0 author

30 September 2024

This paper addresses the critical challenge of optimizing power flow in multi-area power systems while maintaining information privacy and decentralized control. The main objective is to develop a novel decentralized stochastic recursive gradient (DS...

(This article belongs to the Special Issue Artificial Intelligence and Game Theory)
  • Article
  • Open Access
1,382 Views
23 Pages

21 November 2025

Acoustic-based diagnosis (ABD) technology demonstrates promising application prospects for rotating machinery such as gears. However, non-stationary background noise may obscure or distort the target acoustic signal, potentially resulting in misdiagn...

  • Article
  • Open Access
104 Citations
7,237 Views
15 Pages

A Novel Method for Lithium-Ion Battery Online Parameter Identification Based on Variable Forgetting Factor Recursive Least Squares

  • Zizhou Lao,
  • Bizhong Xia,
  • Wei Wang,
  • Wei Sun and ,
  • Yongzhi Lai and
  • Mingwang Wang
  • + 1 author+ 0 author

26 May 2018

For model-based state of charge (SOC) estimation methods, the battery model parameters change with temperature, SOC, and so forth, causing the estimation error to increase. Constantly updating model parameters during battery operation, also known as...

  • Article
  • Open Access
1 Citations
1,202 Views
28 Pages

4 October 2025

In this paper, we propose a formulation of the permutation flow and job shop scheduling problems using special recursive functions and show its equivalence to the existing classical formulation. Equivalence is understood in the sense that both ways o...

(This article belongs to the Special Issue Innovations in Optimization and Operations Research)
  • Article
  • Open Access
15 Citations
3,923 Views
18 Pages

Harmonic Content-Based Protection Method for Microgrids via 1-Dimensional Recursive Median Filtering Algorithm

  • Faisal Mumtaz,
  • Kashif Imran,
  • Abdullah Abusorrah and
  • Syed Basit Ali Bukhari

22 December 2022

Microgrids (MGs) offers grid-connected (GC) and islanded (ID) operational modes. However, these dynamic modes of operation pose different microgrid protection challenges. This paper presents a new protection method for MGs based on a discrete one-dim...

(This article belongs to the Section Energy Sustainability)
  • Article
  • Open Access
11 Citations
3,285 Views
6 Pages

4 December 2018

In this paper, we first introduce a new second-order non-linear recursive polynomials U h , i ( x ) , and then use these recursive polynomials, the properties of the power series and the combinatorial methods to prove some identities inv...

(This article belongs to the Special Issue Special Polynomials)
  • Article
  • Open Access
17 Citations
6,629 Views
16 Pages

The sideslip angle and the yaw rate are the key state parameters for vehicle handling and stability control. To improve the accuracy of the input parameters and the time-varying characteristics of noise covariance in state estimation, a combined meth...

  • Article
  • Open Access
2 Citations
2,750 Views
20 Pages

The binary-state network, which is fundamental to several modern systems, only operates in two states: operational or inoperable. Network reliability is crucial in its planning, design, and evaluation, with the minimal cut (MC) being a cornerstone fo...

(This article belongs to the Section Networks)
  • Article
  • Open Access
1,515 Views
33 Pages

Fluid–Structure Interaction Study in Unconventional Energy Horizontal Wells Driven by Recursive Algorithm and MPS Method

  • Xikun Gao,
  • Dajun Zhao,
  • Yi Zhang,
  • Yong Chen and ,
  • Zhanzhao Gao,
  • Xiaojiao Zhang and
  • Shengda Wang
  • + 2 authors+ 0 author

16 June 2025

With the unconventional energy sector (e.g., shale gas) increasingly focused on precision drilling and cost-effective extraction, slim-hole horizontal well technology is gaining prominence. However, drill string dynamics in narrow, complex fluid envi...

  • Article
  • Open Access
112 Citations
8,184 Views
11 Pages

9 April 2020

The state of charge (SOC) and state of health (SOH) are two crucial indicators needed for a proper and safe operation of the battery. Coulomb counting is one of the most adopted and straightforward methods to calculate the SOC. Although it can be imp...

(This article belongs to the Special Issue Energy Storage Systems for Electric Vehicles)
  • Article
  • Open Access
476 Views
17 Pages

A Two-Way Convolution of the Mittag-Leffler Function with Sheffer Polynomials

  • Waseem Ahmad Khan,
  • Areefa Khatoon,
  • Khidir Shaib Mohamed,
  • Muntasir Suhail and ,
  • Habeeb Ibrahim and
  • Naglaa Mohammed
  • + 1 author+ 0 author

28 August 2026

This article presents a two-way convolution of the Mittag-Leffler function with Sheffer polynomials via the umbral algebraic method, thereby introducing the Mittag-Leffler–Sheffer polynomials (MLSPs) and the Sheffer–Mittag-Leffler functio...

(This article belongs to the Special Issue Recent Advances in Special Functions and Polynomials)
  • Article
  • Open Access
4 Citations
4,790 Views
17 Pages

Interval Analysis of the Eigenvalues of Closed-Loop Control Systems with Uncertain Parameters

  • Jing-Zhou Zhao,
  • Guo-Feng Yao,
  • Rui-Yao Liu,
  • Yuan-Cheng Zhu and ,
  • Kui-Yang Gao and
  • Min Wang
  • + 1 author+ 0 author

21 April 2020

Uncertainty caused by a parameter measurement error or a model error causes difficulties for the implementation of the control method. Experts can divide the uncertain system into a definite part and an uncertain part and solve each part using variou...

(This article belongs to the Special Issue Actuators for System Identification, Vibration Analysis, and Control)
  • Article
  • Open Access
1,774 Views
14 Pages

31 May 2024

Considering the situation of limited resources in practical applications, it is significant to design control algorithms with high resource utilization rates for a class of nonlinear systems subject to mismatched disturbances. In contrast to common r...

(This article belongs to the Special Issue Mathematical Modeling in Nonlinear Control and Robotics)
  • Article
  • Open Access
4 Citations
5,729 Views
18 Pages

Application of the Recursive Finite Element Approach on 2D Periodic Structures under Harmonic Vibrations

  • Reem Yassine,
  • Faten Salman,
  • Ali Al Shaer,
  • Mohammad Hammoud and
  • Denis Duhamel

The frequency response function is a quantitative measure used in structural analysis and engineering design; hence, it is targeted for accuracy. For a large structure, a high number of substructures, also called cells, must be considered, which will...

(This article belongs to the Section Computational Engineering)
  • Article
  • Open Access
8 Citations
4,660 Views
7 Pages

22 January 2019

In this paper, a new non-linear recursive sequence is firstly introduced. Then, using this sequence, a computational problem involving the convolution of the Legendre polynomial is studied using the basic and combinatorial methods. Finally, we give a...

(This article belongs to the Special Issue Special Polynomials)
  • Article
  • Open Access
10 Citations
2,890 Views
15 Pages

Dynamic Load Identification for Structures with Unknown Parameters

  • Hongzhi Tang,
  • Jinhui Jiang,
  • M. Shadi Mohamed,
  • Fang Zhang and
  • Xu Wang

18 November 2022

The inverse problem and the direct problem are symmetrical to each other. As a mathematical method for inverse problems, dynamic load identification is applicable to the situation when the load acting on the structure is difficult to measure directly...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
346 Views
24 Pages

1 July 2026

Microwave imaging of objects embedded in multilayer cylindrical structures is of practical importance in applications where inaccessible targets are surrounded by a known inhomogeneous host. In such problems, incorporating the known multilayer struct...

(This article belongs to the Section Sensing and Imaging)
  • Article
  • Open Access
2 Citations
2,464 Views
22 Pages

27 April 2022

Due to the fundamental solutions are employed as basis functions, the localized method of fundamental solution can obtain more accurate numerical results than other localized methods in the homogeneous problems. Since the inverse Cauchy problem is il...

(This article belongs to the Special Issue Recent Advances in Numerical Methods for Scientific and Engineering Applications)
  • Article
  • Open Access
9 Citations
4,230 Views
9 Pages

8 January 2019

The main purpose of this paper is using the elementary and combinatorial methods to study the properties of the Catalan numbers, and give two new identities for them. In order to do this, we first introduce two new recursive sequences, then with the...

(This article belongs to the Special Issue Current Trends in Symmetric Polynomials with their Applications)
  • Article
  • Open Access
4 Citations
3,213 Views
18 Pages

Inverse Analysis for the Convergence-Confinement Method in Tunneling

  • Yu-Lin Lee,
  • Wei-Cheng Kao,
  • Chih-Sheng Chen,
  • Chi-Huang Ma and ,
  • Pei-Wen Hsieh and
  • Chi-Min Lee
  • + 1 author+ 0 author

8 April 2022

For the safety of tunnel excavation, the observation of tunnel convergence not only provides a technique for assessing the stability of the surrounding ground, but also provides an estimate of the constitutive parameters of geological materials. This...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
18 Citations
6,145 Views
8 Pages

18 December 2018

The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibonacci numbers and obtain some identities. To achieve this purpose, we first introduce a new second-order nonlinear recursive sequence. Then, we obtain...

(This article belongs to the Special Issue Special Polynomials)
  • Article
  • Open Access
6 Citations
2,708 Views
12 Pages

Verification and Comparison of Direct Calculation Method for the Analysis of Support–Ground Interaction of a Circular Tunnel Excavation

  • Yu-Lin Lee,
  • Wen-Kuei Hsu,
  • Po-Yu Chou,
  • Pei-Wen Hsieh and ,
  • Chi-Huang Ma and
  • Wei-Cheng Kao
  • + 1 author+ 0 author

12 February 2022

A direct algorithmic process can deal with the solution of the support–ground interaction in a circular tunnel excavation through the convergence-confinement method (CCM) with the concept of increment. This process is the so-called direct calcu...

(This article belongs to the Special Issue Advanced Underground Space Technology)
  • Article
  • Open Access
3 Citations
4,701 Views
17 Pages

13 June 2021

A countershaft brake is used as a transmission brake (TB) to realize synchronous shifting by reducing the automated mechanical transmission (AMT) input shaft’s speed rapidly. This process is performed to reduce shifting time and improve shifting qual...

(This article belongs to the Special Issue Design, Concepts and Applications of Electric Machines)
  • Article
  • Open Access
1 Citations
1,786 Views
17 Pages

Recursive Estimation of the Expectile-Based Shortfall in Functional Ergodic Time Series

  • Fatimah A. Almulhim,
  • Mohammed B. Alamari,
  • Mustapha Rachdi and
  • Ali Laksaci

16 December 2024

This paper considers the Recursive Kernel Estimator (RKE) of the expectile-based conditional shortfall. The estimator is constructed under a functional structure based on the ergodicity assumption. More preciously, we assume that the input-variable i...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
20 Citations
3,837 Views
8 Pages

7 November 2018

In this paper, firstly, we introduced a second order non-linear recursive sequence, then we use this sequence and the combinatorial methods to perform a deep study on the computational problem concerning one kind sums, which includes the Chebyshev po...

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