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2,261 Results Found

  • Article
  • Open Access
33 Citations
4,940 Views
30 Pages

5 December 2018

The use of wind power is rapidly increasing as an important part of power systems, but because of the intermittent and random nature of wind speed, system operators and researchers urgently need to find more reliable methods to forecast wind speed. T...

(This article belongs to the Special Issue Wind Energy, Load and Price Forecasting towards Sustainability 2019)
  • Article
  • Open Access
576 Views
17 Pages

A Hybrid PSO–Fifth-Order Iterative Technique for Nonlinear Systems with Applications in Biological Models

  • Santiago Quinga,
  • Nury Ortiz,
  • Moisés Quinga,
  • Adriana Tapia and
  • Darwin Socasi

3 August 2026

Nonlinear systems of equations arise across engineering, physics, and biological modeling; however, classical Newton-type methods may fail when the initial approximation lies outside the convergence region of the NJN local solver. This work proposes...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
12 Citations
3,603 Views
22 Pages

Hybrid power technology for ships is an effective way to promote the green and low-carbon development of the maritime industry. The development of pattern recognition technology provides new research ideas for the rational allocation and utilization...

(This article belongs to the Special Issue Advancements in Power Management Systems for Hybrid Electric Vessels)
  • Article
  • Open Access
1,153 Views
18 Pages

11 August 2025

This work investigates the macroscopic behavior of skeletal muscles from a system-theoretic perspective. Based on data available in the literature, we propose an initial evaluation model for isometric force generation, i.e., force produced at a const...

  • Article
  • Open Access
29 Citations
4,284 Views
16 Pages

25 March 2019

In order to deal with control constraints and the performance optimization requirements in aircraft engines, a new nonlinear model predictive control method based on an elastic BP neural network with a hybrid grey wolf optimizer is proposed in this p...

  • Article
  • Open Access
19 Citations
3,495 Views
26 Pages

A Hybrid Model for Carbon Price Forecasting Based on Improved Feature Extraction and Non-Linear Integration

  • Yingjie Zhu,
  • Yongfa Chen,
  • Qiuling Hua,
  • Jie Wang and ,
  • Yinghui Guo,
  • Zhijuan Li,
  • Jiageng Ma and
  • Qi Wei
  • + 3 authors+ 0 author

7 May 2024

Accurately predicting the price of carbon is an effective way of ensuring the stability of the carbon trading market and reducing carbon emissions. Aiming at the non-smooth and non-linear characteristics of carbon price, this paper proposes a novel h...

  • Article
  • Open Access
738 Views
50 Pages

Knowledge-Guided Physics-Informed Hybrid Learning Framework for Uncertainty-Aware Digital Twin Modeling of Nonlinear Thermal Power Systems

  • Shymaa Darwish,
  • Mohamed Mohamed El-Habrouk,
  • Ayman Samy Abdel-Khalik and
  • Ragi Ali Rifaat Hamdy

Reliable digital twins of complex nonlinear systems require not only high predictive accuracy but also physical consistency, robustness under degraded operating conditions, and explicit uncertainty handling. Purely data-driven models often suffer fro...

  • Article
  • Open Access
1 Citations
762 Views
22 Pages

5 March 2026

Parallel electric–hydraulic hybrid (PEHH) powertrains offer benefits of lower energy consumption and increased battery lifetime compared to pure electric ones. These merits can be extended with advanced control methods that optimally deploy on-...

(This article belongs to the Section E: Electric Vehicles)
  • Article
  • Open Access
26 Citations
3,633 Views
23 Pages

1 November 2018

Accurate wind speed forecasting is a significant factor in grid load management and system operation. The aim of this study is to propose a framework for more precise short-term wind speed forecasting based on empirical mode decomposition (EMD) and h...

(This article belongs to the Section A: Sustainable Energy)
  • Article
  • Open Access
8 Citations
2,144 Views
39 Pages

This study presents a multi-objective predictive energy management system (EMS) for optimizing hybrid renewable energy systems (HRES) in autonomous marine vessels. The objective is to minimize fuel consumption and emissions while maximizing renewable...

(This article belongs to the Special Issue Advancements in Hybrid Power Systems for Marine Applications)
  • Article
  • Open Access
1 Citations
4,036 Views
19 Pages

Numerical Simulation of Nonlinear Dynamics of Breast Cancer Models Using Continuous Block Implicit Hybrid Methods

  • Dauda Gulibur Yakubu,
  • Abdulhameed Mohammed,
  • Adamu Garba Tahiru,
  • Kadas Saidu Abubakar and
  • Magaji Yunbunga Adamu

In the search for causes and cures of cancer diseases, many mathematical models developed have resulted in systems of nonlinear stiff ordinary differential equations. With these models, many numerical estimates of biological knowledge of the paramete...

(This article belongs to the Special Issue Feature Papers for Numerical and Computational Methods Section)
  • Article
  • Open Access
4 Citations
4,921 Views
21 Pages

A Novel Hybrid Data-Driven Modeling Method for Missiles

  • Yongxiang He,
  • Hongwu Guo and
  • Yang Han

22 December 2019

This paper proposes a novel hybrid data-driven modeling method for missiles. Based on actual flight test data, the missile hybrid model is established by combining neural networks and the mechanism modeling method, considering the uncertainties and n...

(This article belongs to the Special Issue Optimized Machine Learning Algorithms for Modeling Dynamical Systems)
  • Article
  • Open Access
40 Citations
9,788 Views
18 Pages

A Hybrid ARIMA-LSTM Model for Short-Term Vehicle Speed Prediction

  • Wei Wang,
  • Bin Ma,
  • Xing Guo,
  • Yong Chen and
  • Yonghong Xu

29 July 2024

Short vehicle speed prediction is important in predictive energy management strategies, and the accuracy of the prediction is beneficial for energy-saving performance. However, the nonlinear feature of the speed series hinders the improvement of pred...

(This article belongs to the Section E: Electric Vehicles)
  • Article
  • Open Access
64 Citations
8,485 Views
80 Pages

4 July 2018

A conditional Gaussian framework for understanding and predicting complex multiscale nonlinear stochastic systems is developed. Despite the conditional Gaussianity, such systems are nevertheless highly nonlinear and are able to capture the non-Gaussi...

(This article belongs to the Special Issue Information Theory and Stochastics for Multiscale Nonlinear Systems)
  • Article
  • Open Access
1,454 Views
22 Pages

15 May 2025

The complex features of carbon price, such as volatility and nonlinearity, pose a serious challenge to accurately predict it. To this end, this paper proposes a novel forecasting framework for carbon emission trading price based on nonlinear integrat...

(This article belongs to the Special Issue Probability Statistics and Quantitative Finance)
  • Article
  • Open Access
2 Citations
421 Views
35 Pages

14 August 2026

Foreign exchange rate forecasting is difficult, as its time series have complex nonlinear and nonstationary dynamics. To this end, the paper proposes a hybrid forecasting framework based on kernel regression decomposition that combines nonparametric...

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

20 May 2026

Hydraulic oscillator tools (HOTs) are effective solutions for mitigating excessive drag encountered during sliding drilling in horizontal wells. However, their field performance remains unpredictable due to theoretical limitations in modeling nonline...

(This article belongs to the Special Issue Research Progress in Oil and Gas Well Engineering)
  • Article
  • Open Access
787 Views
26 Pages

17 June 2026

This study investigates physics-informed and data-driven hybrid modeling strategies for an automotive-grade electrohydraulic (EH) semi-active damper system. Although deep sequence learning architectures such as Long Short-Term Memory (LSTM) networks...

(This article belongs to the Section Actuators for Surface Vehicles)
  • Article
  • Open Access
319 Views
22 Pages

Hybrid Physics-Guided Neural Network for Vibration Sensor Nonlinearity Correction

  • Alexander P. Lyapin,
  • Faizulddin Ebrahimi,
  • Evgeny D. Agafonov,
  • Viktor S. Ratushnyak and
  • Julia Schnitzer

29 September 2026

Accelerometers built on micro-electromechanical systems (MEMS) play a critical role in structural monitoring and machinery diagnostics; however, their accuracy suffers from intrinsic nonlinearities—dead zones, hysteresis, saturation, and colore...

(This article belongs to the Section Intelligent Sensors)
  • Article
  • Open Access
1 Citations
651 Views
17 Pages

6 December 2025

Most control strategies for magnetic bearings are typically formulated upon the linearized suspension force model, and the nonlinear characteristics are neglected or regarded as the disturbance and variation in parameters of the control system. The c...

  • Article
  • Open Access
1 Citations
1,921 Views
23 Pages

A Multi-Stage Decomposition and Hybrid Statistical Framework for Time Series Forecasting

  • Swera Zeb Abbasi,
  • Mahmoud M. Abdelwahab,
  • Imam Hussain,
  • Moiz Qureshi and ,
  • Moeeba Rind,
  • Paulo Canas Rodrigues,
  • Ijaz Hussain and
  • Mohamed A. Abdelkawy
  • + 3 authors+ 0 author

9 April 2026

Modeling and forecasting nonstationary and nonlinear economic time series remain fundamentally challenging due to structural breaks, volatility clustering, and noise contamination that distort the intrinsic stochastic structure. To address these limi...

(This article belongs to the Special Issue Methods and Applications of Advanced Statistical Analysis, 3rd Edition)
  • Article
  • Open Access
6 Citations
3,458 Views
34 Pages

Demand Management in Hybrid Locomotives Through Aggregated Models of Supercapacitors and Railway Units

  • Antonio Gabaldón,
  • María Carmen Ruiz-Abellón,
  • Francisco Martínez and
  • Antonio Guillamón

24 February 2025

Most European Union governments and numerous railway operators have announced plans to replace most of their diesel units by 2030–2040. However, a significant portion of the rail network remains non-electrified. In some cases, the proposed solu...

(This article belongs to the Special Issue Feature Paper Collection in the Section ‘Energy Science and Technology’)
  • Article
  • Open Access
1 Citations
3,022 Views
30 Pages

15 January 2020

Target location is the basic application of a multistatic sonar system. Determining the position/velocity vector of a target from the related sonar observations is a nonlinear estimation problem. The presence of possible sensor position uncertainties...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
8 Citations
3,090 Views
13 Pages

To obtain high-quality Pareto optimal solutions and to enhance the searchability of the biogeography-based optimization (BBO) algorithm, we present an improved BBO algorithm based on hybrid migration and a dual-mode mutation strategy (HDBBO). We firs...

(This article belongs to the Topic Advances in Optimization and Nonlinear Analysis Volume II)
  • Article
  • Open Access
350 Views
40 Pages

A Hybrid Multilayer Dynamic Modelling Framework for Path-Dependent Stochastic Systems: Application to EU Digital Public Services

  • Oana-Ramona Lobonț,
  • Andrei Trip,
  • Florina Stanciu,
  • Cristina Criste and ,
  • Iuliana Militaru and
  • Daniel Brîndescu-Olariu
  • + 1 author+ 0 author

17 July 2026

Path-dependent dynamic systems are often analysed through separate metric, stochastic, econometric or nonlinear methods, while their integration within a unified architecture remains limited. This study develops and validates a Hybrid Dynamic Modelli...

(This article belongs to the Special Issue Advanced Research in Mathematical Economics and Financial Modelling, 2nd Edition)
  • Article
  • Open Access
1 Citations
1,062 Views
22 Pages

19 October 2025

This study focuses on quantifying wind–temperature load combination coefficients for long-span hybrid cable-stayed suspension bridges (HCSSBs) to overcome limitations of traditional methods in ignoring load correlation and geometry nonlinearity...

(This article belongs to the Section Civil Engineering)
  • Article
  • Open Access
5 Citations
2,297 Views
21 Pages

11 October 2024

This paper develops a wave-to-wire model of a vibro-impact wave energy converter array for stand-alone offshore applications. Nonlinear model predictive control is proposed for maximising the wave power capture of the array, and implemented by AC/DC...

(This article belongs to the Special Issue Offshore Renewable Energy, Second Edition)
  • Article
  • Open Access
6 Citations
4,200 Views
15 Pages

18 February 2020

The paper presents simulation and experimental verification of the hybrid magnetic bearing (HMB) performance characteristics. It has been demonstrated that the additional errors from the eddy current sensors have a significant impact on the control s...

(This article belongs to the Special Issue Innovative Field Sensors and Actuators: from Modelling to Measurements)
  • Article
  • Open Access
5 Citations
1,966 Views
12 Pages

28 March 2024

This study designs a two-stage algorithm to address the bid generation problem of carriers when adding new vehicle routes in the presence of the existing vehicle routes to provide transportation service. To obtain the best auction combination and bid...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
1 Citations
815 Views
39 Pages

17 June 2026

Existing truck–drone collaborative routing models predominantly assume fixed flight speeds, overlooking the non-linear coupling among speed, payload, and energy consumption, which limits urban delivery efficiency. To bridge this gap, this paper...

(This article belongs to the Section Innovative Urban Mobility)
  • Article
  • Open Access
334 Views
22 Pages

Model Construction and Dynamic Analysis of the Seedling Growth of Paulownia Hybrid Clones Under Field Nursery Conditions

  • Fang Guo,
  • Mengli Zhou,
  • Qifei Cai,
  • Zhen Liu and ,
  • Xiaotong Liu and
  • Jianbo Shen
  • + 1 author+ 0 author

4 September 2026

Seedling growth is an essential stage for the future growth of trees, and Paulownia is treated as a rapidly growing hardwood tree species with wide industrial application. There is a knowledge gap in the modeling and analysis of the seedling growth p...

(This article belongs to the Section Forest Ecology and Management)
  • Article
  • Open Access
356 Views
32 Pages

13 August 2026

Liquid-lubricated spherical spiral-groove hydrodynamic bearings (SSGB) sustain composite loads under high-speed conditions. This study establishes a numerical framework for SSGB lubrication and proposes a physics-guided hybrid surrogate model to acce...

(This article belongs to the Section Mechanical Engineering)
  • Article
  • Open Access
23 Citations
3,401 Views
22 Pages

Optimal Control of an Ultraviolet Water Disinfection System

  • Viorel MINZU,
  • Saïd RIAHI and
  • Eugen RUSU

16 March 2021

The ultraviolet water disinfection process has numerous advantages in comparison with other water treatments. This study deals with this process’s optimal control and presents all its stages, from problem statement to analysis of results. We consider...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
5 Citations
4,533 Views
19 Pages

Numerical Simulation Approach for a Dynamically Operated Sorption-Enhanced Water-Gas Shift Reactor

  • Tabea J. Stadler,
  • Jan-Hendrik Knoop,
  • Simon Decker and
  • Peter Pfeifer

9 June 2022

A dynamically operated sorption-enhanced water–gas shift reactor is modelled to leverage its performance by means of model-based process design. This reactor shall provide CO2-free synthesis gas for e-fuel production from pure CO. The nonlinear model...

(This article belongs to the Special Issue Numerical Simulation of Nonlinear Dynamical Systems)
  • Article
  • Open Access
39 Citations
4,081 Views
24 Pages

19 February 2020

In this article, we study the vibration performance of multiscale hybrid nanocomposite (MHC) annular plates (MHCAP) resting on Winkler–Pasternak substrates exposed to nonlinear temperature gradients. The matrix material is reinforced with carbo...

(This article belongs to the Section Materials Science and Engineering)
  • Article
  • Open Access
275 Views
30 Pages

Smoothly Weighted Hybrid NMPC–LQR Control for Slope-Dependent Uphill Motion of a Two-Wheeled Self-Balancing Wheelchair

  • Yaozhi Gu,
  • Haomin Sun,
  • Jiangdi Xu,
  • Xinying Zhang and ,
  • Hongyan Tang,
  • Qiaoling Meng and
  • Hongliu Yu
  • + 2 authors+ 0 author

10 September 2026

Sustained uphill motion of two-wheeled self-balancing wheelchairs is challenging. Slope-induced gravity changes the equilibrium condition, driving-torque demand, and velocity response. This paper proposes a smoothly weighted hybrid control method. Th...

(This article belongs to the Special Issue Intelligent Perception and Control for Robotics, 2nd Edition)
  • Article
  • Open Access
1 Citations
2,446 Views
23 Pages

1 March 2026

Reservoir management, flood control, and operational planning are the benefits of dam inflow forecasting. Decomposition algorithms can decompose complex inflow data into intrinsic components and reduce noise and fluctuations, while quantum machine le...

  • Article
  • Open Access
37 Citations
6,719 Views
31 Pages

Electric Vehicle Charging Station Location-Routing Problem with Time Windows and Resource Sharing

  • Yong Wang,
  • Jingxin Zhou,
  • Yaoyao Sun,
  • Xiuwen Wang and ,
  • Jiayi Zhe and
  • Haizhong Wang
  • + 1 author+ 0 author

17 September 2022

Electric vehicles (EVs) are widely applied in logistics companies’ urban logistics distribution, as fuel prices increase and environmental awareness grows. This study introduces an EV charging station (CS) location-routing problem with time win...

(This article belongs to the Section Sustainable Transportation)
  • Article
  • Open Access
22 Citations
4,118 Views
42 Pages

Multi-Objective and Multi-Variable Optimization Models of Hybrid Renewable Energy Solutions for Water–Energy Nexus

  • João S. T. Coelho,
  • Maaike van de Loo,
  • Juan Antonio Rodríguez Díaz,
  • Oscar E. Coronado-Hernández and ,
  • Modesto Perez-Sanchez and
  • Helena M. Ramos
  • + 1 author+ 0 author

23 August 2024

A new methodology, called HY4RES models, includes hybrid energy solutions (HESs) based on the availability of renewable sources, for 24 h of water allocation, using WaterGEMS 10.0 and PVGIS 5.2 as auxiliary calculations. The optimization design was a...

(This article belongs to the Special Issue Water and Energy Synergies)
  • Article
  • Open Access
142 Views
25 Pages

23 October 2026

Hybrid-excited permanent-magnet-assisted synchronous reluctance machines require coupled control of stator and field currents. This study compares three established model-following current-control placements, m, p, and mp, using a common nonlinear pl...

  • Article
  • Open Access
352 Views
31 Pages

11 August 2026

Reliable electric load forecasting is an important engineering problem for power-system planning, grid stability, and mission-critical energy management. This paper presents a symmetry-aware simulation and modeling framework for medium-range electric...

(This article belongs to the Special Issue Simulation and Modelling in Natural Sciences, Biomedicine and Engineering III)
  • Article
  • Open Access
3 Citations
2,348 Views
21 Pages

Optimizing EV Powertrain Performance and Sustainability through Constraint Prioritization in Nonlinear Model Predictive Control of Semi-Active Bidirectional DC-DC Converter with HESS

  • P. S. Praveena Krishna,
  • Jayalakshmi N. Sabhahit,
  • Vidya S. Rao,
  • Amit Saraswat and ,
  • Hannah Chaplin Laugaland and
  • Pramod Bhat Nempu
  • + 1 author+ 0 author

18 September 2024

The global transportation sector is rapidly shifting towards electrification, aiming to create more sustainable environments. As a result, there is a significant focus on optimizing performance and increasing the lifespan of batteries in electric veh...

  • Article
  • Open Access
11 Citations
3,419 Views
21 Pages

Initialisation of Optimisation Solvers for Nonlinear Model Predictive Control: Classical vs. Hybrid Methods

  • Maciej Ławryńczuk,
  • Piotr M. Marusak,
  • Patryk Chaber and
  • Dawid Seredyński

28 March 2022

In nonlinear Model Predictive Control (MPC) algorithms, the number of cost-function evaluations and the resulting calculation time depend on the initial solution to the nonlinear optimisation task. Since calculations must be performed fast on-line, t...

(This article belongs to the Special Issue Model Predictive Control System Design and Implementation)
  • Article
  • Open Access
12 Citations
3,946 Views
20 Pages

24 July 2019

The staged fracturing horizontal well has proven to be an attractive alternative for improving the development effect of a low permeability waterflood reservoir. Due to the coexistence of matrix, fracture, and horizontal wellbore, it remains a great...

(This article belongs to the Special Issue Improved Reservoir Models and Production Forecasting Techniques for Multi-Stage Fractured Hydrocarbon Wells)
  • Article
  • Open Access
14 Citations
3,866 Views
20 Pages

BAG: A Linear-Nonlinear Hybrid Time Series Prediction Model for Soil Moisture

  • Guoying Wang,
  • Lili Zhuang,
  • Lufeng Mo,
  • Xiaomei Yi and ,
  • Peng Wu and
  • Xiaoping Wu
  • + 1 author+ 0 author

Soil moisture time series data are usually nonlinear in nature and are influenced by multiple environmental factors. The traditional autoregressive integrated moving average (ARIMA) method has high prediction accuracy but is only suitable for linear...

(This article belongs to the Special Issue Applications of Data Analysis in Agriculture)
  • Article
  • Open Access
13 Citations
4,090 Views
13 Pages

27 April 2020

In this paper, we study the outage and throughput performance for the simultaneous wireless information and power transfer (SWIPT) cooperative decode-and-forward (DF) communication systems. The hybrid receiver that uses both time switching (TS) and p...

(This article belongs to the Section Internet of Things)
  • Article
  • Open Access
10 Citations
2,667 Views
18 Pages

20 September 2023

Reducing energy consumption and carbon emissions from ships is a major concern. The development of hybrid technologies offers a new direction for the rational distribution of energy. Therefore, this paper establishes a torque model for internal combu...

(This article belongs to the Section Ocean Engineering)
  • Article
  • Open Access
13 Citations
3,674 Views
18 Pages

Hybrid CNN-BiGRU-AM Model with Anomaly Detection for Nonlinear Stock Price Prediction

  • Jiacheng Luo,
  • Yun Cao,
  • Kai Xie,
  • Chang Wen and ,
  • Yunzhe Ruan,
  • Jinpeng Ji,
  • Jianbiao He and
  • Wei Zhang
  • + 3 authors+ 0 author

To address challenges in stock price prediction including data nonlinearity and anomalies, we propose a hybrid CNN-BiGRU-AM framework integrated with deep learning-based anomaly detection. First, an anomaly detection module identifies irregularities...

(This article belongs to the Special Issue Artificial Intelligence and Pattern Recognition for Intelligent Systems)
  • Article
  • Open Access
6 Citations
1,932 Views
12 Pages

10 November 2023

In the present paper, a novel approach for image denoising based on the numerical solution to the nonlinear diffusion equation is proposed. The Perona–Malik-type equation is solved by employing a hybrid lattice Boltzmann model with five discret...

(This article belongs to the Special Issue Mathematical Modeling, Optimization and Machine Learning, 2nd Edition)
  • Article
  • Open Access
6 Citations
1,792 Views
15 Pages

17 June 2023

This paper re-analyzes the nonlinear Susceptible–Infected–Recovered (SIR) model using a hybrid approach based on the Laplace–Padé technique. The proposed approach is successfully applied to extract several analytic approximat...

(This article belongs to the Special Issue Computational Mathematics and Mathematical Modelling)

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