Insights through Modal Minimal Models for Analysis of Linear and Nonlinear Dynamic Problems by Andreas Hohl, Vincent Kulke, Georg-Peter Ostermeyer

“…Dynamic analysis of three-dimensional structures is common practice in industry to optimize products and in research to gain insights on the influence of parameters. …”
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Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays by Salman Baroumand, Bita Labibi

“…In this paper by introducing a new Lyapunov functional, the stability condition is extended to structured uncertain neutral systems. so new ( Descriptor ) model transformation and a corresponding Lyapunov functional are introduced for stability analysis of systems with discrete and distributed multiple delay.Sufficient conditions are given in terms of linear matrix inequalities ( LMI ) and refer to neutral systems with discrete and distributed delays. …”
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An efficient quantum algorithm for ab initio approximations of non-linear response functions by Tyler Kharazi, Torin F. Stetina, Liwen Ko, Guang Hao Low, K. Birgitta Whaley

“…Abstract We develop and analyze a fault-tolerant quantum algorithm for non-linear response properties of molecular and condensed phase systems. …”
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Recent Advances in Arc-linear Motors for Direct-drive Applications: A Review by Zhenbao Pan, Jiwen Zhao, Shuhua Fang, Jinhao Cai, Qiangren Xu

“…The arc-linear motor (ALM) is a new type of special motor derived from the linear motor, which has the merits of high torque, compact structure and fast dynamic response. …”
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A New Formula of Impact Stiffness in Linear Viscoelastic Model for Pounding Simulation by Xiuli Xu, Xiang Xu, Weiqing Liu, Ding Zhou

“…The phenomenon of earthquake-induced structural pounding was extensively studied by some researchers using different models for the impact force. …”
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Efficient knowledge graph to text powered by LLGM: linear latent graph model by Xiaokang Zhao, Yao Zheng, Yubo Shan, Jingyuan Li, Kun Zhang, Yuanzhuo Wang

“…LLGM’s core innovations are three-fold: (1) a Multi-head Statistical Attention (MSA) mechanism that achieves linear O(N) complexity by replacing pairwise token interactions with efficient statistical approximations, drastically reducing the primary computational bottleneck; (2) a Graph Latent Self-Attention (GLSA) module that efficiently encodes explicit graph structures using dimension-reduced intermediate representations, preserving relational fidelity with fewer parameters; and (3) a Graph Periodicity Projector (GPP) that optimizes feed-forward networks by decomposing representations into periodic and non-periodic components, adeptly capturing both regular and unique graph patterns. …”
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Reliability and mechanical performance of timber–concrete composite beams in the non-linear domain by Nabil Daanoune, Nassim Kernou, Mamoun Fellah, Gamal A. El-Hiti

“…Different non-linear methods for calculating the reliability and mechanical performance of timber–concrete composite beams connected using threaded steel rods are compared. …”
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Linear random boundary value problems containing weakly correlated forcing functions by Ning-Mao Xia

“…When the correlation length ϵ is small the structure of the solution is pointed out, and the formulas for the density function of the solutions are derived. …”
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Development of a Numerical Model for an Expanding Tube with Linear Explosive Using AUTODYN by Mijin Choi, Jung-Ryul Lee, Cheol-Won Kong

“…Pyrotechnic devices have been employed in satellite launch vehicle missions, generally for the separation of structural subsystems such as stage and satellite separation. …”
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On Introduction to q1,q2-Linear Diophantine Fuzzy Sets and Their Applications by Muhammad Bilal Khan, Adrian Marius Deaconu, Javad Tayyebi, Bandar Bin-Mohsin, Loredana Ciurdariu, Miguel Vivas Cortez, Nurnadiah Zamri

“…The notion of parameter mappings is about creating and managing a structured relationship between parameters across different systems or processes. …”
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The Laplacian Spectrum, Kirchhoff Index, and the Number of Spanning Trees of the Linear Heptagonal Networks by Jia-Bao Liu, Jing Chen, Jing Zhao, Shaohui Wang

“…Let Hn be the linear heptagonal networks with 2n heptagons. We study the structure properties and the eigenvalues of the linear heptagonal networks. …”
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Applications of AG-Groupoids in Decision-Making via Linear Diophantine Fuzzy Sets by Faisal Yousafzai, Muhammad Danish Zia, Mohammed M. Khalaf, Esmail Hassan Abdullatif Al-Sabri, Rashad Ismail

“…We then use the proposed structure in multiattribute decision-making by considering bridge design selection and artificial intelligence-based chatbot selection.…”
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Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure by Xinyu Song, Zhihao Ge, Jingang Wu

“…A two-species predator-prey system with diffusion term and stage structure is discussed, local stability of the system is studied using linearization method, and global stability of the system is investigated by strong upper and lower solutions. …”
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Results of the clinical evaluation of the low-dose protocols of the digital linear tomography of the chest by I. G. Kamyshanskaya, V. M. Cheremisin, A. V. Vodovatov, A. N. Boriskina

“…The second stage of the study was performed as a prospective cohort survey aimed at the evaluation of the structure of X-ray examinations, patient doses and clinical image quality of the digital linear tomograms in antitubercular early treatment center. …”
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Linear Active Disturbance Rejection Control of Three-phase Current Source Rectifier by LI Xuedong, YAN Jingbin, GAO Chongxi, SHEN Yunsen, WEI Jinxin, YUAN Yin, ZHENG Xuemei

“…Aiming at the problems of large output overshoot, poor anti-interference ability and long response time of the traditional current source rectifier controlled by double closed-loop proportional integral controller (PI), the linear auto disturbance rejection control strategy is adopted and the linear extended state observer (LESO) is used to observe and compensate the disturbance of the current source rectifier.By analyzing the mathematical model of current source rectifier and the structural principle of linear active disturbance rejection controller (LADRC), the LADRC current outer loop controller and current inner loop d-axis and q-axis controller of current source pulse width modulation (PWM) rectifier are designed.The control effects of PI control and LADRC control are compared and verified through the simulation platform.Finally, the simulation results show that compared with PI control, linear ADRC has stronger anti-interference ability, shorter response time and no overshoot.…”
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Comparison of Geological Structures and Satellite-based Tectonic Lineaments in Gülağaç (Aksaray) and its Surroundings by Ramazan Demircioğlu

“…As a result of these deformations, faults, fractures, folds and linearities were formed. . These structures were compared with satellite-based tectonic lineaments, and it was observed that the general orientations of the lines determined in the field and the satellite-based lineaments were largely compatible. …”
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Design and Simulation of Magnetic Shielding Structure Based on Closed-Loop TMR Current Sensor by Qiuyang Li, Suqin Xiong, Shuo Wang, Xianguang Dong, Haifeng Zhang

“…With the rapid development of current sensor technology, tunnel magnetoresistance (TMR) current sensors have been widely adopted in industrial detection due to their high sensitivity, excellent linearity, and broad measurement range. This study focuses on closed-loop TMR current sensors, utilizing COMSOL Multiphysics 6.2 software and the finite element method to conduct an in-depth analysis of structural parameters affecting sensor sensitivity. …”
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Dynamic Stability for Seismic-Excited Earth Retaining Structures Following a Nonlinear Criterion by Jingshu Xu, Jiahui Deng, Zemian Wang, Linghao Qi, Yundi Wang

“…Based on the upper bound limit analysis, the multi-log spiral failure mechanism for earth retaining structures under horizontal seismic loads was constructed, which could introduce the nonlinear strength criterion into stability analysis without any linearization technique. …”
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Effects of the Shock Wave Structure on the Tip Clearance Leakage Flow in Transonic Compressor Rotors by Xinlong Ye, Zhenggui Zhou

“…The two rotors have the same meridional flow channel, design point flow rate, pressure ratio, and rotation speed to focus on the influence caused by the effect of the shock wave structure. The numerical results for the flow fields show the following conclusions. …”
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Linear active disturbance rejection control for ball mill coal-pulverizing systems by DONG Jun-yi, SUN Li, LI Dong-hai

“…The proposed control strategy has simple structure, strong disturbance rejection ability, and is independent of accurate mathematical models. …”
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