Stochastic Stability Criteria for Neutral Distributed Parameter Systems with Markovian Jump by Yanbo Li, Chao-Yang Chen, Chengqun Li

“…Finally, a numerical example is provided to support the validity of the mathematical results.…”
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Research of Variable Speed Characteristic of Transmission Mechanism of Rod-Gear Type Pulsation CVT by Chen Suifan, Dong Zhifeng

“…Based on the analysis of transmission mechanism of rod-gear type Pulse Continuously Variable Transmission（ P-CVT）,the closed vector equations of equivalent plane six-bar mechanism is built,and the kinematic mathematical model of angular displacement,angular velocity and angular acceleration of connecting rod,rocker and meshing point to input shaft axis of single phase transmission mechanism is constructed by the matrix method. …”
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Finite-Time Stability Analysis: A Tutorial Survey by Honglei Xu

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Texture Enhancement for Medical Images Based on Fractional Differential Masks by Hamid A. Jalab, Rabha W. Ibrahim

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Research on Deviation Analysis and Proportional Correction Method for Face Gear Tooth Turning by Ren Minghui, Wei Bingyang, Deng Xiaozhong, Han Zhengyang

“…Based on the mathematical model of gear turning cutters and face gears, a tooth surface deviation model for gear turning is established using gear shaping as the theoretical tooth surface. …”
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TRAJECTORY PLANNING AND SIMULATION STUDY OF B-AXIS POWER TOOL HOLDER by LI XinWen, LI YuLian

“…Based on the five-axis CNC machine tool,the interpolation equations are established,and the interpolation models of different machining directions are analyzed; using the homogeneous matrix transformation method and the numerical assignment inverse algorithm,combined with the classical DH method in robotics,the mathematical model between the coordinate systems is established,and the pose state of the machine tool holder is realized,and the coordinate values of each axis motion are obtained.And kinematics equations; spatial trajectory planning and kinematics simulation using MATALB and ADAMS. …”
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Design and Kinematics Analysis of the Wearable Lower Limb Exoskeleton by Wang Xiaowei, Chen Xu, Gao Shenglu

“…Secondly, the standard D-H method is used to build the exoskeleton kinematics mathematical model, the forward and inverse kinematics is solved through the homogeneous transformation matrix, and the correctness of the model and the solving equation is verified. …”
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Design of distributed implementation and performance analysis of asymptotic optimality for cooperative two-way relaying networks by LI Chun-guo1, ZHONG Chong-xian2, YANG Lv-xi1, PAN Yue3

“…The realization scheme in the distributed manner was researched for the cooperation transmission of the multi-ple two-way relays,moreover the performance analysis of the asymptotic optimality was also presented.First of all,an upper-bound function was obtained for the true value of the average mean squared error of the whole system by the SNR approximations.Furthermore,a mathematical model was established based on this bound function.Secondly,an optimal solution was obtained for the established problem by using the matrix transform and mathematical derivations.Finally,the realization scheme was obtained in the distributed manner.The proposed scheme avoided the strict requirement that every relay must know the full channel state information（CSI） of the whole networks,while can easily achieve the gain of the relays cooperation by requiring every relay know its local CSI consisted of its forward and backward CSI.There-fore,the proposed scheme not only avoided the central control as required by the central manner and the large amount of the feedback overheads,but also achieved much gain.Theory analysis shows that the proposed scheme is asymptotically optimal.…”
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Feedback Finite-Time Stabilization of Impulsive Linear Systems over Piecewise Quadratic Domains by Jing Huang, Jianxing Li, Linshan Bu, Honglei Xu

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Permeability Properties of Jointed Rock with Periodic Partially Filled Fractures by Fei Ye, Jun-Chao Duan, Wen-Xi Fu, Xing-Yu Yuan

“…To investigate the seepage characteristics of a rock mass with partly filled fractures, a mathematical model is established. In this model, the clear fluid in fractures is governed by the Navier-Stokes equation, and the fluid both in the porous medium and rock matrix are subjected to the Brinkman-Extended Darcy equation. …”
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Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data Control by Hong Xia, Ting-Zhu Huang, Jin-Liang Shao, Jun-Yan Yu

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LMI Based Fuzzy Control of a Wing Doubled Fractional-Order Chaos by Bin Wang, Yuzhu Wang, Hongbo Cao, Delan Zhu

“…Furthermore, based on fractional-order stability theory and T-S fuzzy model, a more practical stability condition for fuzzy control of the proposed fractional-order chaos is given as s set of linear matrix inequality (LMI) and the strict mathematical norms of LMI are presented. …”
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Modeling the Effects of Nonpharmaceutical Interventions on COVID-19 Spread in Kenya by Duncan K. Gathungu, Viona N. Ojiambo, Mark E. M. Kimathi, Samuel M. Mwalili

“…Mathematical modeling of nonpharmaceutical interventions (NPIs) of coronavirus disease (COVID-19) in Kenya is presented. …”
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Higgs alignment from multicritical-point principle in two Higgs doublet models by Hikaru Kawai, Kiyoharu Kawana, Kin-ya Oda, Kei Yagyu

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Multiperiod Telser’s Safety-First Portfolio Selection with Regime Switching by Chuangwei Lin, Huiling Wu

“…By the Lagrange multiplier technique and the embedding method, we study in detail the existence of the optimal strategy and derive the closed-form optimal strategy. Finally, by mathematical and numerical analysis, we analyze the effects of the disaster level, the risk control level, the transition matrix of the Markov chain, the expected excess return, and the variance of the risky return.…”
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A plantwide control proposal for ethylbenzene production by Victor Dias Veloso, Anamaria de Oliveira Cardoso

“… In the present article, a plantwide control structure is proposed for the benzene alkylation process. The mathematical model used in the simulations developed in scilab free software, version 6.1, was based on previous studies. …”
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Sparse group LASSO constraint eigenphone speaker adaptation method for speech recognition by Dan QU, Wen-lin ZHANG

“…Original eigenphone speaker adaptation method performed well when the amount of adaptation data was suffi-cient.However,it suffered from server overfitting when insufficient amount of adaptation data was provided.A sparse group LASSO(SGL) constraint eigenphone speaker adaptation method was proposed.Firstly,the principle of eigenphone speaker adaptation was introduced in case of hidden Markov model-Gaussian mixture model (HMM-GMM) based speech recognition system.Then,a sparse group LASSO was applied to estimation of the eigenphone matrix.The weight of the SGL norm was adjusted to control the complexity of the adaptation model.Finally,an accelerated proximal gradient method was adopted to solve the mathematic optimization.The method was compared with up-to-date norm algorithms.Experiments on an mandarin Chinese continuous speech recognition task show that,the performance of the SGL con-straint eigenphone method can improve remarkably the performance of the system than original eigenphone method,and is also superior to l₁、l₂-norm and elastic net constraint methods.…”
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One of the approaches to the organization of the modern educational process by A. G. Savenko, Yu. A. Skudnyakov

“…The program-algorithmic implementation of the rotational-hybrid model in the form of a universal teaching-testing electronic learning tool is shown. The mathematical basis of the rotational-hybrid model is set theory using graph models, which compare favorably with other mathematical apparatus in visibility and a matrix form of representation that can be easily processed on a computer. …”
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Nonhomogeneous Markov chains for degeneration behaviour of RC members’ durability and its Bayesian updating by Ruiqi Guo, Dengguo Li, Guoxin Chen, Yu Jin, Hui Li, Yuanpeng Zhang

“…From the perspective of simplifying the mathematical model, the paper addresses the issue of information updating in the degradation process. …”
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Observer-Based Aperiodic Time-Triggered Intermittent Control for Exponential Consensus of Multi-Agent Systems by Xueming Xu, Qingzhi Wang, Baozeng Fu, Lijie Wang

“…Thirdly, by resorting to linear matrix inequality (LMI) and singular value decomposition (SVD) techniques, OATICP can be designed to realize the exponential consensus of MASs. …”
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