Applications of Fuzzy Sliding Mode Control for a Gyroscope System by Shih-Chung Chen, Chao-Lin Kuo, Chia-Hung Lin, Chih-Hung Hsu, Chien-Kuo Tsui

“…The state response analysis of the gyroscope system revealed highly nonlinear and chaotic subharmonic motions of 2T during state formation. …”
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Visco-Elastoplastic Constitutive Fatigue Model for Rocks by Jianhao Liu, Shaoyun Pu, Junying Rao

“…Meanwhile, a fatigue yield criterion for rocks under cyclic loading was proposed, and a three-dimensional nonlinear visco-elastoplastic fatigue constitutive model (NVPFM) for rocks was established by using the flow criterion related to the proposed fatigue yield criterion. …”
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Global Well-Posedness for a Class of Kirchhoff-Type Wave System by Xiaoli Jiang, Xiaofeng Wang

“…Combining the potential well method with an improved convex method, we establish a criterion for the well-posedness of the system with nonlinear source and dissipative and viscoelastic terms. …”
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Numerical Simulation and Shear Capacity Study of a New Double-Steel-Plate Shear Wall by Xiaomeng Zhang, Qingying Ren, Jiaqi Wang, Ziao Liu, Xiao Yang

“…The comparison with the test results verifies the correctness of the finite element analysis. Through nonlinear finite element parameterization analysis, the composition of shear capacity of each composite wall is obtained. …”
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Chemical Reaction and Radiation Effects on MHD Flow of Oldroyd-B Fluid through Porous Medium Past an Exponentially Stretching Sheet with Heat Sink by Faisal Salah, Abdelmgid O. M. Sidahmed

“…The governing system of nonlinear partial differential equations has transformed into a system of ordinary differential equations using similarity transformations. …”
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Energy efficiency optimization algorithm of heterogeneous networks based on hybrid energy supply and energy cooperation by Yang CAO, Ye ZHONG, Chunling PENG, Xiaofeng PENG

“…To reduce the base station energy consumption and co-channel interference in heterogeneous cellular networks, a joint optimization algorithm combined with energy harvesting and energy cooperation was proposed with the objective of energy efficiency optimization.First, a mixed-integer nonlinear programming problem for joint resource allocation was constructed considering the constraints of user service quality, the constraints of cellular base station power, and the constraints of renewable energy harvesting.Second, considering that the problem was an NP-hard problem which was difficult to solve directly, the complex original problem was decomposed into three subproblems, such as user association, power allocation, and energy cooperation, with the fixed-variable method, which were solved by using the Lagrangian pairwise method, particle swarm optimization algorithm, and matching theory, respectively.Finally, the final solution of the original problem was obtained by combining the above three algorithms through convergent iterative algorithms.The simulation results show that the proposed algorithm has improved convergence and system energy efficiency compared with the comparison algorithm.…”
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Experimental Closed-Loop Control of Breast Cancer in Mice by Levente Kovács, Bence Czakó, Máté Siket, Tamás Ferenci, András Füredi, Balázs Gombos, Gergely Szakács, Dániel András Drexler

“…The controller consists of a nonlinear model predictive controller which uses the state estimation of a moving horizon estimator. …”
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Further Application of H-Differentiability to Generalized Complementarity Problems Based on Generalized Fisher-Burmeister Functions by Wei-Zhe Gu, Mohamed A. Tawhid

“…When specializing GCP(f,g) to the nonlinear complementarity problems, our results not only give new results but also extend/unify various similar results proved for C1, semismooth, and locally Lipschitzian.…”
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Multiobjective Location Routing Problem considering Uncertain Data after Disasters by Keliang Chang, Hong Zhou, Guijing Chen, Huiqin Chen

“…This paper proposes a nonlinear location routing problem with half-time windows and with three objectives. …”
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Target tracking algorithm for wireless sensor networks based on particle swarm optimization and metropolis-hasting sampling particle filter by Peng JIANG, Hua-hua SONG, Guang LIN

“…For the characteristic of the nonlinear relationship between the observation information of sensor nodes and the target dynamic parameters under the real application conditions, a target tracking algorithm for wireless sensor networks based on particle swarm optimization and Metropolis-Hasting sampling particle filter was proposed. …”
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Pricing Resources in LTE Networks through Multiobjective Optimization by Yung-Liang Lai, Jehn-Ruey Jiang

“…The problem is modelled as nonlinear multiobjective optimization with two optimal objectives: (1) maximizing operator profit and (2) maximizing user satisfaction. …”
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Guidance Law and Neural Control for Hypersonic Missile to Track Targets by Wenxing Fu, Binbin Yan, Xiaofei Chang, Jie Yan

“…Because the flight dynamics of a hypersonic vehicle is nonlinear, uncertain, and highly coupled, the controller design is challenging, especially to design its guidance and control law during the attack of a maneuvering target. …”
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Positive Solutions for Second-Order Singular Semipositone Differential Equations Involving Stieltjes Integral Conditions by Jiqiang Jiang, Lishan Liu, Yonghong Wu

“…By means of the fixed point theory in cones, we investigate the existence of positive solutions for the following second-order singular differential equations with a negatively perturbed term: −u′′(t)=λ[f(t,u(t))−q(t)], 0<t<1, αu(0)−βu′(0)=∫01u(s)dξ(s), γu(1)+δu′(1)=∫01u(s)dη(s), where λ>0 is a parameter; f:(0,1)×(0,∞)→[0,∞) is continuous; f(t,x) may be singular at t=0, t=1, and x=0, and the perturbed term q:(0,1)→[0,+∞) is Lebesgue integrable and may have finitely many singularities in (0,1), which implies that the nonlinear term may change sign.…”
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SIMULATION AND ANALYSIS OF COMPOUND ABRASIVE GRINDING PERFORMANCE OF SPIRAL BEVEL GEARS (MT) by LIU Bin, YAN ChangFeng, WEI LiLin, YANG HaoDong, ZHAO XiaoMan

“…The grinding of spiral bevel gears is a nonlinear and dynamic complex process. It is significant to explore the complex grinding mechanism of spiral bevel gears by simulating the grinding process based on finite element method. …”
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Overall Efficiency of Four-Stage Structure with Undesirable Outputs: A New SBM Network DEA Model by Nasim Roudabr, Seyyed Esmaeil Najafi, Zohreh Moghaddas, Farzad Movahedi Sobhani

“…However, in real-world problems, many DMU inputs and outputs have nonlinear values (values are the coefficients of inputs or outputs in modeling and can be the price of desirable outputs or the cost of inputs and undesirable outputs), something which was taken into account in the modeling process in this study. …”
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The Impact of Geopolitical Risk on Systemic Risk Spillover in Commodity Market: An EMD-Based Network Topology Approach by Zhijing Ding, Xu Zhang

“…However, due to the nonlinear fluctuations brought about by extreme events, investors face more difficulties in the choice of risk portfolio. …”
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An Intelligence Optimized Rolling Grey Forecasting Model Fitting to Small Economic Dataset by Li Liu, Qianru Wang, Ming Liu, Lian Li

“…Grey system theory has been widely used to forecast the economic data that are often highly nonlinear, irregular, and nonstationary. The size of these economic datasets is often very small. …”
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Design and Implementation of a New Fast and Efficient MPPT Controller under Different Solar Irradiance Conditions by K. Padmanaban, A. Shunmugalatha, M. S. Kamalesh

“…The power-voltage (P-V) characteristic curve of solar photovoltaic (PV) systems operating in partial shading conditions (PSC) is nonlinear and has multiple local maximum peak power (LMPP) points, rendering many of the maximum power point tracking (MPPT) algorithms ineffective at locating global maximum peak power (GMPP) points. …”
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EQUIVALENT CIRCUIT SIMULATION OF A TWO-DEGREE-OF-FREEDOM ELASTIC COLLISION VIBRATION SYSTEM WITH GAPS by ZHU Xifeng, FU Wenbin, MA Shuo, ZHENG Dong

“…A two-degree-of-freedom collision system with gap and elastic constraint was used as the research object, and the regional distribution and transitions of the periodic motion of the system under low frequency conditions were studied by numerical simulation.It was obtained that with the decrease of excitation frequency, the <italic>p</italic>/1 periodic motion occurs with grazing bifurcation transitions to （<italic>p</italic>+1）/1 periodic motion.When the number of collisions was large enough, the Chattering-impact characteristics were presented.Then a circuit model that was completely equivalent to the collision system was established and simulation experiments were carried out.The results show that the results generated by establishing the equivalent circuit are consistent with those generated by numerical simulations, and the equivalent circuit is more efficient in simulation experiments, which can realize fast modal transitions and parameter adjustments，making it more convenient and providing a research method for the study of nonlinear dynamics.…”
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Design of Large Thinned Arrays Using Different Biogeography-Based Optimization Migration Models by Sotirios K. Goudos, John N. Sahalos

“…The original BBO uses a linear migration model to describe how species migrate from one island to another. Other nonlinear migration models have been proposed in the literature. …”
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