Designing Backstepping Control System for Hypersonic Vehicle Based on Feedback Linearization by Jianli Wei, Huan Chen

“…Therefore, there is a strong cross-coupling effect among its aerodynamic force, thrust, structure, and control. The nonlinearity and uncertainty of the model cause difficulties in control system design. …”
Get full text

H∞ Loop Shaping Control of Input Saturated Systems with Norm-Bounded Parametric Uncertainty by Renan Lima Pereira, Karl Heinz Kienitz

“…Differently from other gain-scheduled approaches in the literature, this one focuses on the problem of H∞ loop shaping control design with input saturation nonlinearity and norm-bounded uncertainty to reduce the effect of the disturbance input on the controlled outputs. …”
Get full text

Experimental Study and Numerical Simulation on Failure Process of Reinforced Concrete Box Culvert by Yafeng Gong, Yulin Ma, Guojin Tan, Haipeng Bi, Yunze Pang, Chen Ma

“…The finite element analysis based on material nonlinearity and contact nonlinearity of round hinged BC and integral BC was carried out. …”
Get full text

An accurate approximate analysis of the large-amplitude asymmetric vibrations of a dielectric elastomer balloon by Akuro Big-Alabo, Chukwuebuka Francis Abah, Tobinson Alaso Briggs

“…The vibration model of the neo-Hookean DEB has a negative index nonlinearity which poses a solution problem for perturbative methods and most non-perturbative methods. …”
Get full text

Experimental and Numerical Studies on Wave Breaking Characteristics over a Fringing Reef under Monochromatic Wave Conditions by Jong-In Lee, Sungwon Shin, Young-Taek Kim

“…The results in this study revealed that one-layer model is not suitable in the highly nonlinear wave condition over a fringing reef bathymetry. …”
Get full text

Multiplicity of Positive Solutions for Semilinear Elliptic Systems by Tsing-San Hsu

“…We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. …”
Get full text

Fuzzy-Swarm Intelligence-Based Short-Term Load Forecasting Model as a Solution to Power Quality Issues Existing in Microgrid System by Demsew Mitiku Teferra, Livingstone M. H. Ngoo, George N. Nyakoe

“…The loads are categorized as holiday loads (national and religious), weekdays, and weekend days. The nonlinearity and uncertain characteristics of electrical load in a microgrid are one of the major sources of power quality problems in a microgrid system, and they can be handled using an accurate load forecast model. …”
Get full text

A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters by Rugao Gao, Keping Zhou, Yun Lin

“…The generalized Polynomial Chaos Expansion Method (gPCEM), which is a random uncertainty analysis method by employing the orthogonal polynomial bases from the Askey scheme to represent the random space, has been widely used in engineering applications due to its good performance in both computational efficiency and accuracy. But in gPCEM, a nonlinear transformation of random variables should always be used to adapt the generalized Polynomial Chaos theory for the analysis of random problems with complicated probability distributions, which may introduce nonlinearity in the procedure of random uncertainty propagation as well as leading to approximation errors on the probability distribution function (PDF) of random variables. …”
Get full text

Existence of solutions for elliptic equations having natural growth terms in Orlicz spaces by A. Elmahi, D. Meskine

“…Existence result for strongly nonlinear elliptic equation with a natural growth condition on the nonlinearity is proved.…”
Get full text

Two-point boundary value problems involving reflection of the argument by Chaitan P. Gupta

“…Two point boundary value problems involving reflection of the argument are studied. The nonlinearity involved is allowed to cross asymptotically any number of eigenvalues of the associated linear eigenvalue problem as long as those crossings take place in subsets of sufficiently small measure.…”
Get full text

Robustness of Exponential Dissipation with respect to Small Time Delay by Xunwu Yin

“…We investigate robustness of exponential dissipation for the following general nonlinear evolutionary equation with small time delay: We firstly obtain a converse Lyapunov theorem. …”
Get full text

General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponents by Mohammad Alnegga, Abdelbaki Choucha, Djamel Ouchenane, Salah Boulaaras

“…A nonlinear Kirchhoff-type equation with logarithmic nonlinearity and variable exponents is studied. …”
Get full text

Quantification of external disturbance forces in sliding microwire by Fazlar Rahman, M.A. Salam Akanda

“…Analytical assessment is also complex because of multi-physics involvement, nonlinearity of forces, and a lack of suitable mathematical models. …”
Get full text

Proton response and neutron spectrum unfolding by solution-grown trans-stilbene scintillator by Nguyen Duy Quang, H. J. Kim, Sunghwan Kim, Sinchul Kang, Phan Quoc Vuong, Phan Bao Quoc Hieu, Nguyen Kien Cuong, Y. S. Yoon, Uk-Won Nam

“…The photomultiplier tube nonlinearity effect was studied and corrected for high-energy measurement. …”
Get full text

SYNTHESIS METHODS OF ALGEBRAIC NORMAL FORM OF MANY-VALUED LOGIC FUNCTIONS by A. V. Sokolov, O. N. Zhdanov, O. A. Ayvazian

“…The article also introduces the definition of algebraic degree of nonlinearity of the functions of many-valued logic and the S-box, based on the principles of many-valued logic. …”
Get full text

Both Low and High Postprocedural hsCRP Associate with Increased Risk of Death in Acute Coronary Syndrome Patients Treated by Percutaneous Coronary Intervention by Runzhen Chen, Chen Liu, Peng Zhou, Yu Tan, Zhaoxue Sheng, Jiannan Li, Jinying Zhou, Yi Chen, Li Song, Hanjun Zhao, Hongbing Yan

“…RCS analysis depicted a J-shaped association between postprocedural hsCRP and mortality (P for nonlinearity=0.004). Similar association was observed between hsCRP and cardiac death (P for nonlinearity=0.014), but not for noncardiac mortality (P for nonlinearity=0.228). …”
Get full text

Solvability of Some Boundary Value Problems for Fractional -Laplacian Equation by Taiyong Chen, Wenbin Liu

“…This paper considers the existence of solutions for two boundary value problems for fractional -Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, two new existence results are obtained by using Schaefer's fixed point theorem. …”
Get full text

Bifurcation of Gradient Mappings Possessing the Palais-Smale Condition by Elliot Tonkes

“…The existence of the bifurcation branch and the asymptotic nature of the bifurcation is verified by using the compactness in the Palais Smale condition and the order of the nonlinearity in the operator. The main result is applied to estimate the asyptotic behaviour of solutions to a class of semilinear elliptic equations with a critical Sobolev exponent.…”
Get full text

Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems by Yongqing Wang

“…The interesting point lies in that the assumption on nonlinearity is closely associated with the spectral radius corresponding to the relevant linear operator.…”
Get full text

Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System by Chin-Chin Wu

“…We study traveling waves for a two-dimensional lattice dynamical system with bistable nonlinearity in periodic media. The existence and the monotonicity in time of traveling waves can be derived in the same way as the one-dimensional lattice case. …”
Get full text