Quadcopter Aggressive Maneuvers along Singular Configurations: An Energy-Quaternion Based Approach by Ayman A. El-Badawy, Mohamed A. Bakr

“…Three looping strategies (circular, clothoidal, and newly developed constant thrust) are implemented on a nonlinear model of the quadcopter. The three looping strategies are discussed along with their advantages and limitations.…”
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Pole Placement-Based NMPC of Hammerstein Systems and Its Application to Grade Transition Control of Polypropylene by He De-Feng, Yu Li

“…This paper presents a new nonlinear model predictive control (MPC) algorithm for Hammerstein systems subject to constraints on the state, input, and intermediate variable. …”
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Modeling of Flocculation and Sedimentation Using Population Balance Equation by Zhipeng Shi, Genguang Zhang, Yuzhuo Zhang, Tingting He, Guoliang Pei

“…The results showed that flocculation is a dynamic and nonlinear process containing aggregation, breakage, reaggregation, and rebreakage between particles, microflocs, and macroflocs. …”
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Morphological spatial patterns in a reaction diffusion model for metal growth by Benedetto Bozzini, Deborah Lacitignola, Ivonne Sgura

“…In this paper a reaction-diffusion system modelling metal growth processes is considered, to investigate -within the electrodeposition context- the formation of morphological patterns in a finite two-dimensional spatialdomain. Nonlinear dynamics of the system is studied from both the analytical and numerical points of view. …”
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Compensation for Cross-Coupled Dynamics of Dual Twisted-String Actuation Systems by Lei Jiang, Yuejuan Li, Marvin H. Cheng

“…Due to the physical properties of twisted string, the actuator has problems of nonlinear length variation and cross-coupled relationships between two strings. …”
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Approximate Solutions of Fisher's Type Equations with Variable Coefficients by A. H. Bhrawy, M. A. Alghamdi

“…Also the results demonstrate that the proposed method is powerful algorithm for solving the nonlinear partial differential equations.…”
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Approximate Symmetries Analysis and Conservation Laws Corresponding to Perturbed Korteweg–de Vries Equation by Tahir Ayaz, Farhad Ali, Wali Khan Mashwani, Israr Ali Khan, Zabidin Salleh, Ikramullah

“…The Korteweg–de Vries (KdV) equation is a weakly nonlinear third-order differential equation which models and governs the evolution of fixed wave structures. …”
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Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF by J. L. Echenausía-Monroy, J. H. García-López, R. Jaimes-Reátegui, D. López-Mancilla, G. Huerta-Cuellar

“…This work presents a multiscroll generator system, which addresses the issue by the implementation of 9-level saturated nonlinear function, SNLF, being modified with a new control parameter that acts as a bifurcation parameter. …”
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Observer-Based PID Security Control for Discrete-Time T-S Fuzzy Systems under Distributed Dynamic Event-Triggered Mechanism by Sisi Lin, Mengzhuo Luo, Shouming Zhong, Kaibo Shi, Xingxu Tan

“…This study addresses the observer-based proportional-integral-derivative (PID) security control problem for nonlinear discrete-time fuzzy systems subject to deception attacks. …”
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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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Parameter Estimation for a Class of Lifetime Models by Xinyang Ji, Shunhou Fan, Wei Fan

“…Our purpose in this paper is to present a better method of parametric estimation for a bivariate nonlinear regression model, which takes the performance indicator of rubber aging as the dependent variable and time and temperature as the independent variables. …”
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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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Pulse Width Modulation Control of Mecanum-Wheeled Mobile Robot With Random Noise by Ruijie Yin, Zhaojing Wu, Likang Feng

“…As a preliminary, PWM strategy of random nonlinear systems is obtained by the aid of the functional analysis tool. …”
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Elastoplastic Analysis of Circular Tunnel Based on Drucker–Prager Criterion by Xiongfei Yang, Hong Yuan, Jiayu Wu, Shanqing Li

“…The piecewise linearization of the nonlinear yield function is used to analyze the elastoplastic solution of the cylindrical hole shrinkage. …”
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Anisotropic Bulk Viscous String Cosmological Model in a Scalar-Tensor Theory of Gravitation by D. R. K. Reddy, Ch. Purnachandra Rao, T. Vidyasagar, R. Bhuvana Vijaya

“…Exact solution of the highly nonlinear field equations is obtained using the following plausible physical conditions: (i) scalar expansion of the space-time which is proportional to the shear scalar, (ii) the barotropic equations of state for pressure and energy density, and (iii) a special law of variation for Hubble’s parameter proposed by Berman (1983). …”
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Approximate Controllability of Semilinear Control System Using Tikhonov Regularization by Ravinder Katta, N. Sukavanam

“…We exhibit a sequence of regularized controls which steers the semilinear control system from an arbitrary initial state x0 to an ϵ neighbourhood of the target state xτ at time τ>0 under the assumption that the nonlinear function f is Lipschitz continuous. The convergence of the sequences of regularized controls and the corresponding mild solutions are shown under some assumptions on the system operators. …”
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Abnormal Event Detection via Multikernel Learning for Distributed Camera Networks by Tian Wang, Jie Chen, Paul Honeine, Hichem Snoussi

“…The visual event is summarized and represented by the histogram of the optical flow orientation descriptor, and then a multikernel strategy that takes the multiview scenes into account is proposed to improve the detection accuracy. A nonlinear one-class SVM algorithm with the constructed kernel is then trained to detect abnormal frames of video sequences. …”
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Numerical Solution of Piecewise Constant Delay Systems Based on a Hybrid Framework by H. R. Marzban, S. Hajiabdolrahmani

“…It is shown that the developed approach is also applicable to a special class of nonlinear piecewise constant delay differential equations. …”
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Analytic Approximate Solution for Falkner-Skan Equation by Vasile Marinca, Remus-Daniel Ene, Bogdan Marinca

“…This paper deals with the Falkner-Skan nonlinear differential equation. An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem. …”
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From the Guest Editors by Urszula Ledzewicz, Andrzej Swierniak

“…The idea for this volume came from the session ''Control and Dynamics ofBiomedical Systems,'' which we organized at the Fourth World Congress of NonlinearAnalysts held in Orlando, Florida, on June 30–July 7, 2004. …”
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