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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FAULT DIAGNOSIS OF RECIPROCATING COMPRESSOR ON THE RESONANCE-BASED SPARSE SIGNAL DECOMPOSITION WITH OPTIMAL Q-FACTOR by WANG JinDong, BU QingChao, ZHAO HaiYang, ZHANG HongBin

“…Reciprocating compressor vibration signal is typical nonlinear and non-stationary,and the vibration information interference coupling, owing to this problem,a fault diagnosis method of reciprocating compressor on the resonance-based sparse signal decomposition with optimal Q-factor was proposed.The method use resonance sparse decomposition to find the low resonance component which its kurtosis is maximum, optimize Q-factor with genetic algorithm and particle swarm optimization to get the optimal Q-factor;then use resonance sparse decomposition to decompose reciprocating compressor vibration signal by the optimal Q-factor;the result shows that this method can diagnose the oversized bearing clearance fault effectively.…”
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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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Impulsive Control and Synchronization of Complex Lorenz Systems by Shaban Aly, Ali Al-Qahtani, Houari B. Khenous, Gamal M. Mahmoud

“…In this paper, we continue our investigations on control and synchronization of the complex Lorenz systems by investigating impulsive control and synchronization. Nonlinear systems involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems; For example, many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, population dynamics and so forth do exhibit impulsive effects. …”
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Controller Design of Multiinput Multioutput Time-Delay Large-Scale System by Chia-Wei Lin, Tzuu-Hseng S. Li, Chung-Cheng Chen

“…The paper presents a novel feedback linearization controller of nonlinear multiinput multioutput time-delay large-scale systems to obtain both the tracking and almost disturbance decoupling (ADD) performances. …”
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The General Traveling Wave Solutions of the Fisher Equation with Degree Three by Wenjun Yuan, Qiuhui Chen, Jianming Qi, Yezhou Li

“…Our results show that the complex method provides a powerful mathematical tool for solving a large number of nonlinear partial differential equations in mathematical physics.…”
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New TDOA algorithm based on Taylor series expansion in cellular networks by ZHANG Ling-wen, TAN Zhen-hui

“…TDOA is the most potential positioning technique in cellular mobile telecommunication systems.Taylor series expansion method has been widely used in solving nonlinear equations for its high accuracy and good robustness.However,the performance of Taylor’s method depends highly on the initial estimation.Therefore one new algorithm（HOA,hybrid optimizing algorithm） was proposed which combines the Taylor series expansion method with steepest decent method.Steepest decent method is with the properties of fast convergence at the initial iterativeness and small computation complexity.HOA takes great advantages of both methods.Simulation results show that HOA has achieved better performance on positioning accuracy and efficiency.…”
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Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales by Yongkun Li, Chao Wang

“…Finally, as an application of our results, we study the existence of almost periodic solutions for an almost periodic nonlinear dynamic equations on time scales.…”
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Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions by A. Roldán, J. Martínez-Moreno, C. Roldán, E. Karapınar

“…We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ()-contractivity condition in partial metric spaces. …”
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A Novel Approach to Measure the Hydraulic Capacitance of a Microfluidic Membrane Pump by Chun-Hui Wu, Chia-Wei Chen, Long-Sheng Kuo, Ping-Hei Chen

“…The measured hydraulic capacitance data and the proposed equations in the linear and nonlinear regions qualitatively exhibited good agreement.…”
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King-Type Derivative-Free Iterative Families: Real and Memory Dynamics by F. I. Chicharro, A. Cordero, J. R. Torregrosa, M. P. Vassileva

“…A biparametric family of derivative-free optimal iterative methods of order four, for solving nonlinear equations, is presented. From the error equation of this class, different families of iterative schemes with memory can be designed increasing the order of convergence up to six. …”
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Meshing Contact Dynamics Analysis of Food Conveyor Chain based on ADAMS by Fan Yayun, Shi Xiudong, Gu Ronghua, Wang Mengping

“…In the view of meshing impact during the operation of food conveyor chain drive,based on Hertz contact theory,the amplitude and expression of the impact force of the driving sprocket are given by building the nonlinear spring damping dynamics model of meshing impact. …”
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Controllability of a fluid-structure interaction system coupling the Navier–Stokes system and a damped beam equation by Buffe, Rémi, Takahashi, Takéo

“…Then, the result on the nonlinear system is obtained by a fixed-point argument.…”
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Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability by Manuel De la Sen, Asier Ibeas

“…Some applications are also given to the important problem of global stability of a class of extended nonlinear polytopic-type parameterizations of certain dynamic systems.…”
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Optimal feedback control of dynamical systems via value-function approximation by Kunisch, Karl, Walter, Daniel

“…A self-learning approach for optimal feedback gains for finite-horizon nonlinear continuous time control systems is proposed and analysed. …”
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Reinforcement Learning-Based Adaptive Control of a Piezo-Driven Nanopositioning System by Liheng Chen, Qingsong Xu

“…In this design, an actor-critic structure is developed to eliminate the effects of uncertain nonlinearities and cross-coupling motion between the two working axes. …”
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Study on the Model of Slider-crank Mechanism with Clearance based on Parameter Identification Method by Zeng Qingsheng, Wang Xiangjiang, Tang Xiaohuan

“…The comparison results show that the model of using the method of parameter identification has high accuracy and modeling process is simple,a new train of thought for complex nonlinear modeling of the electromechanical system is provided.…”
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