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56 articles for “Nonlinear Systems”

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Research ArticleOpen accessPhrase in the titleChaos Control in Nonlinear Systems Using the Generalized Backstopping MethodA.R. Sahab, M. Haddad ZarifOne of the most important nonlinear systems for checking the abilities of control methods is chaos. In this study chaos in Lorenz system was used for checking abilities of new control method. This new method to control nonlinear systems was called Generalized Backstepping method because of its similarity to Backstepping but its abilities to control more systems than Backstepping. This … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 4 · 31 Mar 2008 · 7,064 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA New Newton's Method with Diagonal Jacobian Approximation for Systems of Nonlinear EquationsM. Y. Waziri, W. J. Leong, M. A. Hassan, M. MonsiProblem statement: The major weaknesses of Newton method for nonlinear equations entail computation of Jacobian matrix and solving systems of n linear equations in each of the iterations. Approach: In some extent function derivatives are quit costly and Jacobian is computationally expensive which requires evaluation (storage) of n×n matrix in every iteration. Results: This storage requirement became unrealistic when n … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 8,538 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAnalytical Solution of Nonlinear Vibrating SystemsN. Tolou, I. Khatam, B. Jafari, D. D. GanjiThe responses of nonlinear vibrating systems are investigated analytically using Homotopy Perturbation Method (HPM). To demonstrate the validity of the proposed method, the results obtained by HPM have been depicted graphically and have been compared with those of the exact solution. A clear conclusion can draw from the numerical results that the method provides highly accurate solutions to the discussed … …American Journal of Applied Sciences, Vol. 5, Issue 9 · 30 Sep 2008 · 7,149 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAnalytic and Nonlinear Prognostic for Vehicle Suspension SystemsAbdo Abou Jaoude, Khaled El-TawilPredicting Remaining Useful Lifetime (RUL) of industrial systems becomes currently an important aim for industrialists knowing that the expensive failure can occur suddenly. As the classical strategies of maintenance are not efficient and practical because they neglect the evolving product state and environment, the recent prognostic approaches try to fill this gap. This approach shows to be important in ensuring … …American Journal of Engineering and Applied Sciences, Vol. 6, Issue 1 · 23 Feb 2013 · 7,522 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAccurate Determination of Nonlinear Refractive Index for Some Binary Glass SystemsElSayed MoustafaProblem statement: This study investigates the relation between the nonlinear optical susceptibility (χ(3)) and the ratio (α1/αo-2), then the nonlinear index determination for some binary glass systems. Recently suitable relationship between the oxidation polarizability and the nonlinear optical properties was established for simple oxides glasses. So in this study more attention and investigation is paid to the trend of that … …American Journal of Applied Sciences, Vol. 8, Issue 1 · 31 Jan 2011 · 7,692 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleDirect Model Reference Adaptive Controller Based-On Neural-Fuzzy Techniques for Nonlinear Dynamical SystemsHafizah Husain, Marzuki Khalid, Rubiyah YusofThis paper presents a direct neural-fuzzy-based Model Reference Adaptive Controller (MRAC) for nonlinear dynamical systems with unknown parameters. The two-phase learning is implemented to perform structure identification and parameter estimation for the controller. In the first phase, similarity index-based fuzzy c-means clustering technique extracts the fuzzy rules in the premise part for the neural-fuzzy controller. This technique enables the recruitment … …American Journal of Applied Sciences, Vol. 5, Issue 7 · 31 Jul 2008 · 6,939 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleRegionalization Method for Nonlinear Differential Equation Systems In a Cartesian PlanBelaib LekhmissiWe propose a regionalization technique for analyzing nonlinear differential equation systems where coefficients are standard and nonzero. The present work starts with the study of a natural object which was the magic squares providing us with a new way to partition the plan in regions. …Journal of Mathematics and Statistics, Vol. 2, Issue 4 · 31 Dec 2006 · 6,069 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Cartesian Regulator for an Ideal Position-Servo Actuated Didactic Mechatronic Device: Asymptotic Stability AnalysisGabriela Zepeda, Rafael Kelly, Carmen MonroyPosition-servo actuators are by themselves feedback mechatronics systems modeled by Ordinary Differential Equations (ODE). From a technological point of view, position-servos are based upon an electrical motor, a shaft angular position sensor, and a dominant Proportional controller. These position servo actuators are at the core of several real-life practical and didactic mechatronics and robotics systems. The contribution of this study … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 3 · 16 Sep 2022 · 5,821 accessesView PDFCite
Research ArticleOpen accessIn the keywordsANALISIS OF THE NONLINEAR DISTRIBUTED CONTROL SYSTEM'S SUSTAINABILITYAlexander B. Chernyshev, Karina V. Martirosyan, Alexander V. MartirosyanSystems' stability is the topical issue of control systems' development province. In this study the research of methodology of the nonlinear distributed control systems' stability assessment is conducted. Research of the standard distributed links' frequency surfaces is executed, limit characteristics of the parameters influencing by sight of spatial hodograph are investigated. The purpose of the work is to present the … …Journal of Mathematics and Statistics, Vol. 10, Issue 3 · 11 Jul 2014 · 6,708 accessesView PDFCite