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26 articles for “Lyapunov”
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Research ArticleOpen accessEvery word in the titleLyapunov Function for a Dengue Transmission Model where two Species of Mosquitoes are Present: Global StabilityI Ming Tang, Rattiya Sungchasit, Puntani PongsumpunIn this study, we are interested in the newly observed endemic due to the ZIKA virus. In the absence of a full knowledge of the dynamics of the infection due to this virus, we consider a model of the closely related dengue virus when there are two species of mosquitoes, A. aegypti and A. albopictus mosquitoes who are both capable … …American Journal of Applied Sciences, Vol. 14, Issue 10 · 25 Oct 2017 · 8,274 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleApplication Lyapunov Theory to Determine Control Strategy of Static Var Compensator for Damping Power System OscillationPrechanon KumkratugProblem statement: The disturbance in power system is unavoidable situation. It causes in power system oscillation. Approach: This study applied the Static Var Compensator (SVC) to damp power system oscillation. The stability criterion of the Lyapunov is applied to derive the control strategy of SVC. The simulation results are tested on a Single Machine Infinite bus. The proposed method is … …American Journal of Applied Sciences, Vol. 8, Issue 2 · 28 Feb 2011 · 7,430 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Multiple-Chaotic Approach for SteganographyHaneen H. Alwan, Zahir M. HussainIn a recent work, chaos has been utilized to modify addresses of message bits while hidden in a cover image. In this study, we extend the above technique to include multiple chaotic maps for increased security. Three systems have been modified using chaotic-address mapping for image steganography in the spatial domain. The first system, the well-known LSB technique, is based … …Journal of Computer Science, Vol. 15, Issue 10 · 17 Oct 2019 · 7,427 accessesView PDFCite
Research ArticleOpen accessIn the keywordsStabilized Controller Design for Attitude and Altitude Controlling of Quad-Rotor Under Disturbance and Noisy ConditionsM. Hassan Tanveer, S. Faiz Ahmed, D. Hazry et al.This article presents a control approach to obtain the better stabilization in attitude and altitude of quad-rotor under different disturbance conditions. In the standard Quad-rotor rotor type UAV, controlling of attitude and altitude is one of the most critical tasks and appropriate controller for stabilization of UAV is essential and necessary. These two controls under various conditions of disturbances was … …American Journal of Applied Sciences, Vol. 10, Issue 8 · 24 Jul 2013 · 8,524 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThermal Control of a Greenhouse by Variation in Ventilation Rate using a Fuzzy Parallel Distributed Compensation Controller with an RST Regulator in Each RuleElyes Feki, Amine Chouchaine, Abdelkader MamiProblem statement: The greenhouse has uncontrollable inputs that affect its climate, which arises the difficulty to regulate its inside temperature. The solution can be found using a multi-system approach like the Takagi-Sugeno System from which a design of a Parallel Distributed Compensation (PDC) controller is performed. However, a stability problem arises and was negotiatesd in general based on a Lyapunov … …American Journal of Applied Sciences, Vol. 9, Issue 7 · 27 Apr 2012 · 7,098 accessesView PDFCite
Research ArticleOpen accessIn the keywordsStabilization of a Nonlinear Delay SystemWalid Arouri, Elyes Maherzi, Mongi Besbes, Houda Ben Attia SethomProblem statement: The analysis and control of delayed systems are becoming more and more research topics in progress. This is mainly due to the fact that the delay is frequently encountered in technological systems. This can affect their significantly operations. Most control command laws are based on current digital computers and delays are intrinsic to the process or in the … …American Journal of Applied Sciences, Vol. 9, Issue 3 · 31 Jan 2012 · 6,844 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNew sufficient condition of Discrete-time systems of neural networksManlika Tanusit, Kreangkri RatchagitProblem statement: In this study, we derive a new sufficient condition for asymptotic stability of the zero solution of delay-differential system of neural networks in terms of certain matrix inequalities by using a discrete analog of the new Lyapunov second method. Conclusion/Recommendations: The problem is solved by applying a novel Lyapunov functional and an improved delay-dependent stability criterion is obtained … …American Journal of Applied Sciences, Vol. 8, Issue 2 · 28 Feb 2011 · 7,005 accessesView PDFCite
Research ArticleOpen accessIn the keywordsThe Delay-Dependent for Discrete-Time SystemsKreangkri RatchagitProblem statement: This study is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays. Conclusion/Recommendations: The problem is solved by applying a novel Lyapunov functional and an improved delay-dependent stability criterion is obtained in terms of a linear matrix inequality. …American Journal of Applied Sciences, Vol. 7, Issue 12 · 31 Dec 2010 · 7,076 accessesView PDFCite
Research ArticleOpen accessIn the keywordsRehabilitation of a Human Arm Supported by a Robotic Manipulator: A Position/Force Cooperative ControlHaifa Mehdi, Olfa BoubakerProblem statement: The assistance of person with limited ability of arm movement is necessary for rehabilitation reasons. This aid is required not only to cover the human performances of the arm in motion and force but also to have a strictly stable dynamics. In this study, we proposed a cooperative system between a disabled arm and a robotic manipulator to … …Journal of Computer Science, Vol. 6, Issue 8 · 31 Aug 2010 · 7,456 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn the Stability and Ultimate Boundedness of Solutions for Certain Third Order Differential EquationsA.T. Ademola, P.O. ArawomoProblem Statement: With respect to our observation in the relevant literature, work on stability and boundedness of solution for certain third order nonlinear differential equations where the nonlinear and the forcing terms depend on certain variables are scare. The objective of this study was to get criteria for stability and boundedness of solutions for these classes of differential equations. Approach: … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,911 accessesView PDFCite