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22 articles for “Lyapunov's stability”
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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 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 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 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
Research ArticleOpen accessIn the keywordsAdaptive Control of Networked Systems in the Presence of Bounded DisturbancesA. H. Tahoun, Fang Hua-JingThe insertion of data network in the feedback adaptive control loops makes the analysis and design of networked control systems more complex than traditional control systems. This paper addresses the adaptive stabilization problem of linear time-invariant networked control systems when the measurements of the plant states are corrupted by bounded disturbances. The case of state feedback is treated in which … …Journal of Computer Science, Vol. 3, Issue 9 · 30 Sep 2007 · 6,537 accessesView PDFCite
Research ArticleOpen accessIn the abstractA 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 abstractVehicle-Fixed-Frame Adaptive Controller and Intrinsic Nonlinear PID Controller for Attitude Stabilization of a Complex-Shaped Underwater VehicleChanaka Thushitha Bandara, Lakmali Nadeesha Kumari, Sanjeeva Maithripala, Asanga RatnaweeraIn this study we present attitude stabilization using a vehicle-fixed-frame adaptive controller and an intrinsic nonlinear PID controller for a low-speed Autonomous Underwater Vehicle (AUV), of complex shape. Controlling an AUV poses a huge challenge because of the non-linearity, time variance and unpredictable external disturbance, as well as because its dynamics and hydrodynamic parameters are difficult to identify due to … …Journal of Mechatronics and Robotics, Vol. 4, Issue 1 · 7 Dec 2020 · 6,987 accessesView PDFCite
Research ArticleOpen accessIn the abstractRobust and Efficient Controller to Design a Standalone Source Supplied DC and AC Load Powered by Photovoltaic GeneratorHassan AbouobaidaThe present work describes the analysis, modeling and control of a cascade DC-DC and DC-AC power conditioning stage to control a output voltage to supply a DC and AC load systems. To maximize energy extracted from PV generator and control output voltage a RCC MPPT and backstepping controller are designed. The stability of the control algorithm is demonstrated by means … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 4 · 26 Oct 2016 · 7,723 accessesView PDFCite
Research ArticleOpen accessIn the abstractBifurcation and Stability Analysis of a Food Web in a ChemostatS.M. Sohel RanaIn this study, a classical model describing a food web in a chemostat involving three species competing for non-reproducing, growth rate-limiting nutrient in which one of the competitors predates on one of the other competitors is considered. Quantitative analyses of non-negativity and boundedness of solution trajectories, dissipativity, behavior around equilibria, global stability and persistence of the model equations are analyzed. … …Journal of Mathematics and Statistics, Vol. 12, Issue 4 · 22 Oct 2016 · 7,081 accessesView PDFCite