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26 articles for “Lyapunov”
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Research ArticleOpen accessIn the keywordsAsymptotic Behavior for Solution of Reaction-Diffusion SystemsM. Yahi, K. SaoudiThe existence, uniqueness, and asymptotic behavior of the solution of a balanced two-component reaction-diffusion system have been investigated. It was shown that a global and unique solution existed and its second component can be estimated using the Lyapunov Functional. It was, also, demonstrated that each component of the solution converged, at infinity, to a constant which can be found in … …Journal of Mathematics and Statistics, Vol. 3, Issue 3 · 30 Sep 2007 · 6,845 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 keywordsA Boundedness Theorem for a Certain Third Order Nonlinear Differential EquationA.T. Ademola, R. Kehinde, O.M. OgunlaranIn this study, we establish conditions for ultimate boundedness of solutions for a certain third order nonlinear differential equation using a complete Yoshizawa function. The result includes and extends the earlier results in the literature. …Journal of Mathematics and Statistics, Vol. 4, Issue 2 · 30 Jun 2008 · 6,925 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
Research ArticleOpen accessIn the abstractBIFURCATION ANALYSIS OF EQUILIBRIUM POINT IN TWO NODE POWER SYSTEMHalima Aloui, Faouzi Bacha, Moncef GasmiThis study presents a study of bifurcation in a dynamic power system model. It becomes one of the major precautions for electricity suppliers and these systems must maintain a steady state in the neighborhood of the operating points. We study in this study the dynamic stability of two node power systems theory and the stability of limit cycles emerging from … …American Journal of Applied Sciences, Vol. 11, Issue 4 · 29 Jan 2014 · 7,055 accessesView PDFCite
Research ArticleOpen accessIn the abstractController Based Observer in Switched System with Norm Bounded UncertaintyMongi Besbes, Elyes MaherziProblem statement: This study discusses the robust stabilization of norm bounded discrete switched systems. Approach: The proposed method is using the second Lyapunov approach and the poly-quadratic function concept. The stabilization conditions are written through linear matrix inequality relations. The control law is based on a static output feedback with the use of a switched observer. The synthesis conditions of … …American Journal of Applied Sciences, Vol. 9, Issue 7 · 11 May 2012 · 6,904 accessesView PDFCite
Research ArticleOpen accessIn the abstractNonlinear Control Design of Shunt Flexible AC Transmission System Devices for Damping Power System OscillationPrechanon KumkratugProblem statement: The disturbance in the complicated network of power system may cause in nonlinear response. Static Synchronous Compensator (STATCOM) is a power electronic based device that has the capability of controlling the line current. This study applies the STATCOM to decrease the over line current in power system during dynamic state. Approach: This study proposes the control strategy of … …Journal of Computer Science, Vol. 7, Issue 6 · 14 Jun 2011 · 6,599 accessesView PDFCite