15 results for “Lyapunov Function”

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Research ArticleOpen accessIn the abstractThe 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 PDF Cite

Research ArticleOpen accessIn the abstractSliding Mode Control with PID Tuning Technique: An Application to a DC Servo Motor Position Tracking ControlTossaporn Chamsai, Piyoros Jirawattana, Thana RadpukdeeProblem statement: In this study, a combination of a classical Sliding Mode Control (SMC) and a PID tuning technique with low-pass filter is developed for a position tracking control of a DC servo motor. Approach: The DC servo motor will be used to adjust the throttle angle of the gasoline engine in our laboratory. To control the engine speed to … …Energy Research Journal, Vol. 1, Issue 2 · 31 Oct 2010 · 8,084 accessesView PDF Cite

Research ArticleOpen accessIn the abstractSynthesis of a Robust Multiobserver for the Estimation of Unknown Inputs Using the Piecewise Quadratic FunctionsElyes Maherzi, Mongi Besbes, Sami Zemmel, Radhi MhiriProblem statement: The estimation of states and the unknown inputs of a nonlinear system described by a multimodel are done by a multiobserver. The stabilization of the multiobserver calls upon uses both quadratic and no quadratic functions of Lyapunov. Although the stabilization using the quadratic approach is interesting from the point of view implementation, the step showed its limits for … …American Journal of Applied Sciences, Vol. 7, Issue 9 · 30 Sep 2010 · 7,390 accessesView PDF Cite

Research ArticleOpen accessIn the abstractAsymptotic Behavior of an Artificial Neural Network Defined on Multipartite Directed GraphN. C. Majee, A. B. RoyProblem statement: Artificial Neural Network (ANN) are simple models to mimic some essential features of the complex central nervous system. ANN models are realistic due to their inherent stochastic nature of neural computation and strong synchronicity. Different ANN models are associated with directed and signed graphs. The present study proceeded by relaxing certain simplifying assumptions in the ANN model. Approach: … …OnLine Journal of Biological Sciences, Vol. 10, Issue 1 · 30 Jun 2010 · 7,476 accessesView PDF Cite

Research ArticleOpen accessIn the abstractStability of Non-Neutral and Neutral Dynamic Switched Systems Subject to Internal DelaysM. De la Sen, J. L. Malaina, A. Gallego, J. C. SotoThis study deals with the quadratic stability and linear state-feedback and output-feedback stabilization of switched delayed linear dynamic systems with, in general, a finite number of non commensurate constant internal point delays. The results are obtained based on Lyapunov’s stability analysis via appropriate Krasovsky-Lyapunov’s functionals and the related stability study is performed to obtain both delay independent and delay dependent … …American Journal of Applied Sciences, Vol. 2, Issue 10 · 31 Oct 2005 · 6,720 accessesView PDF Cite