Research ArticleOpen accessPhrase in the titleDesigning of PID Controller for Discrete Time Linear System Using Balanced Approach Reduced Order ModelC.S. Ravichandran, S. Subha Rani, T. ManikandanModeling physical systems usually results in complex high-order dynamic models. It is often desirable to approximate these models by simpler models with reduced order. This study deals with the design of discrete time linear system using a balanced approach reduced order model. The reduced order model retains the desired state variable which contains a significant contribution. A PID controller is … …American Journal of Applied Sciences, Vol. 4, Issue 3 · 31 Mar 2007 · 7,128 accessesView PDFCite
Research ArticleOpen accessIn the abstractTAGN-IDC: Implicit Discrete Constraints for Tsunami Aware Graph Neural Networks in Spatial Evacuation RoutingSularno, Wendi Boy, Putri Anggraini et al.Tsunami evacuation route requires rapid identification of safe evacuation paths under dynamically changing hazard conditions. A major challenge is incorporating hard binary road-blockage constraints caused by tsunami inundation while maintaining end-to-end differentiability for deep learning models. Existing approaches commonly rely on continuous relaxations or stochastic sampling techniques, which either compromise physical feasibility or increase computational complexity. This study proposes the … …Journal of Computer Science, Vol. 22, Issue 9 · 24 Sep 2026 · 704 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputational Techniques for Stability Analysis of a Class of Dynamic Economic ModelsGeorge E. Halkos, Kyriaki D. TsilikaModern microeconomics and macroeconomics study dynamic phenomena. Dynamics could predict future states of an economy based on its structural characteristics. Dynamic models in discrete time discrete state economic systems may take the form of one single linear difference equation or a system of linear difference equations. In this study we use Xcas and Mathematica as software tools in order to … …American Journal of Applied Sciences, Vol. 9, Issue 12 · 12 Dec 2012 · 7,379 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 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 PDFCite
Research ArticleOpen accessIn the abstractDiscrete Wavelet Transform Based Classification of Human Emotions Using Electroencephalogram SignalsMohamed RizonProblem statement: The aim of this study was to report the human emotion assessment using Electroencephalogram (EEG). Approach: An audio-visual induction based protocol was designed for inducing five different emotions (happy, surprise, fear, disgust and neutral) on 20 subjects in the age group of 19~39 years. EEG signals are recorded from 64 channels placed over entire scalp according to International … …American Journal of Applied Sciences, Vol. 7, Issue 7 · 31 Jul 2010 · 7,549 accessesView PDFCite
Research ArticleOpen accessIn the abstractControl of Hybrid Systems With Independent Continuous and Discrete GoalsM. De la Sen, J.C. Soto, A. Gallego, J.L. MalainaThis paper deals with the control of a class of perfectly modelled linear hybrid systems which consist of two, in general coupled, subsystems one being continuous -time while the second one is digital. Both subsystems are driven by continuous time and sampled values of a control input. The description of the overall system is given through an extended hybrid system … …American Journal of Applied Sciences, Vol. 5, Issue 2 · 28 Feb 2008 · 7,133 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputational Discrete Time Markov Chain with Correlated Transition ProbabilitiesPeerayuth CharnsethikulThis study presents a computational procedure for analyzing statistics of steady state probabilities in a discrete time Markov chain with correlations among their transition probabilities. The proposed model simply uses the first order Taylor’s series expansion and statistical expected value properties to obtain the resulting linear matrix equations system. Computationally, the bottleneck is O(n4) but can be improved by distributed … …Journal of Mathematics and Statistics, Vol. 2, Issue 4 · 31 Dec 2007 · 6,648 accessesView PDFCite
Research ArticleOpen accessIn the abstractFault Detection and Isolation in Dynamic Systems using Statistical Local Approach and Hybrid Least Squares AlgorithmBelkacem Athamena, Zina Houhamdi, Mohammed MuhairatA fault detection and isolation (FDI) scheme for dynamic system proposed. This study deals with the design of discrete-time linear system using delta operator approach and the hybrid least squares (HLS) algorithm. A third residual generation based on statistical local approach and the derivative of the normalized residual on a small temporal window investigated. This new technique meets the desired … …American Journal of Applied Sciences, Vol. 4, Issue 12 · 31 Dec 2007 · 7,430 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordNew 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