Research ArticleOpen accessEvery word in the titlePartial Eigenvalue Assignment for High-Order Linear Systems in a Time Delayed SystemEhab A. El-Sayed, Eid E. El BehadyThis paper introduces a solution to the partial eigenvalues assignment problem of high order linear systems with time delayed system in both single-input and multi-input cases using orthogonality relations between eigenvectors of the matrix polynomial. The solution requires the knowledge of only a few eigenvalues and with corresponding left eigenvectors of matrix polynomial. The numerical examples are done to illustrate … …American Journal of Applied Sciences, Vol. 13, Issue 9 · 29 Sep 2016 · 7,003 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAnalysis of Time-Delayed Neural Networks via Rightmost Eigenvalue PositionsSun Yi, Sangseok Yu, Jung H. Kim, Taher M. Abu-LebdehNeural networks have been frequently used in various areas. In the implementation of the networks, time delays and uncertainty are present and known to lead to complex behaviors, which are hard to predict using classical analysis methods. In this study, stability and robust stability of neural networks considering time delays and parametric uncertainty is studied. For stability analysis, the rightmost … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 1 · 26 Jan 2015 · 8,057 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn Computing of Eigenvalues of Differential Equations Q = λP with Eigenparameter in Boundary ConditionsS. M. Al-HarbiProblem statement: Our purpose of this study is to use sinc methods to compute approximately the eigenval-ues of second-order operator pencil of the form Q-λP. Approach: Where Q is second order self adjoint differential operator and P is a first order and λ∈C is an eigenvalue parameter. Results: The eigenparameter appears in the boundary conditions linearly. Using computable error boundswe … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 29 Jan 2011 · 6,826 accessesView PDFCite
Research ArticleOpen accessIn the keywordsInternet-Based Teleoperation of Carts Considering Effects of Time Delay via Continuous Pole PlacementTheophilus Okore-Hanson, Sun YiA new control design for teleoperation considering time delay is presented. Unlike existing methods for communication delays, the design presented here identifies and continuously moves the rightmost eigenvalues to desired positions. Signal transmission through the Internet using protocols (e.g., UDP) introduces time delays into the system. The time delays cause instability as the system is forced to make use of … …American Journal of Engineering and Applied Sciences, Vol. 10, Issue 2 · 3 Apr 2017 · 7,947 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSolute or Heat Transport in a Flat DuctElijah Johnson, Ayaovi D. Apeti, Sekeenia Haynes, Larry RobinsonSteady state solute and heat transfer for laminar flow in a flat duct has been widely studied[1-4]. The same problem in a circular tube is called the Graetz Problem[5,6]. The transfer rate of solute and heat from fluids is of importance in a number of processes, such as diffusion of drugs in the blood stream and the uptake of environmental … …American Journal of Environmental Sciences, Vol. 4, Issue 6 · 31 Dec 2008 · 6,392 accessesView PDFCite
Research ArticleOpen accessIn the keywordsFace Recognition using Eigenfaces and Neural NetworksMohamed Rizon, Muhammad Firdaus Hashim, Puteh Saad et al.In this study, we develop a computational model to identify the face of an unknown person’s by applying eigenfaces. The eigenfaces has been applied to extract the basic face of the human face images. The eigenfaces is then projecting onto human faces to identify unique features vectors. This significant features vector can be used to identify an unknown face by … …American Journal of Applied Sciences, Vol. 3, Issue 6 · 30 Jun 2006 · 6,940 accessesView PDFCite
Research ArticleOpen accessIn the keywordsInversion of Covariance Matrix for High Dimension DataSamruam ChongcharoenProblem statement: In the testing statistic problem for the mean vector of independent and identically distributed multivariate normal random vectors with unknown covariance matrix when the data has sample size less than the dimension n≤p, for example, the data came from DNA microarrays where a large number of gene expression levels are measured on relatively few subjects, the p×p sample … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 27 Jul 2011 · 7,869 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn the Probability Density Function of the Test Statistic for One Nonlinear GLR Detector Arising from fMRIFangyuan NanRecently an important and interesting nonlinear generalized likelihood ratio (GLR) detector emerged in functional magnetic resonance imaging (fMRI) data processing. However, the study of that detector is incomplete: the probability density function (pdf) of the test statistic was draw from numerical simulations without much theoretical support and is therefore, not firmly grounded. This correspondence presents more accurate (asymptotic) closed form … …Journal of Mathematics and Statistics, Vol. 3, Issue 2 · 30 Jun 2007 · 7,106 accessesView PDFCite
Research ArticleOpen accessIn the keywordsPredicting Insurance Investment: A Factor Analytic ApproachSamuel Obi-Nnamdi Agwuegbo, Adetunji Philip Adewole, A. N. MaduegbunaProblem statement: In the last decade growing attention has been paid to the pattern of investments by the insurance industry and the question of how to evaluate such investments. In an economy where the capital market is huge and active, mathematical considerations come into play in the selection of investments to ensure yield maximisation. Approach: This study examined the use … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,498 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAn Alternative Scaling Factor In Broyden's Class Methods for Unconstrained OptimizationMuhammad Fauzi bin Embong, Mustafa bin Mamat, Mohd Rivaie, Ismail bin MohdProblem statement: In order to calculate step size, a suitable line search method can be employed. As the step size usually not exact, the error is unavoidable, thus radically affect quasi-Newton method by as little as 0.1 percent of the step size error. Approach: A suitable scaling factor has to be introduced to overcome this inferiority. Self-scaling Variable Metric algorithms … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 2 Jun 2010 · 7,692 accessesView PDFCite