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61 results for “M-singular”
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Research ArticleOpen accessEvery word in the titleUniversal Singular Optimal Control: Affine SystemsAndres Gabriel Garcia, Juan Andrés Roteta LannesIn this study, the problem of finding an optimal controller for nonlinear systems with one input and a reference tracking signal is approached. With the problem's formulation, any desired signal can be tracked instantly with a closed-loop controller without the need for integral terms. Presentation lies at the heart of optimal control. This study, however, does not consider the integral … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 4 · 14 Dec 2022 · 5,452 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSingularity Analysis of a Hybrid Serial-Cable Driven Planar RobotSamir Lahouar, Lotfi RomdhaneIn this study, we address the problem of singularities of a hybrid serial-cable driven planar robot. Based on an analytical kinetostatic analysis three types of singularities are determined, i.e., serial, parallel, and combined singularities. In addition, cable tensions should be positive, otherwise, the robot will be uncontrollable. The serial singularity corresponds to positions where the serial port of the robot … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 3 · 26 Sep 2022 · 5,604 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleProbabilistic Estimates of the Largest Strictly Convex Singular Values of Pregaussian Random MatricesYang LiuIn this study, the p-singular values of random matrices with Gaussian entries defined in terms of the lp-p-norm for p>1, as is studied. Mainly, using analytical techniques, we show the probabilistic estimate, precisely, the decay, on the upper tail probability of the largest strictly convex singular values, when the number of rows of the matrices becomes very large and the … …Journal of Mathematics and Statistics, Vol. 11, Issue 1 · 6 May 2015 · 6,887 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleQuadratic Approximation for Singular IntegralsMostefa NadirIn this study we present a new approach based on a quadratic approximation for singular integrals of Cauchy type, by using a small technical we arrive to eliminate completely the singularity of this integral. Noting that, this approximation is destined to solve numerically all singular integral equations with Cauchy kernel type on an oriented smooth contour. …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 4 Jul 2012 · 6,911 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleHalf-bounded Numerical Solution of Singular Integral Equations with Cauchy KernelM. Abdulkawi, Z. K. Eshkuvatov, N.M.A. Nik LongProblem statement: In this study, a numerical solution for singular integral equations of the first kind with Cauchy kernel over the finite segment [-1,1] is presented. The numerical solution is bounded at x =1 and unbounded at x = -1. Approach: The numerical solution is derived by approximating the unknown density function using the weighted Chebyshev polynomials of the fourth … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 25 Mar 2011 · 7,269 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleDesign of Robust Decentralized Control for UPFC Controller Based on Structured Singular ValueSeyed Abbas Taher, Shahabeddin Akbari, Ali Abdolalipour, Reza HemattiNew approach based on structured singular value (µ-synthesis) was proposed for the robust decentralized unified power flow controller (UPFC) design. To achieve decentralization, using the Schauder fixed point theorem the synthesis and analysis of multi-input multi-output (MIMO) control system translated into a set of equivalent multi-input single-output (MISO) control system. Power systems similar to other industrial plants contain different kinds … …American Journal of Applied Sciences, Vol. 5, Issue 10 · 31 Oct 2008 · 7,032 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Generalization of the Frobenius Method for Ordinary Differential Equations with Regular Singular PointsJung-Hua Chou, Raylin WuThe conventional Frobenius method for second order differential equations with regular singular points is extended to differential equations of higher and lower orders. The conditions of a point being regular singular are addressed. It is also shown that Cauchy-Euler differential equations are a special case of ordinary differential equations with regular singular points. …Journal of Mathematics and Statistics, Vol. 1, Issue 1 · 31 Mar 2005 · 7,540 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleNon-Singular Thermodynamic GravityPharis E. WilliamsNewton formed his laws of motion, but still had to assume a law of gravity in order to determine the motions of bodies interacting through gravitational forces. Newton gave a prescription of how to find the dynamics produced by gravity. Einstein sought to determine the motions of gravity without using a force. Rather, he sought a system of equations by … …Space Science International, Vol. 1, Issue 2 · 23 Dec 2013 · 7,651 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA New Perturbative Approach in Nonlinear Singularity AnalysisTat-Leung YeeProblem statement: The study is devoted to the “mirror” method which enables one to study the integrability of nonlinear differential equations. Approach: A perturbative extension of the mirror method is introduced. Results: The mirror system and its first perturbation are then utilized to gain insights into certain nonlinear equations possessing negative Fuchs indices, which were poorly understood in the literatures. … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 29 Jul 2011 · 7,331 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleCompressive Sensing Theory for Improving the Robustness and the Security of the Discrete Wavelet Transform-Singular Value Decomposition Watermarking SchemeRasha Shoitan, Sawsan Morkos GharghoryDigital watermarking has been suggested as a solution to protect copyright and ownership of digital images. The effective watermarking scheme should satisfy imperceptibility, robustness, capacity and security requirements. In this research, the security issue and the lack of reconstruction quality of the watermark logo of the integration of Discrete Wavelet Transform (DWT), Singular Value Decomposition (SVD) and Compressive Sensing (CS) … …Journal of Computer Science, Vol. 17, Issue 4 · 28 Apr 2021 · 6,599 accessesView PDFCite