Solving the Brachistochrone Problem using Pontryagin’s Method and the GNU Octave Tool . 1. Introduction . 1.1. The Brachistochrone Problem Let’s consider the Brachistochrone Problem. This is one of the first variational problems proposed and solved by Johann Bernoulli in… Read More
Solving the Brachistochrone Problem using Dynamic Programming and the GNU Octave Tool . 1. Abbreviation The functional: Euler–Lagrange equations: . 2. Introduction A functional is an operator that displays (calculates) a number for each function y(x). In this article I… Read More
Monte Carlo Method Using Octave GNU Tool 1. Abbreviation 2. Introduction The Monte Carlo method is a numerical method for solving mathematical problems by modeling random variables using pseudo random numbers. I used the Octave Tool for my calculations. See… Read More
Bose–Chaudhuri–Hocquenghem (BCH) code: (15, 5, 7) and C Implementation Using the Octave GNU Tool 1. Abbreviation 2. Introduction This article is a continuation of the article: “Hamming Code and C Implementation Using the Octave GNU Tool” and “Hadamard Codes and… Read More
Hadamard Codes and C Implementation Using the Octave GNU Tool 1. Abbreviation 2. Introduction This article is a continuation of the article: “Hamming Codes and C Implementation Using the Octave GNU Tool”. Hamming codes, despite their elegance, can only fix… Read More
Hamming Codes and C Implementation Using the Octave GNU Tool 1. Abbreviation 2. Introduction It is necessary often to ensure reliable data transmission or storage in Digital Signal Processing applications. Data will be understood messages (code words) containing zeros (0)… Read More
Digital Integrators with an Examples. C Code and Octave Script 1. Abbreviation 2. Introduction It follows from (2) that the transfer function of the analog ideal integrator: or in the frequency space of (7), (10): Then the magnitude… Read More
Modal Synthesis Method for Control Systems with an Example. C Code and Octave Script 1. Abbreviation 2. Introduction The modal synthesis method is based on the selection of suitable roots of a characteristic linear differential equation for a closed loop… Read More
Control of Non Linear Object Using the Vostrikov’s Localization Method. C Code and Octave Script 1. Abbreviation 2. Introduction This article is a continuation of the article “Control System Using the Localization Method from A. S. Vostrikov. C Code and… Read More
Typical Open Loop Bode Diagram for Control Systems. C Code and Octave Script 1. Abbreviation 2. Introduction Most linear control systems can be represented in the following form: Figure 2-1: Analog Control System Then the open-loop transfer function… Read More