Negative Fractional Exponents

Solution of Fractional Optimal Control Problems using Rational Approximation[1] C. Tricaud and Y.Q. Chen: Solving Fractional Order Optimal Control Problems in RIOTS_95 - A General-Purpose Optimal Control Problem Solver, Proceedings of the 3rd IFAC Workshop on Fractional Differentiation and its...

This m-file gives the expansion of powers of sums of any real or complex numbers x and y, and any negative integer n. In 1676 Newton showed that the binomial theorem also holds for negative integers n, which is the so-called negative binomial series and converges for |x| < y. From this emerges...

This m-file produces random numbers from the negative Binomial distribution using one of four methods and it tests which is faster.


Platforms: Matlab

A new general IIR type digital fractional-order differentiator and integrator based on power series expansion of the trapezoidal (Tustin) rule.For more details and help write:>> help dfod3See also my previous digital fractional-order differentiators and...


Platforms: Matlab

These functions calculate fractional or complex order derivatives, when the order changes with time. Riemann-Liouville, Caputo and GrdoDsnwald-Letnikoff definitions are provided; the three variations considered by Lorenzo and Hartley are considered. Fuzzy supervised implementations in Simulink,...


Platforms: Matlab

This image filter application has the following features: - Convert from color to black & white - Emboss & Debose - Engrave - Drop Shadow - Blur - Glow - Outline - Sharpness - Negative


Platforms: Windows, Mac, Other, Pocket PC, Android, BlackBerry, iPhone, iPod, iTouch, Palm

If the input is a bandlimited signal containing components at DC - 0.5Fs where Fs is the sample rate, SINCRESAMPLE will return the signal that would have been seen with a higher sampling rate (and the same filter settings). The algorithm depends on the fact that the bandlimited signal is...


Platforms: Matlab

[psi gopt] = dfdesign_w(phi, w, d);DFDESIGN_W computes the H-infinity optimal inverse filter of a given filter phi(z).The resulting filter psi(z) minimizes the H-infinity norm of the error systemE_w(z) = [z^(-d) - psi(z)phi(z)]w(z).If an error occurs, use "dfdesign_w_lmi.m".[INPUT]phi: target...


Platforms: Matlab

Cauchy cdf, pdf, inverse cdf, parameter fit, and random generator.Implementation package of the Cauchy distribution.cauchycdf: Cauchy cumulative distribution function (cdf).cauchyfit: Parameter estimation for Cauchy data.cauchyinv: Inverse of the Cauchy cumulative distribution function...


Platforms: Matlab

Several functions for evaluating the exact negative log-likelihood of ARMA models in O(n) time using the Kalman Filter.


Platforms: Matlab

This function solves the linear fractional-order differential equations (FODE) with constant coefficients. The short memory principle has not neen used here, so the length of input signal is limited to few hundred samples. The parameters of the FODE (in its standard form) are the inputs of this...


Platforms: Matlab

The model simulates asymmetric modulation which can be observed at second scope by zooming the waveform on time axis. In this modulation technique the reference signal is sampled at positive as well as at negative peak of the carrier and held constant between two sampled points. Three phase...


Platforms: Matlab

Converts normally distributed z-statistic to one- or two-tailed p-valueby integrating the standard normal pdf. If no "tails" value is specified, z2p computes the two-tailed value by default. The output p is the same size as z, which can be a scalar, vector, or matrix. Inputs:z: normally...


Platforms: Matlab

This submission contains the basic functions that are necessary for using the matrix approach to discretization of fractional differential equations, and demos. The method is described in the following articles:[1] I. Podlubny, "Matrix approach to discrete fractional calculus", Fractional...


Platforms: Matlab

UNIQUETOL Unique element within a tolerance.[Y,I,J] = UNIQUETOL(X,TOL) is very similar to UNIQUE, but allows an additional tolerance input, TOL. TOL can be taken as the total absolute difference between similar elements. TOL must be a none negative scalar. If not provided, TOL is assumed to be 0,...


Platforms: Matlab

The goal of this project is to create a lightweight PHP-Based graphing library that creates slick graphs for incorporation into a website or application. PHPGraphLib is free to use, as long as you agree to the usage policy.PHPGraphLib is a PHP 4.3 friendly object-oriented class that has powerful...


Platforms: PHP

AvantLink Related Products is a tool for connecting WordPress and an Avantlink Affiliate account. Given a set of site-wide or post-specific keywords, this plugin executes an AvantLink Product Search query and creates a widget of related products for display. In addition to providing site-wide or...


Platforms: PHP

OpenDover is a sophisticated webservice that allows for next-gen semantic features within your blog, content management system, website or application. With the OpenDover service you can emotion-tag texts, comments, or anything else you like within your website.For example you can send a product...


Platforms: PHP

Digital version of Fractional-Order PID Controller (DFOC) of the form:C(s) = K + Ti/s^m + Td*s^d for given sampling period Ts [sec].For more details and help write:>> help DFOC


Platforms: Matlab

This toolbox contains the functions which can be used to simulate some of the well-known fractional order chaotic systems, such as:- Chen's system,- Arneodo's system,- Genesio-Tesi's system,- Lorenz's system,- Newton-Leipnik's system,- Rossler's system,- Lotka-Volterra system,- Duffing's system,-...


Platforms: Matlab