Course Notes

Comparison of Laplace and Z-transform

Maple sheet in a zip archive TransferFunctionExample.mw.zip, TransferFunctionExample.pdf

Connection between Bode plot and Laplace transform

Bode.pdf

Study with Fourier series of three phase rectifier

Maple sheet in a zip archive trifase.mw.zip, trifase.pdf

Example of computation of exponential matrix

Maple sheet in a zip archive EserciziMatriceEsponenziale.mw.zip, EserciziMatriceEsponenziale.pdf

Computation of exponential matrix, many methods

Maple sheet in a zip archive EsponenzialeVariMetodi.mw.zip, EsponenzialeVariMetodi.pdf

A little tutorial on computing matrix exponential

Exponential.pdf

Example of Index 1 DAE

Maple sheet in a zip archive DAEIndex1Example.mw.zip, DAEIndex1Example.pdf

Example of DAE: Pendulum in cartesian coordinate

Maple sheet in a zip archive DAEPendoloTaylorNonStabilizzato.mw.zip, DAEPendoloTaylorNonStabilizzato.pdf

Maple sheet in a zip archive DAEPendoloTaylorStabilizzato.mw.zip, DAEPendoloTaylorStabilizzato.pdf

Maple sheet in a zip archive DAEPendoloRKStabilizzato.mw.zip, DAEPendoloRKStabilizzato.pdf

Maple sheet in a zip archive DAEPendoloRKStabilizzatoBis.mw.zip, DAEPendoloRKStabilizzatoBis.pdf

Example of MATLAB solver with implicit Euler for the Pendulum in cartesian coordinate

The finite difference are generated using MAPLE, the files are here:

EsempioRelazionePendolo.zip

Example of Brachiostocrone problem with indirect method

Maple sheet in a zip archive BrachiostosdcroneIndiretto.mw.zip, BrachiostosdcroneIndiretto.pdf