4 episódios

These videos look at the responses primarily of 1st and 2nd order systems. There is also some discussion of the use of Laplace tools for deriving system responses and, in support of this, some background work on skills needed to do inverse Laplace. The videos are reinforced with demonstrations of how MATLAB tools can be used to support response analysis.

# Linear System Response and analysis - Laplace Transformations Sheffield University

• Tecnologia

These videos look at the responses primarily of 1st and 2nd order systems. There is also some discussion of the use of Laplace tools for deriving system responses and, in support of this, some background work on skills needed to do inverse Laplace. The videos are reinforced with demonstrations of how MATLAB tools can be used to support response analysis.

• video
Laplace 1- introduction and basic functions

## Laplace 1- introduction and basic functions

Gives the definition for a Laplace transform and from there derives the transforms for exponentials, steps and simple power functions.

• 13 min
• video
Laplace 2 - sinusoids and shift rule

## Laplace 2 - sinusoids and shift rule

Extends video 1 by introducing sinusoidal signals and the shift theorem, thus also considering sinusoids scaled by an exponential.

• 13 min
• video
Laplace 3 - derivatives

## Laplace 3 - derivatives

Shows have the definition of Laplace leads to the transform for an nth order derivative and thus how one can apply Laplace to determine the solution for differential equations.

• 15 min
• video
Laplace 4 - miscellaneous useful topics

## Laplace 4 - miscellaneous useful topics

Covers some topics that may be useful from time to time such as the Lplace of an integral, a delayed signal and impulse function. Also summarises content from 1st 4 videos.

• 10 min