System analysis

This book gives an introduction on the modelling of linear systems, on simulation methods for solving the related model equations and on visualization techniques for the interpretation of the frequency analysis using the computer program Maple: Starting with the modelling of electric circuits that consist of R- (Resistors), L- (Inductors) or C- (Capacitors) we introduce a description to model any kind of circuits that consist of as many elements as necessary. We continue with the modelling of the time behavior the electrical systems. This is done by the setup of ordinary differential equations. With the help of Maple we solve these differential equations numerically in order to get the impulse response. Finally, we analyze systems by means of the frequency analysis. Using mathematical algorithms like FFT we identify the frequency behavior of the systems. Once again by visualizing the results we identify the relationship between frequency analysis and system theory: impulse signal, impulse response, transfer function, and system function.