To download the application in .pdf format , click here . It defines a system as a relation between the signals that constitute the environment of the system.
Polynomial matrices play an important role in the behavioral theory of linear systems.
The purpose of this demo is to show that the Polynomial Toolbox provides many useful routines for dealing with problems and questions in behavioral linear system theory. By way of illustration we consider the simple electrical network of Fig. 1. The signals of interest are the currents , and through the resistor, inductor and capacitor, respectively, the voltages , and across these same network elements, the current that flows into the network, and the voltage across the network. Such a characterization is typically obtained when setting up the system equations from first principles. For the electrical network the latent variables and the manifest variables w could be chosen as If the latent variables are eliminated from the behavior then the manifest behavior is obtained.