A toolbox for the analysis of linear systems with delays

This paper considers linear time varying control systems with delays. Roughly speaking, a so called π-flat output of such a system, if it exists, allows to parameterize the states and inputs of the system using derivatives and delays of the π-flat output. Additionally, also predictions of the π-flat output are allowed, which are characterized by a prediction operator π. We present a toolbox for the computer algebra system Maple, which implements the algorithm recently been proposed in [1] for the computation of π-flat outputputs. We also give an equivalent description of hyper-regularity of polynomial matrices using one-sided inverses. This allowed us to replace the transformation to Smith-Jacobson form by the efficient method of row-/column-reduction for checking hyper-regularity. The implementation of the toolbox is illustrated and its application is explained by means of examples.