State Space Systems Constructions

The commands in this section facilitate working with linear dynamic systems.

Most of the entries below require Mathematica's Control System Professional package available from Wolfram Research. To change the (commutative) standard Control System Professional Package for use with NCAlgebra first load in the Control System Professional and then simply load in the file NCControl.m

<< NCControl.m

The file

NC/NCAlgebra/NCControlSPDemo.nb

contains several examples which illustrate the use of CSP package with non commutative systems.

The linear system

$$\left[ \begin{array}{c\vert c} A & B \ \hline C & D \end{array} \right]$$

is written in Control/Mathematica notation as

StateSpace[ A, B, C, D].

where $A, B, C,$ and $D$ are matrices made up of symbolic noncommuting indeterminates. For example,

Series1 = StateSpace[ {{a}}, {{b}}, {{c}}, {{d}}]

or

Series1 = StateSpace[ {{a11, a12}, {a21,a22}}, {{b1}, {b2}}, {{c1, c2}}, {{d}}].