Mathematica provides a very convenient and natural way to create and manipulate continuous- and discrete-time models of scalar and multivariable systems using data objects. These objects contain all the information of a model, are freely convertible from one to another, can be readily passed from one function to another, and are typeset in the notebook interface in a traditional form, thus providing a very streamlined and efficient workflow. The representation of control systems in Mathematica makes full use of its unique symbolic architecture, providing closed-form answers where traditional systems are limited to numerical solutions. Numerical methods are implemented using modern high-performance and high-precision algorithms.
TransferFunctionModel — transfer-function model
StateSpaceModel — state-space model
TransferFunctionExpand — expand numerators and denominators of a transfer function
TransferFunctionFactor — factor numerators and denominators of a transfer function
ToContinuousTimeModel — gives the continuous-time approximation of a model
ToDiscreteTimeModel — gives the discrete-time approximation of a model