Creating and Manipulating Models

Inversion and Related Operations

Inversion of LTI models amounts to inverting the following input/output relationship.

This operation is defined only for square systems (that is, systems with as many inputs as outputs) and is performed using

• inv(sys)
  

The resulting inverse model is of the same type as sys. Related operations include:

• Left division sys1\sys2, which is equivalent to inv(sys1)*sys2
• Right division sys1/sys2, which is equivalent to sys1*inv(sys2)

For a state-space model sys with data , inv(sys) is defined only when is a square invertible matrix, in which case its state-space data is

Multiplication

Transposition