394 APPENDICES
Subblocks: selecting input & outputs
In µ-Tools the function sel selects rows and columns from a varyi ng matrix or inputs
and outputs from a system matrix. In Xmath these can b e obtained by specifying row
and column indexes. More flexibility of selecting parts of a pdm can be obtained by
using the indexlist function.
Augmentation
Augmentation is the building of matrices from component pieces. The µ-Tools
commands which perform these functions are given in the table below. For pdmsor
Dynamic Systems in Xmath these operations are generally performed identically to
the equivalentmatrix operation.
Description µ-Tools Function Xmath/Xµequivalent
vertical augmentation abv ;
horizontalaugmentation sbs ,
diagonal augmentation daug daug
Algebraic Operations
Similarly,algebraic operations on system or va rying matrices in µ-Tools require a
dedicated function. In the Xmath case the usual matrix operation suffices.
Description µ-Tools Function Xmath/Xµequivalent
addition madd +
subtraction msub -
multiplication mmult *
system scaling mscl *
system scaling sclin *
system scaling sclout *
system inverse minv inv
transpose transp ’
conjugate transpose cjt *’