Mu Analysis and Synthesis Toolbox

Calculate the inverse of CONSTANT, SYSTEM, and VARYING matrices. (The matrices must be square.)

Syntax

• out = minv(mat) 
  out = vinv(mat)
  

Description
minv calculates the inverse of the input matrix. For VARYING matrices, minv returns a VARYING matrix with the inverse of each independent variable matrix. For SYSTEM matrices, the inverse is defined as

vinv is the same command as minv, but works only on CONSTANT and VARYING matrices.

Examples
Determine the inverse of a SYSTEM matrix and a VARYING matrix.

• sys = pck(-2,3,1,.1); 
  omega = [1 10]; 
  sysg = frsp(sys,omega); 
  sysi = minv(sys); 
  seesys(sysi)
  
  -3.2e+01  |   -3.0e+01
  ----------|-----------
  1.0e+01   |    1.0e+01
  
  sysig = frsp(sysi,omega); 
  see(sbs(sysg,sysig,minv(sysig)))
  1 row   3 columns
  iv =
  1.3000 - 0.6000i   0.6341 + 0.2927i   1.3000 - 0.6000i
  iv = 10
  0.1577 - 0.2885i   1.4591 + 2.6690i   0.1577 - 0.2885i
  

Algorithm
minv and vinv call the MATLAB inv command.

See Also
inv, vdet

minfo

mmult