Mu Analysis and Synthesis Toolbox

Generate a random complex CONSTANT, SYSTEM or VARYING matrix

Syntax

• out = crand(n,m) 
  out = crandn(n,m) 
  sys = sysrand(nstates,ninputs,noutputs,stabflag) 
  vary = varyrand(rdim,cdim,nindv,ivflg)
  

Description
crand and crandn generate random complex matrices of dimensions n x m, using the MATLAB rand and randn commands, respectively. crand elements are uniformly distributed and crandn elements are normally distributed.

Inputs to crand and crandn:

n	number of rows of the output matrix
m	number of columns of the output matrix

Output from crand and crandn:

out	an n x m complex matrix of random elements

sysrand generates a random SYSTEM matrix with nstates states, ninputs inputs, and noutputs outputs. Setting the stabflag to 1 will result in a stable, random SYSTEM. The default for stabflag is 0.

varyrand creates a random VARYING matrix with a specified number of rows (rdim), columns (cdim), and independent variable values (nindv). The optional argument ivflg sorts the independent variables to be monotonically increasing if it is set to 0 (default). Otherwise, if ivflg is set to a nonzero value, no sorting is done.

Examples
Create a CONSTANT, complex random matrix and a random SYSTEM matrix using the commands crand and sysrand

• crand(4,3)
  ans =
  0.4764 + 0.1622i     0.9017 + 0.1351i     0.4103 + 0.4523i
  0.3893 + 0.0711i     0.4265 + 0.7832i     0.1312 + 0.8089i
  0.2033 + 0.3653i     0.1420 + 0.4553i     0.8856 + 0.9317i
  0.0284 + 0.2531i     0.9475 + 0.3495i     0.0922 + 0.6516i
  
  sys=sysrand(2,4,1);
  seesys(sys)
  0.2190    0.6789  |   0.9347    0.5194    0.0346    0.5297
  0.0470    0.6793  |   0.3835    0.8310    0.0535    0.6711
  ------------------|----------------------------------------
  0.0077    0.3834  |   0.0668    0.4175    0.6868    0.5890
  
  

See Also
minfo, pck, pss2sys, rand, randel, sys2pss, unpck, vpck, vunpck

cos_tr, sin_tr, step_tr

csord