File: minreal.cat

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minreal(1)                     Scilab Function                     minreal(1)
NAME
  minreal - minimal balanced realization

CALLING SEQUENCE
  slb=minreal(sl [,tol])

PARAMETERS

  sl,slb         : syslin lists

  tol       : real (threshold)

DESCRIPTION
  [ae,be,ce]=minreal(a,b,c,domain [,tol]) returns the balanced realization of
  linear system sl (syslin list).

  sl is assumed stable.

  tol threshold used in equil1.

EXAMPLE
  A=[-eye(2,2),rand(2,2);zeros(2,2),-2*eye(2,2)];
  B=[rand(2,2);zeros(2,2)];C=rand(2,4);
  sl=syslin('c',A,B,C);
  slb=minreal(sl);
  ss2tf(sl)
  ss2tf(slb)
  ctr_gram(sl)
  clean(ctr_gram(slb))
  clean(obs_gram(slb))

SEE ALSO
  minss, balreal, arhnk, equil, equil1

AUTHOR
  S. Steer INRIA 1987