File: balreal.cat

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balreal(1)                     Scilab Function                     balreal(1)
NAME
  balreal - balanced realization

CALLING SEQUENCE
  [slb [,U] ] = balreal(sl)

PARAMETERS

  sl,slb
       : linear systems (syslin lists)

DESCRIPTION
  Balanced realization of linear system sl=[A,B,C,D]. sl can be a
  continuous-time or discrete-time state-space system. sl is assumed stable.
  slb=[inv(U)*A*U ,inv(U)*B , C*U , D]
  is the balanced realization.

  slb is returned as a syslin list.

EXAMPLE
  A=diag([-1,-2,-3,-4,-5]);B=rand(5,2);C=rand(1,5);
  sl=syslin('c',A,B,C);
  [slb,U]=balreal(sl);
  Wc=clean(ctr_gram(slb))
  W0=clean(obs_gram(slb))

SEE ALSO
  ctr_gram, obs_gram, hankelsv, equil, equil1