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minreal

minimal balanced realization

Syntax

slb = minreal(sl)
slb = minreal(sl, tol)

Arguments

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.

Examples

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 — minimal realization
  • balreal — balanced realization
  • arhnk — Hankel norm approximant
  • equil — balancing of pair of symmetric matrices
  • equil1 — balancing (nonnegative) pair of matrices
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Last updated:
Mon May 22 12:42:13 CEST 2023