minreal

minimal balanced realization

Calling Sequence

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