Please note that the recommended version of Scilab is 2023.1.0. This page might be outdated.
See the recommended documentation of this function
[x, freq] = linfn(G, PREC, RELTOL, options)
desired relative accuracy on the norm
relative threshold to decide when an eigenvalue can be considered on the imaginary axis.
available options are
is the computed norm.
Computes the Linf (or Hinf) norm of
This norm is well-defined as soon as the realization
G=(A,B,C,D) has no imaginary eigenvalue which is both
controllable and observable.
freq is a list of the frequencies for which
attained,i.e., such that
||G (j om)|| = ||G||.
If -1 is in the list, the norm is attained at infinity.
If -2 is in the list,
G is all-pass in some direction so that
||G (j omega)|| = ||G|| for all frequencies omega.
The algorithm follows the paper by G. Robel
(AC-34 pp. 882-884, 1989).
D=0 is not treated separately due to superior
accuracy of the general method when
(A,B,C) is nearly
'trace' option traces each bisection step, i.e., displays
the lower and upper bounds and the current test point.
'cond' option estimates a confidence index on the computed
value and issues a warning if computations are
In the general case (
A neither stable nor anti-stable),
no upper bound is prespecified.
If by contrast
A is stable or anti stable, lower
and upper bounds are computed using the associated
- h_norm — H-infinity norm
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