control.linfnorm

control.linfnorm(sys, tol=1e-10)[source]

L-infinity norm of a linear system.

Parameters
sysStateSpace or TransferFunction

System to evaluate L-infinity norm of.

tolreal scalar

Tolerance on norm estimate.

Returns
gpeaknon-negative scalar

L-infinity norm.

fpeaknon-negative scalar

Frequency, in rad/s, at which gpeak occurs.

See also

slycot.ab13dd

Notes

For stable systems, the L-infinity and H-infinity norms are equal; for unstable systems, the H-infinity norm is infinite, while the L-infinity norm is finite if the system has no poles on the imaginary axis.