Control System Toolbox™

lti/exp - Create pure continuous-time delays

Syntax

d = exp(tau, s)

creates pure continuous-time delays. The transfer function of a pure delay tau is

       d(s) = exp(-tau*s)

You can specify this transfer function using exp.

s = zpk('s')
d = exp(-tau*s)

More generally, given a 2D array M,

s = zpk('s')
D = exp(-M*s)

creates an array D of pure delays where

D(i,j) = exp(-M(i,j)*s)

All entries of M should be non negative for causality.