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BUILT-IN MATHEMATICA SYMBOL
SystemsModelDelay ()
SystemsModelDelay[
]
represents a time delay of in a StateSpaceModel or TransferFunctionModel.
Details
- SystemsModelDelay[] makes it possible to represent systems involving time delays and efficiently manipulate, approximate, and simulate these systems.
- SystemsModelDelay[] is typeset in StandardForm as
and can be entered using EscdelayEsc. - For a StateSpaceModel, SystemsModelDelay[] can occur linearly in any of the system matrices. For a signal
, SystemsModelDelay[]w[t] is taken to be 
. - For a TransferFunctionModel, SystemsModelDelay[] can occur linearly in the coefficients of the polynomials. It is taken to represent a transformed time delay:
-
- sin a continuous-time system z- in a discrete-time system - Here, s is the Laplace-transform variable, and z is the z-transform variable.
- For discrete-time systems, the delay is taken to be a multiple of the SamplingPeriod.
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