# Documentation

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# totaldelay

Total combined I/O delays for LTI model

## Syntax

`td = totaldelay(sys) `

## Description

`td = totaldelay(sys) ` returns the total combined I/O delays for an LTI model `sys`. The matrix `td` combines contributions from the `InputDelay`, `OutputDelay`, and `ioDelayMatrix` properties.

Delays are expressed in seconds for continuous-time models, and as integer multiples of the sample period for discrete-time models. To obtain the delay times in seconds, multiply `td` by the sample time `sys.Ts`.

## Examples

```sys = tf(1,[1 0]); % TF of 1/s sys.inputd = 2; % 2 sec input delay sys.outputd = 1.5; % 1.5 sec output delay td = totaldelay(sys) td = 3.5000 ```

The resulting I/O map is

`${e}^{-2s}×\frac{1}{s}{e}^{-1.5s}={e}^{-3.5s}\frac{1}{s}$`

This is equivalent to assigning an I/O delay of 3.5 seconds to the original model `sys`.