# 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

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Create the transfer function model, 1/s.

`sys = tf(1,[1 0]);`

Specify a 2 second input delay, and a 1.5 second output delay.

```sys.InputDelay = 2; sys.Outputdelay = 1.5;```

Compute the combined input-output delay for `sys`.

`td = totaldelay(sys)`
```td = 3.5000 ```

The resulting transfer function has the following form:

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

This result is equivalent to specifying an input-output delay of 3.5 seconds for the original transfer function, 1/s.