# initial

System response to initial states of state-space model

## Syntax

## Description

### Initial Response Plots

`initial(`

plots
the unforced system response to initial states of a state-space (`sys`

,`x0`

)`ss`

) model `sys`

with an initial condition on the states
specified by the vector `x0`

:

$$\begin{array}{cc}\dot{x}=Ax,& x(0)={x}_{0}\\ y=Cx& \end{array}$$

The state-space model `sys`

can be continuous-time or
discrete-time, and SISO or MIMO. For MIMO state-space systems, the plot displays the
responses for the outputs of each channel. `initial`

automatically
determines the time steps and duration of the simulation based on the system
dynamics.

### Initial Response Data

## Examples

## Input Arguments

## Output Arguments

## Version History

**Introduced before R2006a**

## See Also

`initialplot`

| `impulse`

| `lsim`

| Linear System Analyzer | `step `