- Function File:
**lsim***(*`sys`,`u`) - Function File:
**lsim***(*`sys1`,`sys2`, …,`sysN`,`u`) - Function File:
**lsim***(*`sys1`,`'style1'`, …,`sysN`,`'styleN'`,`u`) - Function File:
**lsim***(*`sys1`, …,`u`,`t`) - Function File:
**lsim***(*`sys1`, …,`u`,`t`,`x0`) - Function File:
*[*`y`,`t`,`x`] =**lsim***(*`sys`,`u`) - Function File:
*[*`y`,`t`,`x`] =**lsim***(*`sys`,`u`,`t`) - Function File:
*[*`y`,`t`,`x`] =**lsim***(*`sys`,`u`,`t`,`x0`) Simulate LTI model response to arbitrary inputs. If no output arguments are given, the system response is plotted on the screen.

**Inputs**`sys`LTI model. System must be proper, i.e. it must not have more zeros than poles.

`u`Vector or array of input signal. Needs

`length(t)`

rows and as many columns as there are inputs. If`sys`is a single-input system, row vectors`u`of length`length(t)`

are accepted as well.`t`Time vector. Should be evenly spaced. If

`sys`is a continuous-time system and`t`is a real scalar,`sys`is discretized with sampling time`tsam = t/(rows(u)-1)`

. If`sys`is a discrete-time system and`t`is not specified, vector`t`is assumed to be`0 : tsam : tsam*(rows(u)-1)`

.`x0`Vector of initial conditions for each state. If not specified, a zero vector is assumed.

`’style’`Line style and color, e.g. ’r’ for a solid red line or ’-.k’ for a dash-dotted black line. See

`help plot`

for details.

**Outputs**`y`Output response array. Has as many rows as time samples (length of t) and as many columns as outputs.

`t`Time row vector. It is always evenly spaced.

`x`State trajectories array. Has

`length (t)`

rows and as many columns as states.

**See also:**impulse, initial, step.

Package: control