# .Modelica_LinearSystems2.DiscreteStateSpace.initialResponse

## Information

#### Syntax

```    (y) = DiscreteStateSpace.initialResponse(dss, x0, samples)
or
(y, xc) = DiscreteStateSpace.initialResponse(dss, x0, samples)
```

#### Description

Function DiscreteStateSpace.initialResponse calculates the initial response to Default of initial state x0 of a discrete state space system. Input sample is the number of samples. Sample time is the sample time of the discrete state space system.

#### Example

```  import dss=Modelica_LinearSystems2.DiscreteStateSpace;
import Modelica_LinearSystems2.StateSpace;
StateSpace ss=Modelica_LinearSystems2.StateSpace(
A=[-1],
B=[1],
C=[2],
D=[0]);
Real Ts=0.1;
dss=dss(ss,Ts);
Real x0[1]={1};

Real y[:,:]=dss.initialResponse(dss,x0,50);

//  y=[2, 1.8095, 1.6372,..., 0.01812, 0.01639, 0.01483]
```

#### Interface

```encapsulated function initialResponse
import Modelica;
import Modelica_LinearSystems2;
import Modelica_LinearSystems2.DiscreteStateSpace;
input DiscreteStateSpace dss "Linear system in discrete state space form";
input Real x0[size(dss.A, 1)] = zeros(size(dss.A, 1)) "Initial system state";
input Integer samples "Number of samples";
output Real y[samples, size(dss.C, 1)] "System response (dimension: (input samples) x (number of outputs))";
output Real x_continuous[samples, size(dss.A, 1)] "State trajectories (dimension: (input samples) x (number of states)";
end initialResponse;
```

## Revisions

Date Author Comment
2010-05-31 Marcus Baur, DLR-RM Realization

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