dsimul state space discrete time simulation

## Syntax

    y = dsimul(sl, u)

## Arguments

sl

  `syslin` list describing a discrete time linear system

u

  real matrix of appropriate dimension

y

  output of `sl`

## Description

Utility function. If `[A,B,C,D]=abcd(sl)` and `x0=sl('X0')`, `dsimul` returns `y=C*ltitr(A,B,u,x0)+D*u` i.e. the time response of `sl` to the input `u`. `sl` is assumed to be in state space form (`syslin` list).

## Examples

    z=poly(0,'z');
    h=(1-2*z)/(z^2-0.2*z+1);
    sl=tf2ss(h);
    u=zeros(1,20);u(1)=1;
    x1=dsimul(sl,u)   //Impulse response
    u=ones(1,20);
    x2=dsimul(sl,u);  //Step response

## See also

- syslin
- flts
- ltitr