zpk2ss Zero pole gain to state space

## Syntax

    S = zpk2ss(sys)

## Arguments

sys

  A linear dynamical system in zero-pole-gain representation (see zpk).

S

  The state space representation of sys.

## Description

Converts a zero pole gain representation to state space.

## Examples

    sys = zpk([2;1], [0;-3-%i;-3+%i], 2.5, "c")
    typeof(sys)

    S = zpk2ss(sys)
    typeof(S)

    --> sys = zpk([2;1], [0;-3-%i;-3+%i], 2.5, "c")
     sys  =
            (s-2) (s-1)
       2.5 -------------
           s (s^2+6s+10)

    --> typeof(sys)
     ans  =
      "zpk"

    --> S = zpk2ss(sys)
     S  =

     S(1)  (state-space system:)

      "lss"  "A"  "B"  "C"  "D"  "X0"  "dt"

     S(2)= A matrix =
       0.   1.         -0.3162278
       0.  -6.         -3.1622777
       0.   3.1622777   0.

     S(3)= B matrix =
       0.
       1.
       0.

     S(4)= C matrix =
      -5.   2.5  -0.7905694

     S(5)= D matrix =
       0.

     S(6)= X0 (initial state) =
       0.
       0.
       0.

     S(7)= Time domain =
      "c"

    --> typeof(S)
     ans  =
      "state-space"

## See Also

- zp2ss
- zpk2tf

## History

6.0

Function added.