# dss2ss

Converts a descriptor state-space system into regular state-space form.

## Syntax

[AR, BR, CR, DR, ER] = dss2ss(SYSLTI)

[AR, BR, CR, DR, ER] = dss2ss(A, B, C, D, E)

## Inputs

SYSLTI
Continuous-time state-space model.
A
The state matrix (n x n), where n is the number of states.
B
The input matrix (n x p), where p is the number of inputs.
C
The output matrix (q x n), where q is the number of outputs.
D
The direct transmission matrix (q x p).
E (Optional)
The descriptor matrix (n by n).

## Outputs

AR
The state matrix (n x n), where n is the number of states.
BR
The input matrix (n x p), where p is the number of inputs.
CR
The output matrix (q x n), where q is the number of outputs.
DR
The direct transmission matrix (q x p).
ER
The state matrix (n x n), where n is the number of states.

## Example

Example including the function dss2ss:
A = [-1.0000  -4.0000;
-4.0000  -1.0000];

B = [ 2.8284   0.0000;
0.0000  -2.8284];

C = [ 0.0000   2.8284;
-2.8284   0.0000];

D = [-1.0000   0.0000;
0.0000  -3.0000];

E = [ 1 0;
0 1];

sysLTI = dss(A, B, C, D, E)

[Aout, Bout, Cout, Dout, Eout] = dss2ss(sysLTI)
Aout = [Matrix] 2 x 2
-1  -4
-4  -1
Bout = [Matrix] 2 x 2
2.82840   0.00000
0.00000  -2.82840
Cout = [Matrix] 2 x 2
0.00000  2.82840
-2.82840  0.00000
Dout = [Matrix] 2 x 2
-1   0
0  -3
Eout = [Matrix] 0 x 0

## Comments

Converts a descriptor state-space system into a regular state-space form. Based on the SLICOT library function sb10jd.