StateSpaceLinear state space system 
This information is part of the Modelica Standard Library maintained by the Modelica Association.
The State Space block defines the relation between the input u and the output y in state space form:
der(x) = A * x + B * u y = C * x + D * u
The input is a vector of length nu, the output is a vector of length ny and nx is the number of states. Accordingly
A has the dimension: A(nx,nx), B has the dimension: B(nx,nu), C has the dimension: C(ny,nx), D has the dimension: D(ny,nu)
Example:
parameter: A = [0.12, 2;3, 1.5] parameter: B = [2, 7;3, 1] parameter: C = [0.1, 2] parameter: D = zeros(ny,nu) results in the following equations: [der(x[1])] [0.12 2.00] [x[1]] [2.0 7.0] [u[1]] [ ] = [ ]*[ ] + [ ]*[ ] [der(x[2])] [3.00 1.50] [x[2]] [0.1 2.0] [u[2]] [x[1]] [u[1]] y[1] = [0.1 2.0] * [ ] + [0 0] * [ ] [x[2]] [u[2]]
nin 
Value: size(B, 2) Type: Integer Description: Number of inputs 

nout 
Value: size(C, 1) Type: Integer Description: Number of outputs 
A 
Value: [1, 0; 0, 1] Type: Real[:,size(A, 1)] Description: Matrix A of state space model (e.g., A=[1, 0; 0, 1]) 
B 
Value: [1; 1] Type: Real[size(A, 1),:] Description: Matrix B of state space model (e.g., B=[1; 1]) 
C 
Value: [1, 1] Type: Real[:,size(A, 1)] Description: Matrix C of state space model (e.g., C=[1, 1]) 
D 
Value: zeros(size(C, 1), size(B, 2)) Type: Real[size(C, 1),size(B, 2)] Description: Matrix D of state space model 
initType 
Value: Modelica.Blocks.Types.Init.NoInit Type: Init Description: Type of initialization (1: no init, 2: steady state, 3: initial state, 4: initial output) 
x_start 
Value: zeros(nx) Type: Real[nx] Description: Initial or guess values of states 
y_start 
Value: zeros(ny) Type: Real[ny] Description: Initial values of outputs (remaining states are in steady state if possible) 
x 
Type: Real[size(A, 1)] Description: State vector 

u 
Type: RealInput[nin] Description: Connector of Real input signals 


y 
Type: RealOutput[nout] Description: Connector of Real output signals 