initial(sys, T=None, X0=0.0, input=None, output=None, return_x=False)¶
Initial condition response of a linear system
If the system has multiple outputs (?IMO), optionally, one output may be selected. If no selection is made for the output, all outputs are given.
sys (StateSpace, or TransferFunction) – LTI system to simulate
T (array-like or number, optional) – Time vector, or simulation time duration if a number (time vector is autocomputed if not given)
X0 (array-like object or number, optional) –
Initial condition (default = 0)
Numbers are converted to constant arrays with the correct shape.
input (int) – This input is ignored, but present for compatibility with step and impulse.
output (int) – If given, index of the output that is returned by this simulation.
yout (array) – Response of the system
T (array) – Time values of the output
xout (array (if selected)) – Individual response of each x variable
>>> yout, T = initial(sys, T, X0)