control.matlab.initial

control.matlab.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.

Parameters:

sysStateSpace or TransferFunction

LTI system to simulate.

Tarray_like or number, optional

Time vector, or simulation time duration if a number (time vector is autocomputed if not given).

X0array_like object or number, optional

Initial condition (default = 0).

inputint

This input is ignored, but present for compatibility with step and impulse.

outputint

If given, index of the output that is returned by this simulation.

return_xbool, optional

If True, return the state vector in addition to outputs.

Returns:

youtarray

Response of the system.

Tarray

Time values of the output.

xoutarray (if selected)

Individual response of each x variable.

See also

lsim, step, impulse

Examples

>>> from control.matlab import initial, rss

>>> G = rss(4)
>>> yout, T = initial(G)