control.matlab.initial(sys, T=None, X0=0.0, input=None, output=None, return_x=False)[source]

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)

  • 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

See also

lsim, step, impulse


>>> from control.matlab import initial, rss
>>> G = rss(4)
>>> yout, T = initial(G)