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# scipy.signal.lsim

`scipy.signal.``lsim`(system, U, T, X0=None, interp=1)

  Simulate output of a continuous-time linear system.

  Parameters : | system : an instance of the LTI class or a tuple describing the system. The following gives the number of elements in the tuple and the interpretation: 2: (num, den) 3: (zeros, poles, gain) 4: (A, B, C, D) U : array_like An input array describing the input at each time T (interpolation is assumed between given times). If there are multiple inputs, then each column of the rank-2 array represents an input. T : array_like The time steps at which the input is defined and at which the output is desired. X0 : : The initial conditions on the state vector (zero by default). interp : {1, 0} Whether to use linear (1) or zero-order hold (0) interpolation.
  Returns : | T : 1D ndarray Time values for the output. yout : 1D ndarray System response. xout : ndarray Time-evolution of the state-vector.

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