cupyx.scipy.signal.lsim(system, U, T, X0=None, interp=True)[source]#

Simulate output of a continuous-time linear system.

  • 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:

    • 1: (instance of lti)

    • 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. If U = 0 or None, a zero input is used.

  • T (array_like) – The time steps at which the input is defined and at which the output is desired. Must be nonnegative, increasing, and equally spaced

  • X0 (array_like, optional) – The initial conditions on the state vector (zero by default).

  • interp (bool, optional) – Whether to use linear (True, the default) or zero-order-hold (False) interpolation for the input array.


  • T (1D ndarray) – Time values for the output.

  • yout (1D ndarray) – System response.

  • xout (ndarray) – Time evolution of the state vector.


If (num, den) is passed in for system, coefficients for both the numerator and denominator should be specified in descending exponent order (e.g. s^2 + 3s + 5 would be represented as [1, 3, 5]).