scipy.signal.lsim

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

Simulate output of a continuous-time linear system.

Inputs:

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 – 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 – the time steps at which the input is defined and at which

the output is desired.

X0 – (optional, default=0) the initial conditions on the state vector. interp – linear (1) or zero-order hold (0) interpolation

Outputs: (T, yout, xout)

T – the time values for the output. yout – the response of the system. xout – the time-evolution of the state-vector.