control.matlab.ctrb

control.matlab.ctrb(A, B, t=None)[source]

Controllabilty matrix.

Parameters

A (array_like or string) – Dynamics and input matrix of the system
B (array_like or string) – Dynamics and input matrix of the system
t (None or integer) – maximum time horizon of the controllability matrix, max = A.shape[0]

Returns

C – Controllability matrix

Return type

2D array (or matrix)

Examples

>>> G = ct.tf2ss([1], [1, 2, 3])
>>> C = ct.ctrb(G.A, G.B)
>>> np.linalg.matrix_rank(C)
np.int64(2)