control.ctrb

control.ctrb(A, B)[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

Returns

C – Controllability matrix

Return type

2D array (or matrix)

Notes

The return type for 2D arrays depends on the default class set for state space operations. See use_numpy_matrix().

Examples

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