jacobian()#
- CubicOperator.jacobian(state, input_=None)[source]#
Construct the state Jacobian of the operator: \(\ddqhat\Ophat_{\ell}(\qhat,\u) = \Ghat[(\I_r\otimes\qhat\otimes\qhat) + (\qhat\otimes\I_r\otimes\qhat) + (\qhat\otimes\qhat\otimes\I_r)]\).
- Parameters
- state(r,) ndarray or None
State vector.
- input_(m,) ndarray or None
Input vector (not used).
- Returns
- jac(r, r) ndarray
State Jacobian \(\Ghat[(\I_r\otimes\qhat\otimes\qhat) + (\qhat\otimes\I_r\otimes\qhat) + (\qhat\otimes\qhat\otimes\I_r)]\).