control.matlab.lyap¶
- control.matlab.lyap(A, Q, C=None, E=None)¶
X = lyap(A, Q) solves the continuous-time Lyapunov equation
where A and Q are square matrices of the same dimension. Further, Q must be symmetric.
X = lyap(A, Q, C) solves the Sylvester equation
where A and Q are square matrices.
X = lyap(A, Q, None, E) solves the generalized continuous-time Lyapunov equation
where Q is a symmetric matrix and A, Q and E are square matrices of the same dimension.
- Parameters
A (2D array) – Dynamics matrix
C (2D array, optional) – If present, solve the Slyvester equation
E (2D array, optional) – If present, solve the generalized Laypunov equation
- Returns
Q – Solution to the Lyapunov or Sylvester equation
- 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()
.