lyap (Control Design and Simulation Module, MathScript Function)
Member of the cdsolvers class.
Syntax
X = lyap(A, Q)
X = lyap(A, B, Q)
Description
Calculates the matrix X that solves the general form of the following Lyapunov equation:
AX+XB = -Q.
Inputs
| Name | Description |
| A | Specifies an n x n state matrix, where n is the number of states. The default is an empty matrix. A is a real matrix. |
| B | Specifies an n x m input matrix, where m is the number of inputs. The default is A'. B is a real matrix. |
| Q | Specifies a real matrix. |
Outputs
| Name | Description |
| X | Returns the solution to the continuous Lyapunov equation. X is a real matrix. |
Examples
A = [1, 1; 0, 2]
Q = [2, 0; 0, 2]
X = lyap(A, Q)