Lyapunov Equation Observability

Available identifiers

Lyapunov equation used in the stability analysis of linear dynamical systems to determine the observability

For the solvability of ordinary Lyapunov equations, the stability condition for A is the only requirement.

Defining Formula: $A^{} W_{o} + W_{o} A + C^{} C = 0$
$A$ symbol represents Control System Matrix A
$C$ symbol represents Control System Matrix C
$W_{o}$ symbol represents Observability Gramian