Lyapunov Equation Controllability

Available identifiers

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

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

Defining Formula: $A W_{c} + W_{c} A^{} + B B^{} = 0$
$A$ symbol represents Control System Matrix A
$B$ symbol represents Control System Matrix B
$W_{c}$ symbol represents Controllability Gramian