Sylvester Generalized Controllability

Available identifiers

MaRDI QIDQ6674376

generalized Sylvester equation for the controllability of a bi-linear control system

Description

Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the generalized Lyapunov equations for the calculations of generalized Gramians.

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Defining Formula: $AX+X{\tilde{A}}^{*}+\sum _k{N}_{k}X{\tilde{N}}_k^{*}+B{\tilde{B}}^{*}=0$

$A$ symbol represents Control System Matrix A (Reduced)

$B$ symbol represents Control System Matrix B (Reduced)

$N$ symbol represents Control System Matrix N (Reduced)

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