Sylvester Generalized Observability

Available identifiers

MaRDI QIDQ6674377

generalized Sylvester equation for the observability 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. However, note the sign change in the CC term.

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Defining Formula: $\tilde{A}Y+Y{A}^{*}+\sum _k{\tilde{N}}_{k}Y{N}_k^{*}-C{\tilde{C}}^{*}=0$

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

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

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

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