Controllability Gramian

Available identifiers

WikidataQ83587 ScholiaQ83587MaRDI QIDQ6673780

matrix used in linear control problems to determine whether a system is controllable

Defining Formula: $W_c\equiv {\int }_0^{\mathrm{\infty }}{e}^{At}iB(-i)B^{*}{e}^{A^{*}t}\mathrm{d}t$

$A$ symbol represents Control System Matrix A

$B$ symbol represents Control System Matrix B

$W_c$ symbol represents Controllability Gramian

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