Balancing Transformation (Q6674140)
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coordinate transformation T under which controllability and observability Gramians become equal and diagonal matrices comprising the Hankel singular values
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Balancing Transformation |
coordinate transformation T under which controllability and observability Gramians become equal and diagonal matrices comprising the Hankel singular values |
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The transformation T is a contragredient transformation and exists whenever 𝑊𝑐 and 𝑊ₒ are symmetric and positive definite. Note that the squared HSVs are the eigenvalues of the product of 𝑊𝑐 and 𝑊ₒ.
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