Numerical aspects of linear control : Canonical representation

Canonical representation
Numerical aspects of linear control

Author : Claude BREZINSKI

Publication date: April 10, 2007 | Lire en français

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5. Canonical representation

If the controllability matrix is of rank n_c < n, then there exists z = Tx, with T regular, which transforms the equations (1)-(2) into : $\begin{matrix} (\begin{matrix} {x^{'}}_{c} \\ {x^{'}}_{c^{'}} \end{matrix}) = (\begin{matrix} A_{} \end{matrix} \end{matrix}$

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Canonical representation

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References

(1) - BAI (Z.), FELDMANN (P.), FREUND (R.W) - Stable and passive reduced-order models based on partial Padé approximation via Lanczos process. - Numerical Analysis Manuscript n° 97-3-10, Bell Laboratories, Murray Hill, New Jersey, USA (1997).
(2) - BAI (Z.) , FREUND (R.W.) - A partial Padé-via-Lanczos...

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Canonical representation Numerical aspects of linear control

5. Canonical representation

References

Canonical representation
Numerical aspects of linear control