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Simon edited Stability and Convergence Proof.tex
over 9 years ago
Commit id: 69a3eb10f42c68d5e786693ad6ab82fcc15eeb31
deletions | additions
diff --git a/Stability and Convergence Proof.tex b/Stability and Convergence Proof.tex
index f4f2c37..0d94d77 100644
--- a/Stability and Convergence Proof.tex
+++ b/Stability and Convergence Proof.tex
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\\\lambda(s) = a_{n-1}s^{n-1} + a_{n-2}
\end{align}
Therefore it is necessary but not sufficient that the zeros of the transfer function $F(s) =
\frac{1}{\lambda(s)}[1,s,\vdots,s^{n-2}]^T$ \frac{1}{\lambda(s)}[1,s,\ldots,s^{n-2}]^T$ don't cancel out the roots. The only possible case in which a zero-pole-cancellation occurs is for
F is controllable due to the fact that