Simon edited Stability and Convergence Proof.tex  over 9 years ago

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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