Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Greetings, I'm trying to understand a theorem about partial feedback linearization from a paper "On the largest feedback linearizable subsystem" by R.Marino (you can find it here: http://www.mediafire.com/?si2t4lnhxa4jt82)

My question is concerning proof of theorem 4. Citing:

Consider $\overline{G}^{\overline{k}^*_1-2}$. It is easy to see that there must exist an $(r_{k^*_1-1})$-vector function $\phi$, such that $$ d\phi_1 \subset (\overline{G}^{k^*_1-2})^{\bot} $$ and $$ rank <d \phi_1, ad _f^{\overline{k}^*_1-1} G>=r_{\overline{k}^*_1-1} $$

Is the first proposition a consequence of Frobenius theorem? Where does the second proposition come from?

share|improve this question
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.