5 problems

Consider a general control system and the two notions of flatness and Monge parameterization: flatness requires a flat output whose associated formulas recover the system variables…

Let $\Omega$ be the domain of a system … mathrm{d}omegawedgeomega=-left(frac{S}{2g4},mathrm{d}lambdawedgeeta+frac{T}{2g4},mathrm{d}lambdawedgeomega^1+J,omega^1wedgeetaright)wedgeom…

The r-flatness conjecture. In the present system, $r$ should be equal to $1$; in the notation of the cited authors, $\alpha_1=3$, $\alpha_2=2$, and $\min(\alpha_1,\alpha_2)-1=1$. T…

Symmetry–flatness conjecture. Symmetry plays a role in differential flatness.

A control system has state dimension $n$, input dimension $m$, and a flat output $y=(\varphi_1,\ldots,\varphi_m)$ of the form … where $q$ is the highest order of a time derivative…