  The van de Vusse reactor is an appealing benchmark problem in industrial
control, since it has a non-minimum phase response. The van de Vusse
stochasticity is attributed to the fluctuating input flow rate. The novelties
of the paper are two. First, we utilize the surprising power of Ito stochastic
calculus for applications to account for the van de Vusse stochasticity.
Secondly, the Carleman embedding is unified with the Fokker-Planck equation for
finding the estimation of the van de Vusse reactor. The revelation of the paper
is that the Carleman linearized estimate of the van de Vusse reactor is more
refined in contrast to the EKF predicted estimate. This paper will be useful to
practitioners aspiring for formal methods for stochastically perturbed
nonlinear reactors as well as system theorists aspiring for applications of
their theoretical results to practical problems.
