## Section: New Results

### Optimal Control of Chemical Networks by Temperature Control

Participants : Bernard Bonnard, Jérémy Rouot.

The objective of the project is to develop previous results obtained at the end of the 90’s by B. Bonnard and his collaborators to control the production of batch reactors by temperature control in relation with the Shell Company. These results were derived to analyze the simple (but relevant for applications) irreversible reaction scheme $\mathrm{A}\to \mathrm{B}\to \mathrm{C}$. More complicated weakly reversible scheme like the McKeithan network are currently under investigation taking into account the bridge phenomenon detected in [7], where complicated optimal policies with two singular arcs can occur. Preliminary results are presented in [3] where also the geometric techniques are described. See also the article in the 58th IEEE-CDC Nice conference [11].