International Conference. A. A. Davydov – “On optimization of cyclic processes”

Описание

International Conference, dedicated to the 75th birthday of Sabir M. Gusein-Zade
20.06.25

A. A. Davydov (Moscow, Russia)
On optimization of cyclic processes

At the beginning of this century, V.I. Arnold proposed a model for analyzing cyclic processes, which included a controlled system on a circle to describe motion along the cycle and a utility density function obtained during the traversal. A time-averaged functional was also introduced to optimize such processes.

Later, for continuous controlled systems and utility densities, it was proven that the optimal motion on the circle with respect to this functional is always achieved either by a cyclic process or in a steady state. Certain properties of the maximum time-averaged utility were also studied in generic one-parameter models.

The talk will focus on extending this theory to the case of renewable resource dynamics. In particular, we will address KPP and Fisher-type models on a torus or sphere.

General information
The conference will be held in the Faculty of Mathematics of the HSE University (Usacheva str. 6, Moscow).
Dates: 16 - 20 June 2025
Organizers: A. Buryak, V. Medvedev, A. Skripchenko

More information:
https://math.hse.ru/modern_aspects_singularity_theory25/
https://mccme.ru/ru/modern_aspects_singularity_theory2025/

Автор

Mathematics at HSE