Control of Equalization of Invariants
Optimization and Control
2023-11-28 v1
Abstract
A new class of control problems is discussed - homeostasis control. Homeostasis control problems can be considered as control problems with a given target set, in particular, as a problem of stabilizing the values of some target function, which is an invariant of the control free system. The report examines a more general class: equalizing the values of two or more objective functions, each of which is an invariant of the corresponding subsystem of a complex system. An approach to the design of control algorithms based on the speed gradient method is proposed and the conditions for the pplicability of the approach are established.
Cite
@article{arxiv.2311.14840,
title = {Control of Equalization of Invariants},
author = {Alexander Fradkov},
journal= {arXiv preprint arXiv:2311.14840},
year = {2023}
}
Comments
9 pages, in Russian language