Control theory for nonlinear fractional dispersive systems
Optimization and Control
2022-12-27 v1 Functional Analysis
Abstract
We consider a terminal control problem for processes governed by a nonlinear system of fractional ODEs. In order to show existence of the control, we first consider the linear counterpart of the system and reprove a number of classical theorems in the fractional setting (representation of the solution through the Gramian type matrix, Kalman's principle, equivalence of the controllability and observability). We are then in the position to use a fixed point theorem approach and various techniques from the fractional calculus theory to get the desired result.
Cite
@article{arxiv.2212.12692,
title = {Control theory for nonlinear fractional dispersive systems},
author = {Maja Jolić and Sanja Konjik and Darko Mitrović},
journal= {arXiv preprint arXiv:2212.12692},
year = {2022}
}