Exponentially stable solution of mathematical model based on graph theory of agents dynamics on time scales
Classical Analysis and ODEs
2019-04-18 v2 Optimization and Control
Abstract
In this paper an emergence of leader-following model based on graph theory on the arbitrary time scales is investigated. It means that the step size is not necessarily constant but it is a function of time. We propose and prove conditions ensuring a leader-following consensus for any time scales using Gr\"{o}nwall inequality. The presented results are illustrated by examples.
Keywords
Cite
@article{arxiv.1904.00218,
title = {Exponentially stable solution of mathematical model based on graph theory of agents dynamics on time scales},
author = {Urszula Ostaszewska and Malgorzata Zdanowicz and Ewa Schmeidel},
journal= {arXiv preprint arXiv:1904.00218},
year = {2019}
}