Non-invasive control of the fractional Hegselmann-Krause type model
Dynamical Systems
2017-08-22 v1
Abstract
In this paper, the fractional order Hegselmann-Krause type model with leadership is studied.We seek an optimal control strategy for the system to reach a consensus in such a way that the control mechanism is included in the leader dynamics. Necessary optimality conditions are obtained by the use of a fractional counterpart of Pontryagin Maximum Principle. The effectiveness of the proposed control strategy is illustrated by numerical examples.
Keywords
Cite
@article{arxiv.1708.06129,
title = {Non-invasive control of the fractional Hegselmann-Krause type model},
author = {Ricardo Almeida and Agnieszka B. Malinowska and Tatiana Odzijewicz},
journal= {arXiv preprint arXiv:1708.06129},
year = {2017}
}
Comments
This is a preprint of a paper whose final and definite form is in Theory and Applications of Non-integer Order Systems, Lecture Notes in Electrical Engineering, Springer Verlag