分数阶Hegselmann-Krause型模型的非侵入式控制
动力系统
2017-08-22 v1
摘要
本文研究了带领导力的分数阶Hegselmann-Krause型模型。我们寻求一种最优控制策略，使系统达到一致，且控制机制包含在领导者动态中。利用庞特里亚金极大值原理的分数阶对应形式，得到了必要的最优性条件。通过数值算例说明了所提控制策略的有效性。
引用
@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}
}
备注
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