Abstract
This paper delves into the flocking behavior of a class of multi-agent systems with symmetrical and asymmetrical delays under hierarchical leadership. First, we present the two corresponding models. Then, mainly using mathematical induction and considering the nature of differential and quadratic functions, we prove that the group can realize flocking with the two types of delays under certain conditions. Finally, we validate the conclusions via numerical simulation results.
2010 Mathematics Subject Classifications:
Disclosure statement
No potential conflict of interest was reported by the author(s).