Flocking under hierarchical leadership with symmetrical and asymmetrical delays

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.

Keywords:

• Flocking
• symmetrical and asymmetrical
• delays
• hierarchical leadership

2010 Mathematics Subject Classifications:

• Systems theory
• control
• Difference andfunctional equations

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was jointly supported by the Prospective Research Project of Jiangsu Province (Grant No. BY2016022-17).