We analyze the flocking behavior of a Cucker–Smale-type system with a delayed coupling, where delays are information processing and reactions of individuals. By constructing a system of dissipative differential inequalities together with a continuity argument, we provide a sufficient condition for the flocking behavior showing the velocity alignment between particles as time goes to infinity when the maximum value of time delays is sufficiently small.
Bibliographical noteFunding Information:
YPC was supported by INHA UNIVERSITY Research Grant . ( INHA-55447 ). The authors warmly thank Professor Seung-Yeal Ha for helpful discussion and valuable comments.
© 2018 Elsevier Ltd
All Science Journal Classification (ASJC) codes
- Applied Mathematics