Flocking Control for Cucker–Smale Model Subject to Denial-of-Service Attacks and Communication Delays

This paper examines the flocking control issue of Cucker–Smale model in presence denial-of-service (DoS) attacks and communication delays. In setting DoS attacks, attacker only obstructs information between agents during activation phases, while it concentrates on supplying its own energy dormancy phases. Furthermore, delays are assumed to be time-varying heterogeneous. Firstly, a general input scheme that defends against network is constructed. Secondly, basis presented properties graph theory, equivalently transformed into products convergence infinite sub-stochastic matrices. Finally, an algebraic condition obtained formulate all asymptotically achieve behavior. Moreover, theoretical results verified by numerical example.