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