Emergence of Bipartite Flocking Behavior for Cucker-Smale Model in Presence of Lossy Links

This work investigates the issue of discrete-time bipartite flocking control for Cucker-Smale model subject to cooperation-competition interations and lossy links. The data packets loss from the controller to the actuator are simulated as a Bernoulli distribution process. The cooperation and competition among individuals are described as a signed digraph. Based on the products convergence approach of infinite sub-stochastic matrices, a algebraic condition which is related to initial states, the topological structure and the successful information transmission rate is established, so as to achieve bipartite flocking. At last, the theoretical result is exemplied through numerical simulations.Copyright (c) 2023 The Authors.