Multi-Leader Bipartite Consensus of Stochastic Delayed Signed Networks With Event-Triggered Unbounded Delayed Impulses

Abstract

Unbounded delayed impulsive controlled multi-leader delayed stochastic signed networks are investigated in this brief. A multileader model based on relays to compensate for topological differences is given. In addition, through an event-triggered mechanism, a probability-based unbounded delayed impulsive control model for bipartite consensus is proposed, which shows that as long as the impulses satisfying certain conditions of time delay are properly blocked, the system is still able to maintain convergence and the Zeno behavior is naturally excluded. Based on the above event-triggered control method, sufficient conditions for the bipartite consensus of multileader and leaderless delayed stochastic signed networks are obtained using the Lyapunov function method and Itô’ formula. Finally, the validity of the obtained results is supported by two examples.