Event-based Bipartite Synchronization of Time-varying Signed Networks With Aperiodic Data-sampling

This work investigates the bipartite synchronization issue of a network of nonlinear dynamic systems with aperiodic data-sampling, and the underlying topology follows a changeable signed graph. In order to achieve the control objective, some event-triggered protocols are developed based on sampled data, and some theorems are derived, which elucidate how the system dynamics, network topology, triggering parameters and sampling periods decide synchronization, affirming the critical impact of the average value of the algebraic connectivity of an induced unsigned graph over certain intervals. Unlike most existing works on periodic event-triggered control, the triggering mechanism herein is based on aperiodic sampled data, which thus provides more flexibility for practical use. Meanwhile, the topology is allowed to alter either discretely or continuously, exhibiting good applicability. Finally, some numerical examples are given to validate the theoretical results and demonstrate the performance of our design.