Event‐triggered scheduling for pinning networks of coupled dynamical systems under stochastically fast switching

Abstract

This paper studies the stability of linearly coupled dynamical systems with feedback pinning algorithms. Here, both the coupling matrix and the set of pinned-nodes are time-varying, induced by stochastic processes. Event-triggered rules are employed in both diffusion coupling and feedback pinning terms, which can reduce the actuation and communication loads. Two event-triggered rules are proposed and it is proved that if the system with time-average couplings and pinning gains is stable and the switching of coupling matrices and pinned nodes is sufficiently fast, the proposed event-triggered strategies can stabilize the system. Moreover, Zeno behaviour can be excluded for all nodes. Numerical examples of networks of mobile agents are presented to illustrate the theoretical results.