Dynamic event-triggered boundary control for exponential consensus of multi-agent systems of impulsive PDEs with switching topology

Abstract

This paper is concerned with the exponential consensus issue for multi-agent systems (MASs) of impulsive partial differential equations (PDEs) with switching topology. A new observer-based dynamic event-triggered boundary control (DETBC) protocol is designed to realize the exponential consensus objective. By Lyapunov functional method, impulse control theory and inequality analysis technique, some conditions are addressed to ensure that the considered MASs achieve the exponential consensus in terms of linear matrix inequalities (LMIs). In addition, the theoretical analysis with respect to the exclusion of Zeno behaviors is given for the designed DETBC mechanism. Finally, two examples are established to indicate the validity of the obtained results.