Event-triggered pinning control of complex networks with switching topologies

Abstract

This paper investigates the problem of eventtriggered pinning control for the synchronization of networks of nonlinear dynamical agents onto a desired reference trajectory. The pinned agents are those that have access to the reference trajectory. We consider both static and switching topologies. We prove that the system is well posed and identify conditions under which the network achieves exponential convergence. A lower bound for the rate of convergence is also derived. Numerical examples demonstrating the effectiveness of the results are provided.

Event-based exponential synchronization of complex networks

“…However, the triggering function designed in Li et al (2015) still need to decouple the actual states of the nodes. Hence, we are eager to consider the synchronization problem of complex networks via distributed event-triggered diffusions, which has rarely been considered (Liuzza et al 2013;Adaldo et al 2014;Li et al 2015;Gao et al 2014;Zhou et al 2015a).…”

“…A limitation of the event-control law proposed in Dimarogonas et al (2012) is that it requires continuous communication between neighboring nodes to constantly monitor whether the designed events occur or not. In Almeida et al (2014), Liuzza et al (2013), Adaldo et al (2014Adaldo et al ( , 2015, the authors studied the event-triggered consensus of multiagent systems. A limitation of the event-control law proposed in Almeida et al (2014), Liuzza et al (2013) and Adaldo et al (2014Adaldo et al ( , 2015 is that their triggering threshold functions only depend on continuous-time nonincreasing threshold function, which is independent of the states of nodes.…”

“…In Almeida et al (2014), Liuzza et al (2013), Adaldo et al (2014Adaldo et al ( , 2015, the authors studied the event-triggered consensus of multiagent systems. A limitation of the event-control law proposed in Almeida et al (2014), Liuzza et al (2013) and Adaldo et al (2014Adaldo et al ( , 2015 is that their triggering threshold functions only depend on continuous-time nonincreasing threshold function, which is independent of the states of nodes. In Zhu et al (2014), the authors studied event-based consensus of general linear multi-agent systems.…”

“…Different from the traditional discrete-time updating controllers, the eventtriggered controller updates are determined by certain events that are triggered depending on the nodes' behavior. Based on the seminal works (Å ström and Bernhardsson 2002;Å ström 2008), the event-triggered controllers have been adopted widely for control science and engineering applications (Wang and Lemmon 2011;Mazo and Tabuada 2011;Tabuada 2007;Dimarogonas et al 2012;Almeida et al 2014;Liuzza et al 2013;Adaldo et al 2014;Zhu et al 2014;Fan et al 2013;Li et al 2015;Gao et al 2014;Zhou et al 2015a). In Dimarogonas et al (2012), the authors studied the event-triggered consensus of multiagent systems with undirected communication topology.…”

Event-Triggered Pinning Control of Switching Networks

“…In [30], the authors addressed the problem of event-triggered pinning synchronization considering linear diffusive coupling and unweighted network topologies. In this paper, a more general setup is considered, namely, weighted switching topologies with generic linear interactions are investigated.…”