Event-triggered consensus of multi-agent systems with nonlinear dynamics and communication delay

Yangling Wang, Jinde Cao, Haijun Wang and Fuad E. Alsaadi

Physica A: Statistical Mechanics and its Applications, 2019, vol. 522, issue C, 147-157

Abstract: This paper investigates the leader-following consensus of multi-agent systems with nonlinear inherent dynamics and time delays via event-triggered control and pinning control methods. The communication topology among the agents is characterized by a directed graph containing a spanning tree with the leader agent as the root. Based on measurement errors and an exponential decay function, we propose a novel event triggering rule which can not only avoid the continuous communication, but also exclude the Zeno-behavior. Moreover, each agent is required to be triggered only at its own triggering time instants. By using the properties of M−matrix and Lyapunov–Krasovskii functional method, we derive some sufficient leader-following consensus criteria in forms of LMIs. An example is presented to show the effectiveness of the theoretical results obtained in this paper.

Keywords: Event-triggered leader-following consensus; Nonlinear inherent dynamics; Time delay; Pinning control; Directed graph (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:522:y:2019:i:c:p:147-157

DOI: 10.1016/j.physa.2019.01.124

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