Consensus of multi-agent systems via hybrid impulsive protocols with time-delay. (November 2018)

• Record Type: Journal Article
• Authors: Liu, Xinzhi; Zhang, Kexue; Xie, Wei-Chau
• Is Part Of: Nonlinear analysis. Volume 30(2018)
• Page Start: 134
• Page End: 146
• Publication Date: 2018-11
• Subjects: Multi-agent system -- Consensus problem -- Impulsive system -- Time delay -- Switching signal -- Halanay-type inequality; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.05.005
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper studies consensus problems of multi-agent systems. A novel hybrid consensus protocol with dynamically changing interaction topologies is designed to take the time-delay into account in both the continuous-time communication among agents and the instant information exchange at discrete-time moments. By using a new Halanay-type inequality and an auxiliary function, sufficient conditions are established to guarantee that the proposed consensus protocols lead to average-consensus. Our consensus criteria show that the networked multi-agent system with time-delay can achieve average-consensus with appropriate network topologies, suitably designed impulsive instants, and admissible time delays. Numerical simulations are provided to demonstrate the effectiveness of the theoretical results.