Stability analysis of flocking for multi-agent dynamic systems
type: Item
instance of: scholarly article
title: Stability analysis of flocking for multi-agent dynamic systems
zbMATH Open document ID: 1281.34082
published in: Nonlinear Analysis. Real World Applications
publication date: 2013-03-07T00:00:00Z
review text: The authors first show that the cohesion condition given in [\textit{R. Olfati-Saber} and \textit{R. M. Murray}, ``Consensus problems in networks of agents with switching topology and time-delays'', IEEE Trans. Automat. Control 49, 1520--1533 (2004; \url{doi:10.1109/TAC.2004.834113})] is implied under a mild assumption on the connectivity of graphs. They analyze the stability of flocking. Sufficient conditions are established to guarantee the emergence of flocking with \(\alpha\)-lattice. For the case when there is a leader rather than a virtual leader among agents, they propose a flocking algorithm and analyze the emergence of flocking with \(\alpha\)-lattice. It is also worth pointing out that the LaSalle invariance principle is used to establish the main results under the assumption that there is only a joint path from one agent to any other agent across \([t_0,t_0+T]\) for any \(t_0>0\) and some \(T>0\) in the moving frame. This requires a careful examination due to the boundedness of trajectories.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 92D50
zbMATH DE Number: 6142857
zbMATH Keywords: stability
zbMATH Keywords: flocking
zbMATH Keywords: multi-agent system
zbMATH Keywords: LaSalle invariance principle
author: Yuangong Sun
reviewed by: Zhonghua Zhang
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2012.08.018
OpenAlex ID: W2039952180
DOI: 10.1016/J.NONRWA.2012.08.018
description: scientific article; zbMATH DE number 6142857