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Non-smooth Lyapunov function for nonlinear consensus problem

  • Yao Chen
  • , Hairong Dong
  • , Jinhu Lu
  • , Xubin Sun
  • Beijing Jiaotong University
  • CAS - Academy of Mathematics and System Sciences

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Consensus of multi-agent systems (MAS) is an intriguing topic recent years due to its widely application in robotics, biology, computer and social science. Traditionally, construction of smooth Lyapunov function can be viewed as an effective method for the stability analysis of MAS with fixed topology. On one hand, the evolution of MAS is inevitably involved in dynamical environments and the recent development of MAS requires systematic tools for the analysis of MAS with dynamic topology. On the other hand, the interactions between agents are more likely to be nonlinear in the real world and the investigation of MAS has not too much concern on nonlinear models yet. Facing these problems, this paper takes a non-smooth Lyapunov candidate to investigate the consensus of a representative nonlinear MAS with dynamical topology. Several consensus criteria are proposed and simulation results validate the effectiveness of these criteria.

Original languageEnglish
Title of host publication2013 American Control Conference, ACC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4015-4020
Number of pages6
ISBN (Print)9781479901777
DOIs
StatePublished - 2013
Externally publishedYes
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: 17 Jun 201319 Jun 2013

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2013 1st American Control Conference, ACC 2013
Country/TerritoryUnited States
CityWashington, DC
Period17/06/1319/06/13

Keywords

  • Multi-Agent System
  • Nonlinear Consensus
  • Nonsmooth Lyapunov Function
  • Switching Topology

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