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Containment analysis and design for high-order linear time-invariant singular swarm systems with time delays

  • Dong Xiwang*
  • , Xi Jianxiang
  • , Shi Zongying
  • , Zhong Yisheng
  • *Corresponding author for this work
  • Tsinghua University
  • Xi'an Research Institute of High Technology

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

Abstract

Containment analysis and design problems for high-order linear time-invariant singular swarm systems with time delays on directed graphs are dealt with. To eliminate impulse terms in singular swarm systems and ensure that the singular swarm systems can achieve containment, time-delayed protocols are presented for leaders and followers respectively. By model transformation, containment problems of singular swarm systems are converted into the asymptotically stable problems of multiple low-dimensional time-delayed systems. In terms of linear matrix inequality, sufficient conditions are presented for time-delayed singular swarm systems to achieve containment, which are independent of the number of agents. By applying changing variable methods, an approach is provided to determine the gain matrix in the protocols. Numerical simulations are shown to demonstrate theoretical results.

Original languageEnglish
Title of host publicationProceedings of the 31st Chinese Control Conference, CCC 2012
Pages6296-6302
Number of pages7
StatePublished - 2012
Externally publishedYes
Event31st Chinese Control Conference, CCC 2012 - Hefei, China
Duration: 25 Jul 201227 Jul 2012

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference31st Chinese Control Conference, CCC 2012
Country/TerritoryChina
CityHefei
Period25/07/1227/07/12

Keywords

  • Containment
  • High-order
  • Singular swarm system
  • Time delay

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