Further results on formation infeasibility and velocity alignment

Dimos V. Dimarogonas, Kostas J. Kyriakopoulos

Research output: Chapter in Book/Report/Conference proceedingConference contribution


In previous work, we deduced that formation infeasibility results in velocity alignment in multi-agent systems with bidirectional communication topology and single integrator as well as nonholonomic kinematics. This paper contains additional results regarding the connection between formation infeasibility and velocity alignment. In particular, we obtain an analytic expression for the resulting common velocity vector in the case of formation infeasibility and extend the results to the case of unidirectional communication topology. The results are then extended to the case of a leader-follower architecture in which the followers are not aware of a global objective while the leaders are responsible for driving the team to the interior of a desired leader formation. When this formation is infeasible, we show that both leaders and followers attain a common velocity vector, of which an analytic expression is also provided. Computer simulations support the derived results.

Original languageEnglish (US)
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)1424414989, 9781424414987
StatePublished - 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: Dec 12 2007Dec 14 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370


Other46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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