• DocumentCode
    3559259
  • Title

    On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms

  • Author

    Olshevsky, Alex ; Tsitsiklis, John N.

  • Author_Institution
    Lab. for Inf. & Decision Syst., Massachusetts Inst. of Technol., Cambridge, MA
  • Volume
    53
  • Issue
    11
  • fYear
    2008
  • Firstpage
    2642
  • Lastpage
    2645
  • Abstract
    We provide an example proving that there exists no quadratic Lyapunov function for a certain class of linear agreement/consensus algorithms, a fact that had been numerically verified in . We also briefly discuss sufficient conditions for the existence of such a Lyapunov function.
  • Keywords
    Lyapunov matrix equations; multi-agent systems; consensus algorithms; linear agreement algorithms; quadratic Lyapunov functions; Communication networks; Convergence; Lyapunov method; Multiagent systems; Sufficient conditions; Consensus algorithms; Lyapunov theory; multi-agent systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2008.2007878
  • Filename
    4700839
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3559259