• DocumentCode
    3066652
  • Title

    Swarm Stability of Compartmental Networks with Linear Time-Invariant High-Order Dynamical Protocol

  • Author

    Ma Haiying ; Cai Ning

  • Author_Institution
    Sch. of Econ., Northwest Univ. for Nat., Lanzhou, China
  • fYear
    2011
  • fDate
    29-31 July 2011
  • Firstpage
    524
  • Lastpage
    527
  • Abstract
    Swarm stability is concerned for compartmental networks with linear time invariant high-order dynamical protocol. Compartmental network is a specific type of dynamical multi-agent system. Necessary and sufficient condition of swarm stability is given, which requires that the products of nonzero elements from the spectrum of the Laplacian matrix of the network and the spectrum of the dynamical protocol possess nonnegative real parts. Two numerical instances are illustrated.
  • Keywords
    matrix algebra; multi-agent systems; protocols; Laplacian matrix; compartmental networks; dynamical multi-agent system; linear time-invariant high-order dynamical protocol; nonzero elements; numerical instances; swarm stability; Asymptotic stability; Eigenvalues and eigenfunctions; Multiagent systems; Numerical stability; Protocols; Stability criteria; Laplacian matrix; compartmental network; multi-agent system; swarm stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Business Computing and Global Informatization (BCGIN), 2011 International Conference on
  • Conference_Location
    Shanghai
  • Print_ISBN
    978-1-4577-0788-9
  • Electronic_ISBN
    978-0-7695-4464-9
  • Type

    conf

  • DOI
    10.1109/BCGIn.2011.138
  • Filename
    6003965
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3066652