• DocumentCode
    981835
  • Title

    Optimal scalar Lyapunov functions for decentralised stabilisation of interconnected systems

  • Author

    Soliman, Hisham M. ; Fleming, R.J.

  • Author_Institution
    Cairo University, Electrical Engineering Department, Giza, Egypt
  • Volume
    18
  • Issue
    23
  • fYear
    1982
  • Firstpage
    993
  • Lastpage
    994
  • Abstract
    The problem of stabilisation of interconnected linear systems is considered by means of scalar Lyapunov functions and aggregation. A sufficient condition is given for an interconnected system to be stabilised using only local state feedback. The aim is to provide the least restrictive condition possible, which is termed `optimal¿, by properly choosing the state-variable weighting matrices for each subsystem.
  • Keywords
    Lyapunov methods; feedback; linear systems; optimal control; stability; aggregation; decentralised stabilisation; interconnected systems; linear systems; local state feedback; optimal stability condition; scalar Lyapunov functions;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:19820680
  • Filename
    4247030
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=981835