• DocumentCode
    3744099
  • Title

    On a convex characterisation of stability and performance for hybrid linear systems

  • Author

    Matheus Souza;José C. Geromel

  • Author_Institution
    School of Electrical, Electronic and Communications Engineering, University College Dublin (UCD), Ireland
  • fYear
    2015
  • Firstpage
    6623
  • Lastpage
    6628
  • Abstract
    Hybrid linear systems stability and performance are analysed in the context of semidefinite programming with conditions expressed by LMIs. First, new convex conditions for the global asymptotic stability of the origin are presented. These conditions are then generalised to provide a unified convex characterisation of performance for stable hybrid linear systems involving measures similar to ℋ2 and ℋ∞ norms. Academic examples illustrate the developed theory.
  • Keywords
    "Linear systems","Asymptotic stability","Boundary value problems","Symmetric matrices","Stability criteria","Differential equations"
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
  • Type

    conf

  • DOI
    10.1109/CDC.2015.7403262
  • Filename
    7403262
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3744099