• Title of article

    A result on common quadratic Lyapunov functions

  • Author/Authors

    R، Shorten, نويسنده , , K.S، Narendra, نويسنده , , O.، Mason, نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    4
  • From page
    110
  • To page
    113
  • Abstract
    In this note, we define strong and weak common quadratic Lyapunov functions (CQLFs) for sets of linear time-invariant (LTI) systems. We show that the simultaneous existence of a weak CQLF of a special form, and the nonexistence of a strong CQLF, for a pair of LTI systems, is characterized by easily verifiable algebraic conditions. These conditions are found to play an important role in proving the existence of strong CQLFs for general LTI systems.
  • Keywords
    Turbulence modeling , Time-average , porous media , Interface , , Stress jump , Volume-average
  • Journal title
    IEEE Transactions on Automatic Control
  • Serial Year
    2003
  • Journal title
    IEEE Transactions on Automatic Control
  • Record number

    97383