On "Superstable" discrete systems

  • Authors:
  • V. M. Kuntsevich

  • Affiliations:
  • Institute of Space Research, National Academy of Sciences and National Space Agency, Kiev, Ukraine

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2007

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Abstract

For the class of nonstationary discrete linear systems whose parameters have only multiple estimates, the sufficient condition for their robust stability was obtained on the basis of a discrete analog of the Lyapunov method. If satisfied at each time instant, this condition can be interpreted as the sufficient stability condition for systems with "frozen" coefficients. Robust stability of the stationary systems of the specified class follows from it as a special case.