Comparison of Interval Numbers and Optimization of Interval-Parameter Systems

  • Authors:
  • V. I. Levin

  • Affiliations:
  • Institute of Technology, Penza, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2004

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Abstract

Numbers defined by intervals are investigated in connection with optimization of interval-parameter systems. The solution of this problem is based on the concept of a measure of proximity for intervals and this concept is extended to arbitrarily located intervals. If covering of an interval by another is forbidden, the solution is transformed into the well-known solution, i.e., the right-shifted interval is the larger of the two. In the general case, the solution is reduced to comparing the centers of intervals.