A sectoring algorithm for exact computation of the frequency response of linear interval systems

KARAMANCIOĞLU A., Dzhafarov V.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, vol.17, no.4, pp.483-493, 1998 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 4
  • Publication Date: 1998
  • Doi Number: 10.1007/bf01201504
  • Journal Name: CIRCUITS SYSTEMS AND SIGNAL PROCESSING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.483-493
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

An algorithm for the exact computation of the frequency responses of linear interval systems is obtained. For the computation a sectoring stage is added to an elimination algorithm to eliminate interior curves. It is shown that the intersection of a ray and the frequency response set is an empty set or a line segment whose endpoints are extrema of the functions defined. Required mathematical analysis tools for the development of the sectoring algorithm and an illustrative example are provided.