A CANONICAL REPRESENTATION FOR PIECEWISE-AFFINE MAPS AND ITS APPLICATIONS TO CIRCUIT ANALYSIS

GUZELIS C., GOKNAR I.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, cilt.38, sa.11, ss.1342-1354, 1991 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 11
  • Basım Tarihi: 1991
  • Doi Numarası: 10.1109/31.99163
  • Dergi Adı: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, zbMATH
  • Sayfa Sayıları: ss.1342-1354
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

A new canonical representation for a rather general class of piecewise-affine maps has been developed. The given canonical representation extends the canonical representation proposed by Chua and Kang into PWA partitions, which arise frequently in driving-point, transfer characteristics, and state equations. Thus a universal canonical representation that is capable of characterizing circuit equations, state equations, and driving-point and transfer characteristics of piecewise-affine circuits in a compact global analytic form has been obtained. The canonical forms developed seem to be promising tools for computational purposes as well as for analytical studies of piecewise-affine circuits.