Input-to-state stability analysis of partial-element equivalent-circuit models

  • Authors:
  • Giulio Antonini;Pierdomenico Pepe

  • Affiliations:
  • UAq EMC Laboratory, Dipartimento di Ingegneria Elettrica e dell'Informazione, Università degli Studi di L'Aquila, L'Aquila, Italy;LabAURO, Dipartimento di Ingegneria Elettrica e dell'Informazione, Università degli Studi di L'Aquila, L'Aquila, Italy

  • Venue:
  • IEEE Transactions on Circuits and Systems Part I: Regular Papers
  • Year:
  • 2009

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Abstract

A full wave description of electromagnetic coupling occurring in circuits has to consider time delays. The retarded partial-element equivalent-circuit (rPEEC) method is one of the approaches which allows us to take time delays resulting in a set of neutral functional differential equations into account. Due to the fragility of electromagnetic solvers, the asymptotic stability is a key issue in PEEC modeling. This paper presents an innovative method, based on linear matrix inequalities, to study the input-to-state stability of PEEC models with multiple noncommensurate time delays. Numerical results are given to illustrate the effectiveness of the proposed method.