Input-to-State Stability Analysis of Partial-Element Equivalent-Circuit Models

Author

Antonini, Giulio ; Pepe, Pierdomenico

Author_Institution

Dipt. di Ing. Elettr. e dell´´Inf., Univ. degli Studi di L´´Aquila, L´´Aquila

Volume

56

Issue

3

fYear

2009

fDate

3/1/2009 12:00:00 AM

Firstpage

673

Lastpage

684

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.

Keywords

asymptotic stability; circuit stability; delays; difference equations; electromagnetic coupling; equivalent circuits; functional equations; linear matrix inequalities; asymptotic stability; electromagnetic coupling; electromagnetic solvers; input-to-state stability analysis; linear matrix inequalities; neutral functional differential equations; partial-element equivalent-circuit models; time delays; Input-to-state stability (ISS); neutral functional differential equation (NFDE); partial-element equivalent-circuit (PEEC) method;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2008.2002118

Filename

4663645