On series connection of infinitely many RLC two-ports

Avraham Feintuch; Bruce Francis

doi:10.1007/s00498-015-0155-0

On series connection of infinitely many RLC two-ports

Avraham Feintuch, Bruce Francis

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper we study the asymptotic behaviour of infinite systems of first- and second-order linear differential equations arising from the series connection of infinitely many identical RLC two-ports. These systems exhibit nearest-neighbour dynamics that arise in many aspects of classical and modern physics. We study both the “no capacitor” case, which is a first-order system, and the second-order systems that correspond to damped and undamped oscillators.

Original language	English
Article number	2
Pages (from-to)	1-13
Number of pages	13
Journal	Mathematics of Control, Signals, and Systems
Volume	28
Issue number	1
DOIs	https://doi.org/10.1007/s00498-015-0155-0
State	Published - 1 Mar 2016

Keywords

Asymptotic behaviour
RLC two ports
Semigroups of operators
Strong stability of linear infinite-dimensional systems

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Control and Optimization
Applied Mathematics

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10.1007/s00498-015-0155-0

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On series connection of infinitely many RLC two-ports

Abstract

Keywords

ASJC Scopus subject areas

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