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

Access to Document

10.1007/s00498-015-0155-0

Cite this

@article{bd312bc869a04b9896abd27b87cdd2e6,

title = "On series connection of infinitely many RLC two-ports",

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.",

keywords = "Asymptotic behaviour, RLC two ports, Semigroups of operators, Strong stability of linear infinite-dimensional systems",

author = "Avraham Feintuch and Bruce Francis",

note = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag London.",

year = "2016",

month = mar,

day = "1",

doi = "10.1007/s00498-015-0155-0",

language = "English",

volume = "28",

pages = "1--13",

journal = "Mathematics of Control, Signals, and Systems",

issn = "0932-4194",

publisher = "Springer London",

number = "1",

}

TY - JOUR

T1 - On series connection of infinitely many RLC two-ports

AU - Feintuch, Avraham

AU - Francis, Bruce

PY - 2016/3/1

Y1 - 2016/3/1

N2 - 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.

AB - 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.

KW - Asymptotic behaviour

KW - RLC two ports

KW - Semigroups of operators

KW - Strong stability of linear infinite-dimensional systems

UR - http://www.scopus.com/inward/record.url?scp=84949008820&partnerID=8YFLogxK

U2 - 10.1007/s00498-015-0155-0

DO - 10.1007/s00498-015-0155-0

M3 - Article

AN - SCOPUS:84949008820

SN - 0932-4194

VL - 28

SP - 1

EP - 13

JO - Mathematics of Control, Signals, and Systems

JF - Mathematics of Control, Signals, and Systems

IS - 1

M1 - 2

ER -

On series connection of infinitely many RLC two-ports

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this