On series connection of infinitely many RLC two-ports

Avraham Feintuch, Bruce Francis

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 languageEnglish
Article number2
Pages (from-to)1-13
Number of pages13
JournalMathematics of Control, Signals, and Systems
Issue number1
StatePublished - 1 Mar 2016


  • 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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