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 |
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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 | |
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