On series connection of infinitely many RLC two-ports

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 mod...

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Bibliographic Details
Published in:Mathematics of control, signals, and systems signals, and systems, 2016-03, Vol.28 (1), p.1, Article 2
Main Authors: Feintuch, Avraham, Francis, Bruce
Format: Article
Language:English
Subjects:
Communications Engineering
Control
Damping
Eigenvalues
Fourier transforms
Kinematics
Linear equations
Mathematics
Mathematics and Statistics
Mechatronics
Networks
Ordinary differential equations
Original Article
Physics
Robotics
Robots
Studies
Systems Theory
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Summary: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.
ISSN:0932-4194
1435-568X
DOI:10.1007/s00498-015-0155-0