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Monotone RLC Circuits

2020/12/21 by Thomas Chaffey, Rodolphe Sepulchre, Chaffey, Thomas +1
Computer Science · Engineering · Mathematics · #47H05 #47N70 #93C10 #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #cs.SY #eess.SY #electronic engineering #information engineering #math.OC #msc:47H05 #msc:47N70 #msc:93C10

paper · pdf · doi:10.48550/arxiv.2012.11533

Accepted for presentation at the 2021 European Control Conference

arxiv created 2021/04/06 · arxiv updated 2021/04/07

Abstract

The circuit-theoretic origins of maximal monotonicity are revisited using modern optimization algorithms for maximal monotone operators. We present an algorithm for computing the periodic behavior of an interconnection of maximal monotone systems using a fixed point iteration. The fixed point iteration may be split according to the interconnection structure of the system. In this preliminary work, the approach is demonstrated on port interconnections of maximal monotone resistors and LTI capacitors and inductors.

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