Monotone Networks; Kirchhoff Regimes

Armen H. Zemanian
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Armen H. Zemanian: University at Stony Brook, Electrical Engineering Department

Chapter 6 in Pristine Transfinite Graphs and Permissive Electrical Networks, 2001, pp 105-134 from Springer

Abstract: Abstract Through a different analysis based on some stronger assumptions than those used in the preceding chapter, it can be shown that Kirchhoff’s laws along with Ohm’s law determine an operating point for our transfinite networks. In fact, this can be done for quite general nonlinear networks without much more effort than that needed for linear networks, once certain results on nonlinear finite networks are established. So, we attack the nonlinear case directly, with linear networks encompassed as a special case.

Keywords: Operating Point; Maximal Monotone; Current Vector; Linear Network; Node Voltage (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4612-0163-2_6

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