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The active line problem: On the existence and uniqueness of the response of the infinite active line
Author(s) -
Civalleri P. P.
Publication year - 1973
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490010110
Subject(s) - uniqueness , line (geometry) , mathematics , set (abstract data type) , state space , excitation , active networking , mathematical analysis , physics , computer science , telecommunications , geometry , quantum mechanics , statistics , programming language
In this paper, a system of N coupled active infinite lines, excited by a set of N series impressed voltage sources and of N parallel impressed current sources, is considered. The system is assumed to be described by both a Telegraphist's and a State‐space mathematical model. Conditions are given for the existence and the uniqueness of the response of the structure to the given excitation, within the framework of suitable distribution spaces.