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The solvability and monotonical properties of a certain class of D.C. non‐linear networks
Author(s) -
Tadeusiewicz Michal
Publication year - 1984
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.4490120207
Subject(s) - uniqueness , class (philosophy) , monotonic function , mathematics , topology (electrical circuits) , network topology , discrete mathematics , computer science , combinatorics , mathematical analysis , artificial intelligence , computer network
The problem of the existence and uniqueness of solutions for a certain class of non‐linear networks, including locally active elements and controlled sources, is considered in the paper. the conditions under which the input characteristics of the network are monotonically increasing are also analysed. Two theorems relating to the problem in question, containing some results in terms of the network topology, are formulated.