DocumentCode
848463
Title
Uniqueness of solutions of piecewise linear resistive networks with two terminal resistors
Author
Prasad, V.C.
Author_Institution
Dept. of Electr. Eng., Indian. Inst. of Technol., New Delhi
Volume
24
Issue
23
fYear
1988
fDate
11/10/1988 12:00:00 AM
Firstpage
1438
Lastpage
1439
Abstract
Consider a network comprising two terminal linear, piecewise linear resistors and independent sources. Contrary to widely held belief, it is shown that the determinant sign condition (i.e. the Jacobian determinant is nonzero and has the same sign in all the regions) is both necessary as well as sufficient to guarantee uniqueness of solutions of these networks. For this purpose the existence of a specific hybrid matrix is not required
Keywords
linear network analysis; nonlinear equations; Jacobian determinant; determinant sign condition; independent sources; linear network analysis; piecewise linear resistive networks; two terminal resistors;
fLanguage
English
Journal_Title
Electronics Letters
Publisher
iet
ISSN
0013-5194
Type
jour
Filename
46093
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