DocumentCode
1528409
Title
Necessary and sufficient condition for uniqueness of solutions at certain nonlinear resistive networks
Author
Prasad, V.C.
Author_Institution
Dept. of Electr. Eng., Indian Inst. of Technol., New Delhi, India
Volume
37
Issue
5
fYear
1990
fDate
5/1/1990 12:00:00 AM
Firstpage
640
Lastpage
642
Abstract
It is shown that the Jacobian determinant being nonzero for all values of its variables is both necessary and sufficient for the uniqueness of solutions of a wide class of networks. These networks may contain negative-resistance devices as well as Ebers-Moll transistors. It is shown that the norm coerciveness condition can essentially be taken for granted
Keywords
negative resistance; nonlinear network analysis; Ebers-Moll transistors; Jacobian determinant; negative-resistance devices; nonlinear resistive networks; nonzero; norm coerciveness condition; uniqueness; Cellular neural networks; Circuit testing; Differential equations; Jacobian matrices; Modems; Neural networks; Nonlinear circuits; Resistors; Sufficient conditions; Vectors;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.55006
Filename
55006
Link To Document