Title :
Necessary and sufficient condition for uniqueness of solutions at certain nonlinear resistive networks
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol., New Delhi, India
fDate :
5/1/1990 12:00:00 AM
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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
