Title :
On the number of solutions of a class of nonlinear resistive circuits
Author_Institution :
Dept. of Comput. Sci. & Commun. Eng., Kyushu Univ., Fukuoka, Japan
Abstract :
The author deals with the number of solutions of equations of nonlinear resistive circuits composed of linear and nonlinear one-port resistors, linear active elements, and DC sources. By referring to the V-I characteristics of real diodes it is assumed that the second derivative as well as the first derivative of the V- I characteristics of nonlinear resistors are positive. The necessary and sufficient conditions are given for the equation to have a finite number (⩽2n) of solutions. The extension of this result is discussed
Keywords :
nonlinear equations; nonlinear network analysis; DC sources; V-I characteristics; first derivative; linear active elements; nonlinear resistive circuits; number of solutions; one-port resistors; second derivative; Circuits; Computer science; Diodes; Nonlinear equations; Resistors; Sufficient conditions;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176475
