Title :
Homeomorphic piecewise-linear resistive networks
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol., New Delhi
fDate :
2/1/1988 12:00:00 AM
Abstract :
Homeomorphism of matrix equations of the form f(x)=g(x)+Hx=y, where g is nondiagonal, is studied. It is shown that contrary to common belief, from a practical point of view, the condition that the Jacobian determinant is nonzero and has the same sign in all the regions is a necessary as well as a sufficient condition
Keywords :
matrix algebra; nonlinear network analysis; piecewise-linear techniques; Jacobian determinant; matrix equations; nonlinear networks; piecewise-linear resistive networks; Active filters; Appraisal; Circuit simulation; Circuit theory; Electronic circuits; Jacobian matrices; Nonlinear equations; Operational amplifiers; Piecewise linear techniques; Resistors;
Journal_Title :
Circuits and Systems, IEEE Transactions on
