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Existence, uniqueness and determination of solution of certain piecewise linear resistive networks
For an equation of the form F(x)=y, it is shown that there is at least one solution for every y if F is eventually P0 passive or the effective Jacobian matrix in all the unbounded regions is a P matrix. In addition to this, ...
Homeomorphic piecewise-linear resistive networks
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 ...
Uniqueness of solutions of networks with two terminal piecewise linear resistors
For networks containing resistors, independent-sources, gyrators, ideal transformers, diodes and other saturating monotone piecewise linear resistors, a new condition is proposed to guarantee uniqueness of solutions. This ...