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Dissipativity as a unified approach to sandberg-willson-type properties of non-linear transistor networks

A class of circuits is considered consisting of semiconductor devices (non-linearly modelled bipolar transistors and junction diodes), non-linear capacitors and inductors, all connected to a non-linear resistive multiport. This multiport is described by a global piecewise continuously differentiable operator, while the other non-linearities are of piecewise linear type. Sufficient conditions for the existence, uniqueness, stability, boundedness and source-related continuity of the solutions are derived for both direct current and dynamic regimes. All these results are obtained by using the dissipativity property exhibited by the functions appearing in the circuit equations and are extensions of well known results of Sandberg and Willson.