Multivalued characteristics in electronic circuits: a unifying approach

In this paper, we propose use of the multivalued operator theory to obtain a unifying approach to analysis of electronic circuits having "hysteresis-type" multivalued dc characteristics. We also show how multivalued operator theory can be successfully applied in analysis of dynamic circuits (e.g., oscillators). The proposed approach, although relying on very involved mathematics, enables formulation of very simple design and analysis formulae which can be used in a straightforward manner by an engineer with even a very fragmentary mathematics background. Several examples of analysis of driving-point and transfer characteristics are shown. Examples of dynamic circuits involving multivalued characteristics are also included.