Stability analysis of equilibrium states of a certain class of non‐linear dynamic circuits Available to Purchase

Dynamic non‐linear circuits driven by DC voltage and current sources are considered in the paper. The problem of identification of asymptotically stable equilibrium states is analyzed. The circuits are studied where there is a one‐to‐one correspondence between each operating point of a DC model of a dynamic circuit and equilibrium state of the dynamic circuit. A method is developed, based on quantities concerning resistive circuits only, enabling us to select some of the operating points being asymptotically stable equilibrium states. It is shown that these operating points are asymptotically stable equilibrium states of some class of dynamic circuits which differ one from another in characteristics of the capacitors and inductors. The approach is illustrated by a numerical example.