Exploring the range of transitions in idealized switched networks

The analysis of switched networks becomes conceptually simpler when ideal circuit elements and ideal switching are considered. But this idealization often leads to circuits with excess storage elements and with inconsistent initial conditions. In such cases, a “simultaneous” change in state of a set of switches, a multi-switching, can no longer be treated as an instantaneous event, but must considered a process consisting of a sequence of elementary switching events. For the close to ideal switching, only the order of the elementary switching events is significant. The paper presents a method for finding the classes of such switching processes that lead to distinct values of the state variables immediately after the switching moment