Approximate solution of a transient tolerance problem for linear circuits

The transient tolerance analysis problem for linear circuits or systems is considered. More specifically, the worst-case tolerance problem is treated in the setting of transient analysis. Two approximate solutions to the tolerance problem considered are suggested. It is shown theoretically that these are good approximations to the exact interval solution to the tolerance problem. This is confirmed by numerical examples. The second approximate solution is found in a very efficient manner and can be used for transient tolerance analysis of circuits (systems) of increased dimensionality. The results obtained are based on an approach using some basic concepts and techniques from interval analysis