Stability of Systems with Multiple Very Small and Very Large Parasitics.

Abstract

Stability of linear systems with several very small as well as several very large parasitic parameters is analyzed. Time-scale separation is used in conjunction with the recently introduced notion of strong D-stability to prove general asymptotic stability results for this class of systems. Moreover, it is observed that, contrary to the case studied by Desoer and Shensa (1970) which involved a single small parasitic parameter and a single large parasitic parameter, the system cannot be transformed into a standard multiparameter singular perturbation problem. Hence, systems containing both stray and sluggish elements do indeed represent a separate class of problems in asymptotic analysis.