Stability of multi-channel harmonic sound control systems with uncertainties

Abstract

Sufficient conditions for the stability of fully coupled, multi-channel harmonic sound systems, are presented. These conditions are based on generalizations of the Gershgorin theorem and yield less conservative results then those based directly on the Gershgorin theorem. More important, the conditions are applicable to systems where uncertainties in the physical parameters, and/or the frequency of the primary source within a given bandwidth, are assumed. Some simulation results are provided.