Stability analysis for distributed-parameter systems interconnected via feedback channels with time-varying delay

Abstract

This paper establishes a sufficient condition for the stability of a structured class of feedback systems. Specifically, interconnections of constantly-proper Callier-Desoer distributed-parameter transfer functions, via bandwidth-limited feedback channels with time-varying delay. The point-wise in frequency stability condition is obtained by applying a recent robustness result that involves integral-quadratic-constraints and a linear time-varying generalization of the ν-gap metric. © 2012 IEEE.