Robust Stability Bounds on Structured Time-Varying Independent Perturbations for Linear State-Space Models

Abstract

In this paper, new sufficient-condition bounds on linear time-varing perturbations that maintain the stability of an asymptotically stable linear time-invariant nominal system are obtained for structured (elemental) independent perturbations. A sufficient condition for the stability of interconnected dynamic systems is also presented in terms of a bound on the time-varying structural parameter. Some examples are given to compare these proposed bounds with those existing bounds.