Allowable perturbations for the stability robustness of systems with uncertain parameters

Abstract

Abstract This paper presents new techniques to analyze the stability robustness of linear time‐invariant systems in state space models. The fundamental criteria derived before for testing the stability robustness of autonomous systems are applied to the robustness analysis of multivariable feedback systems. Both the norm bound and the element bound for allowable perturbations are obtained. A stability robustness index is defined which is useful both for the analysis and the synthesis of control systems.