New Non-Lyapunov Approach to Robust Eigenvalue-Clustering Analysis

Abstract

In this work, a new non-Lyapunov approach is presented to investigate the robustness problem of eigenvalue-clustering in a specified region for linear systems subjected to parameter perturbations. Based on the essential properties of matrix measures, we propose some new sufficient conditions to ensure that the system’s eigenvalues cluster in a specified region irrespective of the system perturbations. By mathematical analysis, the presented non-Lyapunov criteria are proved to be less conservative than the existing non-Lyapunov ones reported recently.