New non-Lyapunov approach to robust eigenvalue-clustering analysis

In this work, a new non-Lyapunov approach is presented to investigate the r obustness problem of eigenvalue-clustering in a specified region fur linear systems subjected to parameter perturbations. Based on the essential prope rties of matrix measures, we propose some new sufficient conditions to ensu re that the system's eigenvalues cluster in a specified region irrespective of the system perturbations. By mathematical analysis, the presented non-L yapunov criteria are proved to be less conservative than the existing non-L yapunov ones reported recently.