Robust regional eigenvalue‐clustering analysis for linear perturbed discrete time‐delay systems

Abstract

In this work, under the assumption that all the eigenvalues of the linear nominal discrete time‐delay system lie within certain specified regions, a sufficient condition is proposed to preserve the assumed property when structured parameter perturbations are added into the linear nominal discrete time‐delay system. No restriction is imposed on the shapes of the specified region. When all the eigenvalues are required to locate in stable regions, the proposed criterion will become the stability robustness criterion. For the case of a circular region, two examples are given to show, numerically, that the proposed criterion may obtain better results than those reported recently.

Key words :

• discrete time‐delay systems
• eigenvalue‐clustering analysis
• robustness.

Notes

Correspondence addressee