Allowable perturbations for robust pole assignment of dynamic systems

In this paper, we present methods to calculate the perturbation bounds of dynamic systems to have the eigenvalues restricted in some specified regions. Both the norm bound and the element bound for allowable perturbations are obtained. The proposed methods are applicable to the continuous-time case as well as to the discrete-time case. When the eigenvalues are just requested to locate in the stable region, the proposed criteria would become the stability robustness criteria.