Sensitivity of Hurwitz stability of linear differential equation systems with constant coefficients

摘要

For Hurwitz stable linear differential equation system with constant coefficients, we have proved continuity theorems which show how much change is permissible without disturbing the Hurwitz stability and the k*-Hurwitz stability. The results have been applied to the scalar-linear differential equations with order k and some examples illustrating the efficiency of the theorems have been given.