Kharitonov-like Results on Robust Stability of A Class of Polynomial Families under Nonlinearly Correlated Perturbations

摘要

Some Kharitonov-like robust Hurwitz stability criteria are established for a class of complex polynomial families with nonlinearly correlated perturbations. These results are extended to the polynomial matrix case and non-interval D-stability case. Applications of these results in testing of robust strict positive realness of real and complex interval transfer function families are also presented.