Robustness of regional pole placement for uncertain continuous-time implicit systems

Sufficient conditions are proposed to guarantee robust pole location inside some specified regions for linear uncertain implicit systems. The robust control problems of uncertain implicit systems are more complicated than those of state-space systems since not only robustness of stability but regularity and freedom of impulse as well should be considered simultaneously. The explicit bounds on linear time-invariant perturbations with highly structured information can be obtained by using the techniques of spectral radius and nonnegative matrices