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

In this note, under assumptions that the nominal linear implicit system is regular, impulse-free, with all its generalized eigenvalues lying inside some specified regions, sufficient conditions are proposed to preserve the assumed properties when structured perturbations are added into the nominal system. Explicit bounds on perturbations with different structures are given in terms of the spectral radii of some nonnegative matrices.<
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