The consistency of constraint indices of admissibility, ??∞ and state variance is investigated for a class of
uncertain descriptor systems with the output feedback control. Firstly, a necessary and sufficient condition is presented for the
closed-loop descriptor system with admissibility and ??∞ constraints are given. Then, by using quasi-Newton approach, the
solvability of nonlinear matrix inequality is transformed into the minimization problem of maximum eigenvalue. Satisfactory
control design methods are provided for the output feedback control with constraints of admissibility, ??∞ and consistency
state-variance, and a range is presented for the state-variance which is consistent with the given ??∞. Finally, a numerical
example illustrates that the proposed method is effective and can guarantee the dynamic performance of the system.