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Exact unidirectional perturbation bounds for robust stability of uncertain generalized state-space systems

The robustness of uncertain generalized state-space systems is investigated in this paper. By transforming the robustness problem to a rank problem, we provide a simple method to find the exact unidirectional perturbation bounds under which the stability, regularity, and impulse immunity are simultaneously preserved. The bound can be obtained in a closed form. The familiar result developed by Fu-Barmish (1988) becomes a special case of ours.