Robust stability of generalized state-space systems

The robustness issue of uncertain generalized state-space systems is investigated. The uncertainties, in polynomial matrix form, appear on not only the state matrix but the derivative state matrix. Based on the linear fraction transformation (LFT) technique, exact bounds of the allowable perturbations for simultaneously preserving regularity, impulse elimination, and stability can be easily obtained by checking stability of some real points only. For the stability robustness issue of generalized state-space systems subject to the considered class of uncertainties, the paper presents the most general result in the literature