Abstract

A new approach is proposed to analyze the stability robustness of generalized state-space systems with structured perturbations. The presented method is computationally simple to use and can easily be calculated by computer. As far as we are aware, this paper seems to be the first one to solve the robust stability problems for generalized state-space systems with structured uncertainties. The robust stability problem of generalized state-space systems is more complicated than that of regular state-space systems because it needs consideration of not only stability robustness but also system regularity and impulse elimination. The latter two ones need not be considered in regular state-space systems.

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