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Abstract

In this paper, under assumptions that the nominal linear singular system is regular and impulse-free and has all its finite eigenvalues lying inside certain specified regions, a sufficient condition is proposed to preserve the assumed properties when the structured parameter perturbations are added into the nominal singular system. No restriction is imposed on the shapes of the specified regions. The proposed method is applicable to both the continuous-time case and the discrete-time case. When all the finite eigenvalues are just required to locate in the stable region, the proposed criterion will become the stability robustness criterion. By mathematical analysis, the presented criterion is proved to be less conservative than the existing criterion reported recently.

Keywords

eigenvalue clustering singular systems robustness

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Regional eigenvalue-clustering robustness analysis for singular systems with structured parameter perturbations

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