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A new Gersgorin-type result on the location of the eigenvalues of a given matrix has been proved. On the basis of the inclusions there established, in this paper a new method is proposed for analyzing the stability of a class of uncertain linear systems, characterized by an interval family of dynamical matrices. As a result a new bound to the real parts… (More)
Paolo Pugliese, nato a Cosenza il 23 Aprile 1964.
— In this paper a new method is proposed for computing a lower bound to the stability margin of an interval matrix family, thus providing also a sufficient condition for stability. The method is based on Gershgorin's theorem and on the optimal selection of the eigenvectors of the nominal system: the optimization considerably improves previous bounds… (More)