In this paper, it is shown that a linear uncertain system described by a certain L 1 multiplicative or relative perturbation in its coprime factors that are not necessarily normalized, is the same as the one described by a gap or-gap metric ball. Hence all the stability robustness results for gap or-gap metric uncertainty carry over to this type of coprime factor perturbation. Uncertain systems...

In this paper, it is shown that a linear uncertain system described by a certain L = multiplicative or relative perturbation in its coprime factors that are not necessarily normalized, is the same as the one described by a gap or l-gap metric ball. Hence all the stability robustness results for gap or l-gap metric uncertainty carry over to this type of coprime factor perturbation. Uncertain sys...

Title of Dissertation: Multiplicative Data Perturbation for Privacy Preserving Data Mining Kun Liu, Doctor of Philosophy, 2007 Dissertation directed by: Dr. Hillol Kargupta Associate Professor Department of Computer Science and Electrical Engineering Recent interest in the collection and monitoring of data using data mining technology for the purpose of security and business-related application...