Stability radii of delay difference systems under affine parameter perturbations in infinite dimensional spaces

Authors: Bùi Thế Anh, Nguyễn Khoa Sơn, Dương Đặng Xuân Thành,

https://doi.org/10.1016/j.amc.2008.02.041

Publisher, magazine: ,

Publication year: 2008

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Abstract

\[ A_i\mapsto A_i+ \sum^N_{j=1} \delta_{ij} A_{ij},\quad i\in\overline K, \] where \(D_{ij}\in{\mathcal L}(U_{ij}, X)\), \(E_{ij}\in{\mathcal L}(X, Y_{ij})\) and \(A_{ij}\in{\mathcal L}(X)\), \(i\in\overline K\), \(j\in\overline N= \{1,2,\dots, N\}\) are given operators defining the scaling and structure of the parameter uncertainties, and \(A_{ij}\in{\mathcal L}(Y_{ij}, U_{ij})\) and \(\delta_{ij}\) are, respectively, unknown operators and scalar representing parameter uncertainties.

Tags: positive difference system; affine parameter perturbation; stability radius; delay difference systems