Title :
Linear interval systems: "optimal" stability margin
Author :
Franzè, Gluseppe
Author_Institution :
DEIS, Universita degli studi della Calabria, Rende, Italy
Abstract :
By means of elementary unitary transformations and Gershgoring´s theorem, new sufficient conditions for the stability of interval matrices are proposed. Moreover, this paper presents a schematic algorithm for computing the stability margin of an interval system involving an optimization step, where the objective function is the spectral condition number of the nominal eigenvector matrix
Keywords :
eigenvalues and eigenfunctions; linear systems; matrix algebra; optimisation; stability criteria; Gershgoring theorem; elementary unitary transformations; interval matrices; linear interval systems; nominal eigenvector matrix; optimal stability margin; optimization; stability conditions; stability criteria; Eigenvalues and eigenfunctions; Equations; Linear matrix inequalities; Robust stability; Robustness; Stability analysis; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.981197
