Title :
On stability radii of generalized eigenvalue problems
Author :
Van Dooreii, Paul ; Vermaut, Vincent
Author_Institution :
Centre for Syst. Eng. & Appl. Mech., Univ. catholique de Louvain, Louvain-La-Neuve, Belgium
Abstract :
In this paper, we extend a known characterization of the stability radius of a standard eigenvalue problem to the generalized eigenvalue problem as well as that of cyclic pencils occurring in periodic systems. We also extend some of these results to norms different than the 2-norm.
Keywords :
eigenvalues and eigenfunctions; periodic control; stability; cyclic pencils; generalized eigenvalue problems; periodic systems; stability radii; standard eigenvalue problem; Eigenvalues and eigenfunctions; Minimization; Optimization; Periodic structures; Stability criteria; Standards; Linear systems; Robust stability; Stability;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
