Title :
On stability RADII of infinite-dimensional discrete-time positive systems
Author_Institution :
Inst. for Dynamical Syst., Univ. of Bremen, Bremen, Germany
Abstract :
For finite-dimensional discrete-time positive systems the complex and real stability radius coincide. This was recently proven by Hinrichsen and Son. In this note we generalize this result to infinite-dimensional discrete-time positive systems on Banach lattices. Furthermore, we provide a simple formula for the stability radius of positive systems which is a counterpart of the finite-dimensional case.
Keywords :
Banach spaces; discrete time systems; lattice theory; multidimensional systems; stability; Banach lattices; complex stability radius; finite-dimensional discrete-time positive systems; infinite-dimensional discrete-time positive systems; real stability radius; stability radii; Discrete-time systems; Eigenvalues and eigenfunctions; Europe; Extraterrestrial measurements; Lattices; Mathematical model; Robustness; infinite-dimensional systems; positive operators; robust stability;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
