Stability radii of infinite-dimensional positive systems |
| |
Authors: | Andreas Fischer |
| |
Affiliation: | (1) Institute for Dynamical Systems, University of Bremen, P.O. Box 330 440, D-28334 Bremen, Germany |
| |
Abstract: | We show that for infinite-dimensional discrete-time positive systems the complex and real stability radii coincide. Furthermore, we provide a simple formula for the complex stability radius of positive systems by the associated transfer function. We illustrate our results with an example dealing with a simple type of differential-difference equations.The author would like to thank the Deutsche Forschungsgemeinschaft for its support during this work. |
| |
Keywords: | Infinite-dimensional systems Discrete-time systems Robust stability Stability radii Banach lattices Positive systems Positive operators |
本文献已被 SpringerLink 等数据库收录! |