Korbicz, Józef - red. ; Uciński, Dariusz - red.
Quantitative Lp stability analysis of a class of linear time-varying feedback systems
Group publication title:
Subject and Keywords:
Lpstability ; time-varying Lur'e systems ; functional analysis
The Lp stability of linear feedback systems with a single time-varying sector-bounded element is considered. A sufficient condition for Lp stability, with 1 ? p ? ?, is obtained by utilizing the well-known small gain theorem. ; Based on the stability measure provided by this theorem, quantitative results that describe output-to-input relations are obtained. It is proved that if the linear time-invariant part of the system belongs to the class of proper positive real transfer functions with a single pole at the origin, the upper bound on the output-to-input ratio is constant. ; Thus, an explicit closed-form calculation of this bound for some simple particular case provides a powerful generalization for the more complex cases. The importance of the results is illustrated by an example taken from missile guidance theory.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 13, number 2 (2003) ; click here to follow the link