TY - GEN
A1 - Gurfil, Pini
A2 - Korbicz, Józef - red.
A2 - Uciński, Dariusz - red.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - 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.
N2 - 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.
N2 - 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.
L1 - http://dlibra.bu.uz.zgora.pl/Content/59031/AMCS_2003_13_2_6.pdf
L2 - http://dlibra.bu.uz.zgora.pl/Content/59031
KW - Lpstability
KW - time-varying Lur'e systems
KW - functional analysis
T1 - Quantitative Lp stability analysis of a class of linear time-varying feedback systems
UR - http://dlibra.bu.uz.zgora.pl/dlibra/docmetadata?id=59031
ER -