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International Journal of Applied Mathematics and Computer Science

Tytuł artykułu

Quantitative Lp stability analysis of a class of linear time-varying feedback systems

Autorzy Gurfil, P. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
EN The Lp stability of linear feedback systems with a single time-varying sector-bounded element is considered. A sufficient condition for Lp stability, with 1LpL Y, 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.
Słowa kluczowe
PL automatyka   robotyka  
EN Lp stability   time-varying Lur'e systems   functional analysis  
Wydawca Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
Czasopismo International Journal of Applied Mathematics and Computer Science
Rocznik 2003
Tom Vol. 13, no 2
Strony 179--184
Opis fizyczny Bibliogr., rys.
autor Gurfil, P.
  • Department of Mechanical and Aerospace Engineering Princeton University, Princeton, NJ 08544, U.S.A.,
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-article-BPZ1-0002-0016