- Tytuł:
- Quantitative Lp stability analysis of a class of linear time-varying feedback systems
- Autorzy:
- Gurfil, P.
- Powiązania:
- https://bibliotekanauki.pl/articles/908206.pdf
- Data publikacji:
- 2003
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
automatyka
robotyka
Lp stability
time-varying Lur'e systems
functional analysis - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 179-184
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł