Quantitative L^{P} stability analysis of a class of linear time-varying feedback systems

• Autorzy: Pini Gurfil
• Języki publikacji: EN

Abstrakty

EN

The L^{P} stability of linear feedback systems with a single time-varying sector-bounded element is considered. A sufficient condition for L^{P} 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.

Słowa kluczowe

EN

time-varying Lur'e systems; functional analysis; L^{P}-stability

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 2
• Strony: 179-184

Daty

wydano

2003

otrzymano

2002-08-10

poprawiono

2002-10-16

Twórcy

autor

Pini Gurfil

• Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, U.S.A.

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