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

Pini Gurfil — 2003

International Journal of Applied Mathematics and Computer Science

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...

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