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- W47194976 abstract "This paper uses quadratic surface Lyapunov functions to efficiently check if a double integrator in feedback with a saturation nonlinearity has £ 2 -gain less than γ > 0. We show that for many of such systems, the £ 2 -gain is non-conservative in the sense that they are approximately equal to the lower bound obtained by replacing the saturation with a constant gain of 1. These results allow the use of classical analysis tools like μ-analysis or IQCs to analyze systems with double integrators and saturations, including servo systems like some mechanical systems, satellites, hard-disks, CD players, etc." @default.
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- W47194976 date "2002-01-01" @default.
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- W47194976 title "L2-GAIN OF DOUBLE INTEGRATORS WITH SATURATION NONLINEARITY" @default.
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- W47194976 doi "https://doi.org/10.3182/20020721-6-es-1901.00355" @default.
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