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Vibrational control in H_infinity problems

L. A. Safonov·V. V. Strygin
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Abstract

We consider the application of the theory of vibrational control to H_infinity-problems. We study the possibility of introduction of high-frequency parametric vibrations in order to decrease the minimal attainable value of the H_infinity-norm. We prove the existence of the stabilizing solution of the Riccati equation with quickly oscillating coefficients. This solution is found using the averaging technique as a series of the small parameter.

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L. A. Safonov, V. V. Strygin. 2002-01-08. Vibrational control in H_infinity problems. https://arxiv.org/abs/math/0201053

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