Vibrational control in H_infinity problems

Details Vibrational control in H_infinity problems Vibrational control in H_infinity problems

2002-01-08

arxiv.org/abs/math/0201053v1

Mathematics

Optimization and Control

11 pages

Scientific paper

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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