Vibrational control in H_infinity problems
最优化与控制
2007-05-23 v1
摘要
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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引用
@article{arxiv.math/0201053,
title = {Vibrational control in H_infinity problems},
author = {L. A. Safonov and V. V. Strygin},
journal= {arXiv preprint arXiv:math/0201053},
year = {2007}
}
备注
11 pages