# 13100

## Автор(ов):

3

Параметры публикации

Доклад

## Название:

Strict Anisotropic Norm Bounded Real Lemma in Terms of Inequalities

Да

## ISBN/ISSN:

978-3-902661-93-7

## Наименование конференции:

• 18th IFAC World Congress (Milano, Italy, 2011)

## Наименование источника:

• Proceedings of the 18th IFAC World Congress (Milano, 2011)

• Milan

• IFAC

2011

## Страницы:

2332-2337 http://www.ifac-papersonline.net/Detailed/48247.html
Аннотация
This paper is aimed at extending the H∞ Bounded Real Lemma to stochastic systems under random disturbances with imprecisely known probability distributions. The statistical uncertainty is measured in entropy theoretic terms using the mean anisotropy functional. The disturbance attenuation capabilities of the system are quantiﬁed by the anisotropic norm which is a stochastic counterpart of the H∞ norm. A state-space suﬃcient criterion for the anisotropic norm of a linear discrete time invariant system to be bounded by a given threshold value is derived. The resulting Strict Anisotropic Norm Bounded Real Lemma involves an inequality on the determinant of a positive deﬁnite matrix and a linear matrix inequality. As is shown, these convex constraints can be approximated by two linear matrix inequalities.

## Библиографическая ссылка:

Чайковский М.М., Курдюков А.П., Тимин В.Н. Strict Anisotropic Norm Bounded Real Lemma in Terms of Inequalities / Proceedings of the 18th IFAC World Congress (Milano, 2011). Milan: IFAC, 2011. С. 2332-2337 http://www.ifac-papersonline.net/Detailed/48247.html.