Email this article Anisotropy-based bounded real lemma for discrete-time systems with multiplicative noise
- Authors: Yurchenkov A.V.1, Kustov A.Y.1, Kurdyukov A.P.1
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Affiliations:
- Trapeznikov Institute of Control Sciences
- Issue: Vol 93, No 2 (2016)
- Pages: 238-240
- Section: Control Theory
- URL: https://journals.rcsi.science/1064-5624/article/view/223652
- DOI: https://doi.org/10.1134/S1064562416020204
- ID: 223652
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Abstract
A model of a discrete-time system with multiplicative noise is considered. For this model, a condition is derived under which the anisotropic norm of the system is bounded by the anisotropic norm of an auxiliary linear discrete-time stationary system with parametric uncertainty. Conditions for the anisotropic norm of the system with multiplicative noise to be bounded by a given positive number are obtained in terms of solutions of linear matrix inequalities and a single equation.
About the authors
A. V. Yurchenkov
Trapeznikov Institute of Control Sciences
Author for correspondence.
Email: alexander.yurchenkov@gmail.com
Russian Federation, Profsoyuznaya ul. 65, Moscow, 117997
A. Yu. Kustov
Trapeznikov Institute of Control Sciences
Email: alexander.yurchenkov@gmail.com
Russian Federation, Profsoyuznaya ul. 65, Moscow, 117997
A. P. Kurdyukov
Trapeznikov Institute of Control Sciences
Email: alexander.yurchenkov@gmail.com
Russian Federation, Profsoyuznaya ul. 65, Moscow, 117997
