Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems

IG Vladimirov, P Diamond, P Kloeden - Automation and Remote Control, 2006 - Springer
We consider a problem of robust performance analysis of linear discrete time varying
systems on a bounded time interval. The system is represented in the state-space form. It is …

The sensor network estimation with dropouts: Anisotropy-based approach

AV Yurchenkov, AY Kustov, VN Timin - Automatica, 2023 - Elsevier
This paper is concerned with an anisotropy-based estimation problem for a time-varying
sensor network with an information theoretic description of statistical uncertainty in the …

Growing linear dynamical networks endowed by spectral systemic performance measures

M Siami, N Motee - IEEE Transactions on Automatic Control, 2017 - ieeexplore.ieee.org
We propose an axiomatic approach for design and performance analysis of noisy linear
consensus networks by introducing a notion of systemic performance measure. This class of …

Robust pole placement and random disturbance rejection for linear polytopic systems with application to grid-connected converters

AA Belov - European Journal of Control, 2022 - Elsevier
This paper deals with an application of robust state feedback pole placement for discrete-
time polytopic systems with stochastic disturbance attenuation. A set of stochastic signals is …

Anisotropic norm bounded real lemma for linear discrete time varying systems

EA Maximov, AP Kurdyukov, IG Vladimirov - IFAC Proceedings Volumes, 2011 - Elsevier
We consider a finite horizon linear discrete time varying system whose input is a random
noise with an imprecisely known probability law. The statistical uncertainty is described by a …

Strict anisotropic norm bounded real lemma in terms of inequalities

MM Tchaikovsky, AP Kurdyukov, VN Timin - IFAC Proceedings Volumes, 2011 - Elsevier
This paper is aimed at extending the H∞ Bounded Real Lemma to stochastic systems under
random disturbances with imprecisely known probability distributions. The statistical …

[PDF][PDF] Anisotropy-based bounded real lemma

AP Kurdyukov, EA Maximov… - Proceedings of the 19th …, 2010 - conferences.hu
This paper extends the Bounded Real Lemma of the H∞-control theory to stochastic
systems under random disturbances with imprecisely known probability distributions. The …

In Between the-and-Control Theories

AP Kurdyukov, OG Andrianova, AA Belov… - Automation and Remote …, 2021 - Springer
In this survey, we discuss various approaches to control theory that have arisen in the recent
decades and reflect the desire to reach a trade-off between the LQG/H_2-control theory and …

Анизотропийный анализ робастного качества линейных нестационарных дискретных систем на конечном временном интервале

ИГ Владимиров, Ф Даймонд… - Автоматика и …, 2006 - mathnet.ru
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Static output feedback anisotropic controller design by LMI-based approach: General and special cases

M Tchaikovsky - 2012 American Control Conference (ACC), 2012 - ieeexplore.ieee.org
This paper considers an approach to attenuation of uncertain stochastic disturbances for a
linear discrete time invariant system. The statistical uncertainty is measured in terms of the …