Control of discrete-time descriptor systems

AA Belov, OG Andrianova, AP Kurdyukov - Cham: Springer International …, 2018 - Springer
Descriptor linear systems theory is an important part of control systems theory and has
attracted much attention in the last decades. Many researchers pay a great attention to …

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 …

State-space formulas for anisotropic norm of linear discrete time varying stochastic system

AY Kustov - 2018 15th International Conference on Electrical …, 2018 - ieeexplore.ieee.org
In this paper, the problem of computation of anisotropic norm of linear discrete time varying
finite horizon stochastic system in state-space terms is solved. The relationship with the …

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 …

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 …

Robust control design for suppressing random exogenous disturbances in parametrically uncertain linear systems

AA Belov, OG Andrianova - Automation and Remote Control, 2020 - Springer
The design problems of robust static controllers for discrete-time systems with norm-
bounded parametric uncertainties and random input disturbances are considered. The …

Towards an extension and normalization of the random vector anisotropy magnitude

KR Chernyshov - International Conference On Systems Engineering, 2021 - Springer
In the context of the anisotropic control theory (IG Vladimirov, AP Kurdjukov, AV Semyonov,
Anisotropy of Signals and the Entropy of Linear Stationary Systems, Doklady Math., 1995 …

On the anisotropy-based bounded real lemma formulation for the systems with disturbance-term multiplicative noise

AY Kustov, AP Kurdyukov, AV Yurchenkov - IFAC-PapersOnLine, 2016 - Elsevier
This paper is an attempt to present the methodologically correct approach of the anisotropy-
based theory for discrete-time systems with multiplicative noise. A formulation of sufficient …

Anisotropy-based optimal filtering in linear discrete time invariant systems

IG Vladimirov - arXiv preprint arXiv:1412.3010, 2014 - arxiv.org
This paper is concerned with a problem of robust filtering for a finite-dimensional linear
discrete time invariant system with two output signals, one of which is directly observed …

Anisotropy-based analysis for finite horizon time-varying systems with non-centered disturbances

AY Kustov, VN Timin - Automation and Remote Control, 2017 - Springer
We consider the problem of anisotropy-based analysis of the robust quality linear discrete
time-varying systems with finite horizon under random external disturbance. Uncertainty in …