• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Book chapter
  • Non-iterative Solution to Robust Anisotropy-based Analysis and Control Problems for Uncertain Descriptor Systems
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
July 9, 2026
HSE Economists Use Search Queries to Forecast Birth Rates
Researchers from the HSE Faculty of Economic Sciences have shown that the accuracy of birth rate forecasts for Russia can be improved by almost 50% by incorporating the dynamics of online search queries related to pregnancy and childbirth into forecasting models. In the best-performing models, the forecasting error fell from 4.6% to 3.2%. The findings have been published in Populations and Economics.
July 8, 2026
HSE Researchers Discover Who Eats Out in Russia-And Why
Around one-third of Russians (31.3%) rarely eat out or buy ready-made meals. The core group of active consumers—those who eat out or purchase prepared food almost every day or several times a week—accounts for only about 9% of the population. These are the findings of a study conducted by the HSE Institute for Social Policy. According to the researchers eating out is no longer a marker of high social status in Russia.
July 8, 2026
HSE University and RREDA Join Forces to Support 2026 Renewable Energy of the Planet Competition
HSE University and the Russia Renewable Energy Development Association (RREDA) have signed a partnership and information cooperation agreement to support Renewable Energy of the Planet—2026, a national competition with international participation for students and early-career researchers. Applications are open on the competition's website until September 20, 2026.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Non-iterative Solution to Robust Anisotropy-based Analysis and Control Problems for Uncertain Descriptor Systems

P. 455–460.
Andrianova O., Белов А. А.

The problem of robust admissibilization with guar-
anteed random disturbance attenuation level for discrete-time
time-invariant (LDTI) descriptor systems with norm-bounded
uncertainties is considered. The input disturbance is supposed
to be a stationary Gaussian sequence with bounded mean
anisotropy level. The solutions to analysis and robust state-
feedback control problems are formulated in terms of matrix
inequalities. The obtained conditions are convex over all decision
variables and do not require inverse matrix searching. Compar-
ison between iterative [1], [2] and non-iterative methods is given.

Language: English
Full text
DOI
Keywords: suboptimal controlrobust controlStochastic controldescriptor systemsuncertain linear systemsrobust performancecolored noisestate-feedback control

In book

2019 23rd International Conference on System Theory, Control and Computing (ICSTCC)
IEEE, 2019.
Similar publications
An Algorithm for Optimizing a Nonlinear System, Based on the Behavior of the Hamiltonian on the Optimal Trajectory
Anna P. Presnova, Valery N. Afanas’ev, Artem N. Burtsev, , in: 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021. Berlin, Germany, 11-13 October 2021Vol. 54. Issue 19.: Elsevier, 2021. P. 359–364.
Added: September 15, 2022
Optimal Control of Car Active Suspension Control under Delays
Semion A., Presnova A., , in: 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB).: IEEE, 2022. Ch. 60 P. 1–4.
In this paper algorithm of control synthesis for car active suspension with delays is examined. The problem is formulated in terms of differential games. External perturbation such as road surface unevenness is considered as actions of some opponent. The commonly known model of quarter car active suspension system will be expanded with delays under 0.5s ...
Added: September 13, 2022
Tridimensional autonomous motion robust control of submersible ship based on averaged sub-gradient integral sliding mode approach
Hernandez-Sanchez A., Andrianova O., Poznyak A. et al., International Journal of Systems Science 2021 Vol. 52 No. 3 P. 541–554
The design of a state feedback and robust controller for regulating the tridimensional (3D) movement of autonomous underwater mobile crafts (AUMCs). The controller design is based on the application of Averaged Sub-Gradient Integral Sliding Mode Realisation (ASGISMR). The application of the ASGISMR yields the solution of the closed-loop extreme seeking control for a non-strictly convex ...
Added: October 21, 2020
Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications, Edinburgh, July 2017. Selected, Revised and Extended Contributions
Springer, 2019.
This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs.  The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial differential equations (SPDEs). These equations are of fundamental ...
Added: September 24, 2020
Suboptimal Control of Nonlinear Dynamic System with Unlimited Transition Process Time
Presnova A., Afanasiev V., IFAC-PapersOnLine 2019 Vol. 52 No. 17 P. 42–47
In this paper, we consider the issue of synthesizing optimal control of nonlinear dynamic systems in case of a problem with an unspecified time of the transition process. To solve this problem, an algorithmic method for constructing a suboptimal control is suggested. The basis of this method is the behavior of the Hamiltonian on the ...
Added: January 8, 2020
Robust state-feedback H_\infty control for discrete-time descriptor systems with norm-bounded parametric uncertainties
Belov A., Andrianova O., International Journal of Systems Science 2019 Vol. 50 No. 6 P. 1303–1312
This paper deals with a state feedback H ∞ control problem for linear time-invariant discrete-time descriptor systems with norm-bounded parametric uncertainties. To this end, bounded real lemma (BRL) is extended on the class of uncertain descriptor systems. The control design procedure based on the conditions of BRL for uncertain descriptor systems is proposed. Numerical examples are included to illustrate ...
Added: May 2, 2019
Algorithmic method for modeling the optimal treatment of patients with HIV
Presnova A., Journal of Physics: Conference Series 2019 No. 1163 P. 1–6
The mathematical model describing the dynamics of HIV in the human body is a nonlinear system of differential equations. This model takes into account the effect of drugs on the body. Thus, it is possible to obtain ”optimal” treatment regimens for patients, which cause minimal harm to the body. In the work for constructing suboptimal ...
Added: March 28, 2019
Robust Anisotropy-Based Control for Uncertain Descriptor Systems with Transient Response Constraints
Andrianova O., Belov A., IFAC-PapersOnLine 2018 Vol. 51 No. 32 P. 515–520
In this paper, a problem of robust anisotropy-based control with regional pole assignment for descriptor systems with norm-bounded parametric uncertainties is concerned. The goal is to find a state-feedback control law, which guarantees desirable disturbance attenuation level from stochastic input with unknown covariance to controllable output of the closed-loop system, and ensures, that all finite ...
Added: December 16, 2018
On Optimal Anisotropy-Based Control Problem for Discrete-Time Descriptor Systems
Belov A., Andrianova O., , in: 2018 26th Mediterranean Conference on Control and Automation (MED).: [б.и.], 2018. P. 661–666.
This paper is dedicated to optimal state-feedback control problem for discrete-time descriptor systems in presence of “colored” noise with known mean anisotropy level. Here “colored” noise stands for a stationary Gaussian sequence, generated by a linear shaping filter from the Gaussian white noise sequence. The control goal is to find a state feedback control law which makes the closed-loop system admissible ...
Added: July 16, 2018
Robust performance analysis of linear discrete-time systems in presence of colored noise
Andrianova O., Belov A., European Journal of Control 2018 No. 42 P. 38–48
In this paper, linear discrete-time time-invariant (LDTI) normal and descriptor systems with norm-bounded parametric uncertainties are under consideration. The input signal is supposed to be a “colored” noise with bounded known mean anisotropy level (spectral color). The conditions of anisotropic norm boundedness for such class of systems are derived. The algorithm is based on convex optimization technique. A ...
Added: June 10, 2018
Anisotropy-based Analysis for Descriptor Systems with Norm-Bounded Parametric Uncertainties
Belov A., Olga G. Andrianova, , in: PROCEEDINGS OF 2016 INTERNATIONAL CONFERENCE “STABILITY AND OSCILLATIONS OF NONLINEAR CONTROL SYSTEMS” (PYATNITSKIY’S CONFERENCE).: IEEE, 2016. P. 1–4.
In this paper, linear discrete-time descriptor systems with norm-bounded parametric uncertainties are under consideration. The input signal is supposed to be a “colored” noise with bounded mean anisotropy. Sufficient conditions of anisotropic norm boundedness for such class of systems are given. ...
Added: February 6, 2018
On Anisotropy-Based Control Problem with Regional Pole Assignment for Descriptor Systems
Belov A. A., Andrianova O., , in: Proceedings of the 2017 21st International Conference on Process Control, PC 2017.: IEEE, 2017. P. 12–17.
In this paper, anisotropy-based control problem with regional pole assignment for descriptor systems is investigated. The purpose is to find a state-feedback control law, which guarantees desirable disturbance attenuation level from stochastic input with unknown covariance to controllable output of the closed-loop system, and ensures, that all finite eigenvalues of the closed-loop system belong to the given region inside the unit ...
Added: February 6, 2018
A New Anisotropy-Based Control Design Approach for Descriptor Systems Using Convex Optimization Techniques
Belov A. A., Andrianova O., IFAC-PapersOnLine 2015 Vol. 48 No. 11 P. 372–377
The paper presents a solution of anisotropy-based suboptimal controller design problem for descriptor systems. The goal is to design a state feedback and full information control for the system such that the closed-loop system is admissible, and its anisotropic norm (mean anisotropy level is set) is bounded by a given positive real value. A numerical ...
Added: October 20, 2017
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit