# Sergiy Zhuk

## contact information

Research staff member and Master Inventor

Dublin Research Lab, Ireland

+35318269451

Dublin Research Lab, Ireland

+35318269451

## links

### Professional Associations

**Professional Associations:**International Physics and Control Society (IPACS)

### more information

**More information:**Building cognitive IoT solutions using data assimilation | Biophysics-Inspired AI Uses Photons to Help Surgeons Identify Cancer

**2020**

Using Contrast Motion to Generate Patient Specific Blood Flow Simulations during Invasive Coronary Angiography

Sergiy Zhuk, Olivia Smith, Vikas Thondapu, Kerry Halupka, Stephen Moore

physics, hemodynamics, computational fluid dynamics, boundary value problem, blood flow, biomedical engineering, angiography

Sergiy Zhuk, Olivia Smith, Vikas Thondapu, Kerry Halupka, Stephen Moore

*Journal of Biomechanical Engineering-transactions of The Asme**142*(*2*), 2020physics, hemodynamics, computational fluid dynamics, boundary value problem, blood flow, biomedical engineering, angiography

Detectability Analysis and Observer Design for Linear Time Varying Systems

Markus Tranninger, Richard Seeber, Sergiy Zhuk, Martin Steinberger, Martin Horn

Abstract time complexity, observer, mathematics, lyapunov exponent, exponential convergence, computer simulation, computational complexity theory, applied mathematics

Markus Tranninger, Richard Seeber, Sergiy Zhuk, Martin Steinberger, Martin Horn

*IEEE Control Systems Letters*,*pp. 331-336*, 2020Abstract time complexity, observer, mathematics, lyapunov exponent, exponential convergence, computer simulation, computational complexity theory, applied mathematics

**2019**

On Practical Fixed-Time Convergence for Differential Riccati Equations

Sergiy Zhuk, Andrey Polyakov

2019

Abstract observer, observability, matrix, mathematics, lyapunov exponent, hyperbolic partial differential equation, discretization, differential equation, convergence, applied mathematics

Sergiy Zhuk, Andrey Polyakov

2019

Abstract observer, observability, matrix, mathematics, lyapunov exponent, hyperbolic partial differential equation, discretization, differential equation, convergence, applied mathematics

Efficient Uncertainty Quantification of Reservoir Properties for Parameter Estimation and Production Forecasting

Sean A. McKenna, Albert Akhriev, David Echeverria Ciaurri, Sergiy Zhuk

Abstract variogram, uncertainty quantification, statistics, spatial variability, soil science, sampling, prediction interval, mathematics, kriging, gaussian, estimation theory

Sean A. McKenna, Albert Akhriev, David Echeverria Ciaurri, Sergiy Zhuk

*Mathematical Geosciences*, 1-19, 2019Abstract variogram, uncertainty quantification, statistics, spatial variability, soil science, sampling, prediction interval, mathematics, kriging, gaussian, estimation theory

Localised sequential state estimation for advection dominated flows with non-Gaussian uncertainty description

Emanuele Ragnoli, Mykhaylo Zayats, Fearghal ODonncha, Sergiy Zhuk

Abstract pointwise, minimax, mathematics, mathematical analysis, kalman filter, initial value problem, gaussian, errors in variables models, bounding overwatch, bounded function

Emanuele Ragnoli, Mykhaylo Zayats, Fearghal ODonncha, Sergiy Zhuk

*Journal of Computational Physics**387*, 356-375, 2019Abstract pointwise, minimax, mathematics, mathematical analysis, kalman filter, initial value problem, gaussian, errors in variables models, bounding overwatch, bounded function

Recovering Markov Models from Closed-Loop Data

J. P. Epperlein, R. Shorten, S. Zhuk

J. P. Epperlein, R. Shorten, S. Zhuk

*Automatica*, 2019**2018**

Using Observed Contrast Motion During Cardiac Catheterization to Tune Patient Specific Coronary Blood Flow Simulations

Stephen Moore, Olivia Smith, Kerry Halupka, Sergiy Zhuk

medicine, internal medicine, cardiology, cardiac catheterization, blood flow

Stephen Moore, Olivia Smith, Kerry Halupka, Sergiy Zhuk

*2018 Computing in Cardiology Conference (CinC)*medicine, internal medicine, cardiology, cardiac catheterization, blood flow

Towards Real-Time 3D Coronary Hemodynamics Simulations During Cardiac Catheterisation

Stephen Moore, Kerry Halupka, Sergiy Zhuk

medicine, internal medicine, hemodynamics, cardiology, cardiac catheterisation

Stephen Moore, Kerry Halupka, Sergiy Zhuk

*2018 Computing in Cardiology Conference (CinC)*medicine, internal medicine, hemodynamics, cardiology, cardiac catheterisation

A detectability criterion and data assimilation for nonlinear differential equations

Jason Frank, Sergiy Zhuk

Abstract ordinary differential equation, nonlinear system, matrix, mathematics, mathematical optimization, mathematical analysis, lyapunov exponent, exponential growth, differential equation, data assimilation, attractor

Jason Frank, Sergiy Zhuk

*Nonlinearity**31*(*11*), 5235-5257, 2018Abstract ordinary differential equation, nonlinear system, matrix, mathematics, mathematical optimization, mathematical analysis, lyapunov exponent, exponential growth, differential equation, data assimilation, attractor

On the identification of biochemical systems from intermittent and noisy data

Giovanni Russo, Sergiy Zhuk

Abstract system identification, noisy data, minimax, mathematical optimization, electronic circuit, computer science, algorithm

Giovanni Russo, Sergiy Zhuk

*2018 IEEE Conference on Decision and Control (CDC)*,*pp. 3038-3043*Abstract system identification, noisy data, minimax, mathematical optimization, electronic circuit, computer science, algorithm

Asymptotic Output-Feedback Stabilization of Linear Evolution Equations with Uncertain Inputs via Equivalent Control Method

Jonathan P. Epperlein, Orest V. Iftime, Sergiy Zhuk, Andrey Polyakov

Abstract

Jonathan P. Epperlein, Orest V. Iftime, Sergiy Zhuk, Andrey Polyakov

*2018 IEEE Conference on Decision and Control (CDC)*,*pp. 6222-6227*Abstract

Robust State Estimation for Linear Time Varying Lateral Vehicle Dynamics with Unknown Road Curvature

Markus Tranninger, Martin Steinberger, Leonid M. Fridman, Martin Horn, Sergiy Zhuk

Abstract vehicle dynamics, time complexity, robustness, observer, observability, mathematics, curvature, control theory

Markus Tranninger, Martin Steinberger, Leonid M. Fridman, Martin Horn, Sergiy Zhuk

*2018 15th International Workshop on Variable Structure Systems (VSS)*,*pp. 384-389*Abstract vehicle dynamics, time complexity, robustness, observer, observability, mathematics, curvature, control theory

Bayesian Classifier for Route Prediction with Markov Chains

Jonathan Epperlein, Julien Monteil, Mingming Liu, Yingqi Gu, Sergiy Zhuk, Robert Shorten

Jonathan Epperlein, Julien Monteil, Mingming Liu, Yingqi Gu, Sergiy Zhuk, Robert Shorten

*Intelligent Transportation Systems (ITSC), 2018 IEEE 21st International Conference on*
Sliding Mode Tangent Space Observer for LTV Systems with Unknown Inputs

Markus Tranninger, Sergiy Zhuk, Martin Steinberger, Leonid M. Fridman, Martin Horn

Abstract time complexity, tangent space, observer, control theory, computer simulation, computer science

Markus Tranninger, Sergiy Zhuk, Martin Steinberger, Leonid M. Fridman, Martin Horn

*2018 IEEE Conference on Decision and Control (CDC)*,*pp. 6760-6765*Abstract time complexity, tangent space, observer, control theory, computer simulation, computer science

**2017**

Dynamic cloud motion forecasting from satellite images

Sergiy Zhuk, Tigran T. Tchrakian, Albert Akhriev, Siyuan Lu, Hendrik F. Hamann

Abstract vector field, parametric model, optical flow, optical depth, nonlinear optics, mathematical optimization, geostationary orbit, geodesy, fluid dynamics, convection diffusion equation, computer science

Sergiy Zhuk, Tigran T. Tchrakian, Albert Akhriev, Siyuan Lu, Hendrik F. Hamann

*2017 IEEE 56th Annual Conference on Decision and Control (CDC)*,*pp. 3107-3112*Abstract vector field, parametric model, optical flow, optical depth, nonlinear optics, mathematical optimization, geostationary orbit, geodesy, fluid dynamics, convection diffusion equation, computer science

Solutions of differential-algebraic equations as outputs of LTI systems: Application to LQ control problems

Mihaly Petreczky, Sergiy Zhuk

Abstract ordinary differential equation, optimal control, matrix, mathematics, mathematical optimization, lti system theory, differential algebraic equation, control theory

Mihaly Petreczky, Sergiy Zhuk

*Automatica**84*(*84*), 166-173, 2017Abstract ordinary differential equation, optimal control, matrix, mathematics, mathematical optimization, lti system theory, differential algebraic equation, control theory

Where computer vision can aid physics: dynamic cloud motion forecasting from satellite images

Zhuk, Sergiy and Tchrakian, Tigran and Akhriev, Albert and Lu, Siyuan and Hamann, Hendrik

Abstract

Zhuk, Sergiy and Tchrakian, Tigran and Akhriev, Albert and Lu, Siyuan and Hamann, Hendrik

*arXiv preprint arXiv:1710.00194*, 2017Abstract

Learning Markov Models from Closed Loop Data-sets

Epperlein, Jonathan and Shorten, Robert and Zhuk, Sergiy

Abstract

Epperlein, Jonathan and Shorten, Robert and Zhuk, Sergiy

*arXiv preprint arXiv:1706.06359*, 2017Abstract

A detectability criterion and data assimilation for non-linear differential equations

Frank, Jason and Zhuk, Sergiy

Abstract

Frank, Jason and Zhuk, Sergiy

*arXiv preprint arXiv:1711.05039*, 2017Abstract

Exponentially convergent data assimilation algorithm for Navier-Stokes equations

Zhuk, Sergiy and Tchrakian, Tigran T and Frank, Jason

Abstract

Zhuk, Sergiy and Tchrakian, Tigran T and Frank, Jason

*American Control Conference (ACC), 2017*,*pp. 3249--3256*Abstract

A Fast Distributed Data-Assimilation Algorithm for Divergence-Free Advection

Tchrakian, Tigran and Zhuk, Sergiy

Abstract

Tchrakian, Tigran and Zhuk, Sergiy

*arXiv preprint arXiv:1707.07316*, 2017Abstract

Solutions of differential--algebraic equations as outputs of LTI systems: Application to LQ control problems

Petreczky, Mih{\'a}ly and Zhuk, Sergiy

Abstract

Petreczky, Mih{\'a}ly and Zhuk, Sergiy

*Automatica**84*, 166--173, Elsevier, 2017Abstract

Sliding Mode Control Design for Linear Evolution Equations with Uncertain Measurements and Exogenous Perturbations

Zhuk, Sergiy and Polyakov, Andrey and Nakonechnyi, Olexander

Abstract

Zhuk, Sergiy and Polyakov, Andrey and Nakonechnyi, Olexander

*20th IFAC World Congress*, 2017Abstract

**2016**

On Source-Term Parameter Estimation for Linear Advection-Diffusion Equations with Uncertain Coefficients

Zhuk, Sergiy and Tchrakian, Tigran T and Moore, Stephen and Ordón͂ez-Hurtado, Rodrigo and Shorten, Robert

Abstract

Zhuk, Sergiy and Tchrakian, Tigran T and Moore, Stephen and Ordón͂ez-Hurtado, Rodrigo and Shorten, Robert

*SIAM Journal on Scientific Computing**38*(*4*), A2334--A2356, SIAM, 2016Abstract

Filter comparison for estimation on discretized PDEs modeling traffic: Ensemble Kalman Filter and minimax filter

Seo, Toru and Tchrakian, Tigran T and Zhuk, Sergiy and Bayen, Alexandre M

Abstract

Seo, Toru and Tchrakian, Tigran T and Zhuk, Sergiy and Bayen, Alexandre M

*Decision and Control (CDC), 2016 IEEE 55th Conference on*,*pp. 3979--3984*Abstract

A Multi-scale Approach to Acoustic Full Waveform Inversion in 2D

Akhriev, A and Moore, S and Zhuk, S

Abstract

Akhriev, A and Moore, S and Zhuk, S

*78th EAGE Conference and Exhibition 2016-Workshops*Abstract

Worst-case multi-objective error estimation and adaptivity

van Brummelen, EH and Zhuk, S and van Zwieten, GJ

Abstract

van Brummelen, EH and Zhuk, S and van Zwieten, GJ

*arXiv preprint arXiv:1604.04541*, 2016Abstract

Note on Minimax Sliding Mode Control Design for Linear Systems

Zhuk, Sergiy and Polyakov, Andrey and Nakonechnyi, Olexander

Abstract

Zhuk, Sergiy and Polyakov, Andrey and Nakonechnyi, Olexander

*IEEE Transactions on Automatic Control*, IEEE, 2016Abstract

Minimax Observers for Linear Differential-Algebraic Equations

Zhuk, Sergiy and Petreczky, Mihaly

Abstract

Zhuk, Sergiy and Petreczky, Mihaly

*IEEE Transactions on Automatic Control*, IEEE, 2016Abstract

Minimax observer for sliding mode control design

Zhuk, Sergiy and Polyakov, Andrey

Zhuk, Sergiy and Polyakov, Andrey

*Recent Trends in Sliding Mode Control*, 119, IET, 2016**2015**

A Macroscopic Traffic Data-Assimilation Framework Based on the Fourier-Galerkin Method and Minimax Estimation

Tigran T. Tchrakian, Sergiy Zhuk

Abstract traffic flow, projection method, minimax, mathematics, mathematical optimization, hyperbolic partial differential equation, galerkin method, ensemble kalman filter, discretization, data assimilation

Tigran T. Tchrakian, Sergiy Zhuk

*IEEE Transactions on Intelligent Transportation Systems**16*(*1*), 452-464, 2015Abstract traffic flow, projection method, minimax, mathematics, mathematical optimization, hyperbolic partial differential equation, galerkin method, ensemble kalman filter, discretization, data assimilation

General Optimization Framework for Robust and Regularized 3D Full Waveform Inversion

Becker, Stephen and Horesh, Lior and Aravkin, Aleksandr and Zhuk, Sergiy

Abstract

Becker, Stephen and Horesh, Lior and Aravkin, Aleksandr and Zhuk, Sergiy

*arXiv preprint arXiv:1504.04677*, 2015Abstract

A macroscopic traffic data-assimilation framework based on the Fourier--Galerkin method and minimax estimation

Tchrakian, Tigran T and Zhuk, Sergiy

Abstract

Tchrakian, Tigran T and Zhuk, Sergiy

*IEEE Transactions on Intelligent Transportation Systems**16*(*1*), 452--464, IEEE, 2015Abstract

Localised filtering for transport models

Ragnoli, Emanuele and Zhuk, Sergiy and Zayats, Mykhaylo and Hartnett, Michael

Ragnoli, Emanuele and Zhuk, Sergiy and Zayats, Mykhaylo and Hartnett, Michael

*Decision and Control (CDC), 2015 IEEE 54th Annual Conference on*,*pp. 449--454*
Output-based sliding mode control design for linear plants with multiplicative disturbances: The minimax approach

Zhuk, Sergiy and Polyakov, Andrey

Zhuk, Sergiy and Polyakov, Andrey

*Control Conference (ECC), 2015 European*,*pp. 277--282*
Shock Capturing Data Assimilation Algorithm for 1D Shallow Water Equations

Seshu Tirupathi, Tigran Tchrakian, Sergiy Zhuk, Sean McKenna

Seshu Tirupathi, Tigran Tchrakian, Sergiy Zhuk, Sean McKenna

*Advances in Water Resources*, 2015
Parked Cars and Riccati Equations

S.Zhuk, R.Shorten, T.Tchrakian, S.Moore and R.Ordonez

S.Zhuk, R.Shorten, T.Tchrakian, S.Moore and R.Ordonez

*17th Yale Workshop on Adaptive and Learning Systems*, Yale University, 2015
Robust traffic density estimation using Discontinuous Galerkin formulation of a macroscopic model

Tigran T. Tchrakian, Sergiy Zhuk and Alberto C. Nogueira Jr.

Tigran T. Tchrakian, Sergiy Zhuk and Alberto C. Nogueira Jr.

*IEEE ITS*, 2015
Parameter estimation for Euler equations with uncertain inputs

Sergiy Zhuk and Tigran Tchrakian

Sergiy Zhuk and Tigran Tchrakian

*IEEE Decision and Control Conference*, 2015
General Optimization Framework for Robust and Regularized 3D FWI

S.R. Becker, L. Horesh, A. Aravkin, E. van den Berg and S. Zhuk

S.R. Becker, L. Horesh, A. Aravkin, E. van den Berg and S. Zhuk

*European Association of Geoscientists & Engineers*, 2015
Semi-Discrete Matrix-Free Formulation of 3D Elastic Full Waveform Inversion Modeling

Stephen Moore, Devi Sudheer Chunduri, Sergiy Zhuk, Tigran Tchrakian, Ewout van den Berg, Albert Akhriev, Alberto Costa Nogueira Junior, Andrew Rawlinson, Lior Horesh

Stephen Moore, Devi Sudheer Chunduri, Sergiy Zhuk, Tigran Tchrakian, Ewout van den Berg, Albert Akhriev, Alberto Costa Nogueira Junior, Andrew Rawlinson, Lior Horesh

*EuroPar 2015*
Source estimation for Wave Equations with uncertain parameters

Sergiy Zhuk, Stephen Moore, Alberto Costa Nogueira Junior, Andrew Rawlinson, Tigran Tchrakian, Lior Horesh, Aleksandr Aravkin and Albert Akhriev

Sergiy Zhuk, Stephen Moore, Alberto Costa Nogueira Junior, Andrew Rawlinson, Tigran Tchrakian, Lior Horesh, Aleksandr Aravkin and Albert Akhriev

*European Control Conference*, 2015
Data assimilation for linear parabolic equations: minimax projection method

Zhuk, Sergiy and Frank, Jason and Herlin, Isabelle and Shorten, Robert

Abstract

Zhuk, Sergiy and Frank, Jason and Herlin, Isabelle and Shorten, Robert

*SIAM Journal on Scientific Computing**37*(*3*), A1174--A1196, SIAM, 2015Abstract

Output-based Sliding Mode Control Design for Linear Plants with Multiplicative Disturbances: the minimax approach

Sergiy Zhuk and Andrey Polyakov

Sergiy Zhuk and Andrey Polyakov

*European Control Conference*, 2015**2014**

Symplectic M{"o}bius integrators for LQ optimal control problems

Frank, Jason and Zhuk, Sergiy

Abstract

Frank, Jason and Zhuk, Sergiy

*Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on*,*pp. 6377--6382*Abstract

Parked cars as a service delivery platform

Cogill, Randall and Gallay, Olivier and Griggs, Wynita and Lee, Chungmok and Nabi, Zubair and Ordonez, Rodrigo and Rufli, Martin and Shorten, Robert and Tchrakian, Tigran and Verago, Rudi and others

Cogill, Randall and Gallay, Olivier and Griggs, Wynita and Lee, Chungmok and Nabi, Zubair and Ordonez, Rodrigo and Rufli, Martin and Shorten, Robert and Tchrakian, Tigran and Verago, Rudi and others

*Connected Vehicles and Expo (ICCVE), 2014 International Conference on*,*pp. 138--143*
Time evolution of reachability sets for dynamical systems

Sergiy Zhuk

Sergiy Zhuk

*University of Edinburgh (seminar)*, 2014
Gaussian Process Based Optimal Seismic Experimental Design

Michael Gelbart, Aleksandr Aravkin, Lior Horesh, Sergiy Zhuk

Michael Gelbart, Aleksandr Aravkin, Lior Horesh, Sergiy Zhuk

*SEG workshop on full wave inversion*, 2014
Robust source estimation for elastic wave equations

Sergiy Zhuk, Steve Moore, James Korte, Andrew Rawlinson, Tigran Tchrakian, Lior Horesh, Aleksandr Aravkin

Sergiy Zhuk, Steve Moore, James Korte, Andrew Rawlinson, Tigran Tchrakian, Lior Horesh, Aleksandr Aravkin

*SEG workshop on FWI*, 2014
On Output-based Sliding Mode Control Design Using Minimax Observer

Sergiy Zhuk and Andrey Polyakov

Sergiy Zhuk and Andrey Polyakov

*IEEE VSS workshop*, 2014
Symplectic Mobius integrators for LQ optimal control problems

J. Frank and S. Zhuk

J. Frank and S. Zhuk

*IEEE Decision and Control Conference*, 2014
Domain Decomposition for a Linear Advection-Diffusion Equation by means of minimax filtering

E. Ragnoli, S. Zhuk, M. Zayats and M. Hartnett

E. Ragnoli, S. Zhuk, M. Zayats and M. Hartnett

*ECC*, 2014
A Macroscopic Traffic Data Assimilation Framework Based on Fourier-Galerkin Method and Minimax Estimation

Tigran T. Tchrakian and Sergiy Zhuk

Abstract (special issue)

Tigran T. Tchrakian and Sergiy Zhuk

*IEEE Intelligent transportation systems*, IEEE, 2014Abstract (special issue)

Infinite horizon optimal control and stabilizability for linear descriptor systems

Mihaly Petreczky and Sergiy Zhuk

Abstract

Mihaly Petreczky and Sergiy Zhuk

*preprint*, 2014Abstract

A Spectral Element Solution of the Wave Equation in 3D

Sergiy Zhuk, Steve Moore, James Korte, Andrew Rawlinson, Tigran Tchrakian, Lior Horesh, Aleksandr Aravkin

Sergiy Zhuk, Steve Moore, James Korte, Andrew Rawlinson, Tigran Tchrakian, Lior Horesh, Aleksandr Aravkin

*SEG workshop on FWI*, 2014**2013**

State estimation for linear parabolic equations: the minimax projection method

Zhuk, Sergiy and Frank, Jason and Herlin, Isabelle and Shorten, RN

2013 - pdfs.semanticscholar.org, submitted

Abstract

Zhuk, Sergiy and Frank, Jason and Herlin, Isabelle and Shorten, RN

2013 - pdfs.semanticscholar.org, submitted

Abstract

A 3D Optimal Interpolation Assimilation Scheme of HF Radar Current Data into a Numerical Ocean Model

Ragnoli, Emanuele and Zhuk, Sergiy and Donncha, Fearghal O and Suits, Frank and Hartnett, Michael

Abstract

Ragnoli, Emanuele and Zhuk, Sergiy and Donncha, Fearghal O and Suits, Frank and Hartnett, Michael

*EGU General Assembly Conference Abstracts*,*pp. 7267*, 2013Abstract

Minimax filtering for sequential aggregation: Application to ensemble forecast of ozone analyses

Mallet, Vivien and Nakonechny, Alexander and Zhuk, Sergiy

Abstract

Mallet, Vivien and Nakonechny, Alexander and Zhuk, Sergiy

*Journal of Geophysical Research: Atmospheres**118*(*19*), Wiley Online Library, 2013Abstract

Infinite horizon optimal control and stabilizability of linear descriptor systems

Petreczky, Mihaly and Zhuk, Sergiy and Douai, France

Petreczky, Mihaly and Zhuk, Sergiy and Douai, France

*arXiv preprint arXiv:1312.7547*, 2013
Infinite horizon control and minimax observer design for linear daes

Zhuk, Sergiy and Petreczky, Mihaly

Zhuk, Sergiy and Petreczky, Mihaly

*Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on*,*pp. 7004--7009*
Minimax Observers for Linear DAEs

Sergiy Zhuk and Mihaly Petreczky

Abstract submitted

Sergiy Zhuk and Mihaly Petreczky

*preprint*, 2013Abstract submitted

Parameter identification and state estimation for linear parabolic equations

Sergiy Zhuk

Abstract

Sergiy Zhuk

*Stochastic Modelling of Multiscale Systems*, 2013Abstract

3D Optimal Interpolation Assimilation Scheme of HF Radar Current Data into a Numerical Ocean Model

Ragnoli, Emanuele; Zhuk, Sergiy; Donncha, Fearghal O.; Suits, Frank; Hartnett, Michael

Ragnoli, Emanuele; Zhuk, Sergiy; Donncha, Fearghal O.; Suits, Frank; Hartnett, Michael

*EGU General Assembly*, 2013
A Macroscopic Traffic Data Assimilation Framework Based on Fourier-Galerkin Method and Minimax Estimation

Tigran T. Tchrakian and Sergiy Zhuk

Tigran T. Tchrakian and Sergiy Zhuk

*IEEE Intelligent transportation systems*, 2013
Infinite horizon control and observer design for linear DAEs

Sergiy Zhuk and Mihaly Petreczky

Sergiy Zhuk and Mihaly Petreczky

*IEEE Decision and Control Conference*, ieeexplorer.ieee.org, 2013
Minimax projection method for linear evolution equations

Sergiy Zhuk

Sergiy Zhuk

*IEEE Decision and Control Conference*, ieeexplorer.ieee.org, 2013
Minimax filtering for sequential aggregation: application to ensemble forecast of ozone analysis

Vivien Mallet, Alexander Nakonechny and Sergiy Zhuk

Vivien Mallet, Alexander Nakonechny and Sergiy Zhuk

*Journal of Geophysical Research*, 2013
Kalman duality principle for a class of ill-posed minimax control problems with linear differential-algebraic constraints

Sergiy Zhuk

to appear

Sergiy Zhuk

*Applied Mathematics & Optimization*, 2013to appear

**2012**

Ensemble forecast of analyses with uncertainty estimation

Vivien Mallet, Gilles Stoltz, Sergiy Zhuk, Alexander Nakonechniy

2012

Abstract statistics, minimax, kalman filter, forecast verification, forecast skill, ensemble learning, ensemble forecasting, econometrics, data assimilation, consensus forecast, computer science

Vivien Mallet, Gilles Stoltz, Sergiy Zhuk, Alexander Nakonechniy

2012

Abstract statistics, minimax, kalman filter, forecast verification, forecast skill, ensemble learning, ensemble forecasting, econometrics, data assimilation, consensus forecast, computer science

Minimax optical flow estimation from a sequence of 2D images

Herlin, Isabelle and Nakonechnyi, Olexander and Zhuk, Sergiy

Abstract

Herlin, Isabelle and Nakonechnyi, Olexander and Zhuk, Sergiy

*XX International Conference on Problems of Decision Making under Uncertainties (PDMU)*, 2012Abstract

An optimal interpolation scheme for assimilation of HF radar current data into a numerical ocean model

Emanuele Ragnoli, Sergiy Zhuk, Fearghal O'Donncha, Frank Suits, Michael Hartnett

Emanuele Ragnoli, Sergiy Zhuk, Fearghal O'Donncha, Frank Suits, Michael Hartnett

*Oceans, 2012*,*pp. 1--5*
Divergence-Free Motion Estimation

Isabelle Herlin, Dominique Bereziat, Nicolas Mercier, Sergiy Zhuk

Isabelle Herlin, Dominique Bereziat, Nicolas Mercier, Sergiy Zhuk

*Lecture Notes in Computer Science: Computer Vision ECCV12*,*pp. 15-27*, Springer, 2012
Surface flow dynamics within an exposed wind-driven bay: Combined HF radar observations and model simulations

Fearghal O Donncha, Emanuele Ragnoli, Sergiy Zhuk, Frank Suits, Michael Hartnett

Fearghal O Donncha, Emanuele Ragnoli, Sergiy Zhuk, Frank Suits, Michael Hartnett

*Oceans, 2012*,*pp. 1--8*
Minimax state estimation for linear stationary differential-algebraic equations

Sergiy Zhuk

Sergiy Zhuk

*16th IFAC Symposium on System Identification*, 2012**2011**

LEARNING REDUCED MODELS FOR MOTION ESTIMATION ON OCEAN SATELLITE IMAGES

Isabelle, Herlin and Dominique, B{\'e}r{\'e}ziat and Karim, Drifi and Sergiy, Zhuk

Abstract

Isabelle, Herlin and Dominique, B{\'e}r{\'e}ziat and Karim, Drifi and Sergiy, Zhuk

*Экологическая безопасность прибрежной и шельфовой зон моря**2*, 66--78, Федеральное государственное бюджетное учреждение науки Морской гидрофизический институт РАН, 2011Abstract

Inverse problems for linear ill-posed differential-algebraic equations with uncertain parameters

Zhuk, Sergiy

Abstract

Zhuk, Sergiy

*Discrete Contin. Dyn. Syst*, 1467--1476, 2011Abstract

Inverse problems for linear ill-posed equations with uncertain parameters

Sergiy Zhuk

Sergiy Zhuk

*Dynamical Systems, Differential Equations and Applications*, AIMS, 2011
Reduced minimax filtering by means of differential-algebraic equations

Vivien Mallet and Sergiy Zhuk

Vivien Mallet and Sergiy Zhuk

*PhysCon*, 2011**2010**

Inverse problems for ill-posed linear differential-algebraic equations with variable coefficients

Sergiy Zhuk

Sergiy Zhuk

*Int. Workshop on Operator theory and Applications*, TU Berlin, 2010
Reduced minimax state estimation

Vivien Mallet and Sergiy Zhuk

Vivien Mallet and Sergiy Zhuk

*Technical Report RR-7500*, INRIA, 2010
Minimax state estimation for linear discrete-time differential-algebraic equations

Sergiy Zhuk

Sergiy Zhuk

*Automatica J. IFAC**46*, 1785--1789, 2010**2009**

Recursive state estimation for non-causal discrete-time linear descriptor systems

Sergiy Zhuk

Sergiy Zhuk

*IFAC Conference on Control Applications of Optimization*, 2009
Estimation of the states of a dynamical system described by linear equations with unknown parameters

Sergiy Zhuk

Sergiy Zhuk

*Ukrainian Mathematical Journal*, Springer, 2009**2008**

Recursive state estimation for non-causal discrete-time descriptor systems with uncertain parameters

Sergiy Zhuk

Sergiy Zhuk

*CDDEA2008*
State estimation for dynamic system described by linear equation with closed operator in Hilbert space

Sergiy Zhuk

Sergiy Zhuk

*Differential Equations and Topology*, 2008**2007**

On some properties of linear mapping induced by linear descriptor differential equation

Sergiy Zhuk

Sergiy Zhuk

*Modern analysis and applications*, 2007
Closedness and normal solvability of an operator generated by a degenerate linear differential equation with variable coefficients

Sergiy Zhuk

Sergiy Zhuk

*Nonlinear Oscillations*, 464--480, Springer, 2007**2006**

Minimax estimates for linear differential-algebraic equations

Sergiy Zhuk

Sergiy Zhuk

*Doctoral dissertation*, Taras Shevchenko University of Kyiv, 2006**2005**

Minimax estimation for linear descriptor differential equations

Sergiy Zhuk

Sergiy Zhuk

*Journal of Applied and Computational Mathematics*, Springer, 2005**2004**

Minimax estimation of solutions of systems of linear algebraic equations with singular matrices

Sergiy Zhuk

Sergiy Zhuk

*J. of Automation and Information Science*, Begell House, 2004