Publications
Book Chapters
 Controlled and conditioned invariance for polynomial and rational
feedback systems
(with C. Schilli and V. Levandovskyy)
Advances in Delays and Dynamics @ Springer, Vol. 9,
Algebraic and Symbolic Computation Methods
in Dynamical Systems (2020)
 Algebraic theory of linear systems: a survey
(with W. Seiler)
DifferentialAlgebraic Equations Forum,
Surveys in Differential Algebraic Equations II,
287333 (2015)
Submitted Papers and Work in Progress
 Linear dynamical systems over finite rings (with Y. Rohde),
to appear in Proc. Math. Theory Networks Systems (MTNS), Cambridge (2024)
 Controlled invariant varieties for second order polynomial control
systems
(with M. Harms and M. Herty),
to appear in Proc. Math. Theory Networks Systems (MTNS), Cambridge (2024)
Journal Articles
 The graded Hautus test of controllability for 2D systems
(with D. Pal),
IEEE Control Systems Letters 8, 490495
(2024)
 Invariance of a class of semialgebraic
sets for polynomial systems with dynamic
compensators
(with T. Yuno and T. Ohtsuka), Automatica 122 (2020)
 Attracting and natural invariant varieties for polynomial
vector fields and control systems
(with N. Kruff, C. Schilli, S. Walcher)
Qualitative Theory of Dynamical Systems 19 (2020)
 Classical quasisteady state reduction 
A mathematical characterization
(with A. Goeke and S. Walcher) Physica D 345, 1126 (2017)
 Determining small parameters for quasisteady state
(with A. Goeke and S. Walcher) Journal of Differential Equations 259,
11491180 (2015)
 nD methods for 1D parameterdependent systems
(with S. Walcher) Multidimensional Systems and Signal Processing 26, 10971108 (2015)
 Controlled Invariant Hypersurfaces of Polynomial Control
Systems
(with S. Walcher)
Qualitative Theory of Dynamical
Systems 11, 145158 (2012)
 Computing Quasisteady State Reductions (with A. Goeke et al.)
Journal of Mathematical Chemistry 50, 14951513 (2012)
 A Note on the Kinetics of Suicide Substrates (with A. Goeke et al.)
Journal of Mathematical Chemistry 50, 13731377 (2012)
 Finite Multidimensional Behaviors (with L. Wagner)
Multidimensional Systems and Signal Processing 23, 515 (2012)
 Exact Linear Modeling using Ore Algebras
(with V. Levandovskyy and K. Schindelar)
Journal of Symbolic Computation 46, 11891204 (2011)
 Exact Linear Modeling with Polynomial Coefficients
(with V. Levandovskyy and K. Schindelar)
Multidimensional
Systems and Signal Processing 22, 5565 (2011)
 On the Inverse Syzygy Problem
(with W. Seiler and M. Hausdorf)
Communications in Algebra 38, 20372047 (2010)

On Multidimensional Convolutional
Codes and Controllability Properties
of Multidimensional Systems over Finite Rings
Asian Journal of Control 12, 119126 (2010)
 The Discrete Multidimensional MPUM
Multidimensional Systems and Signal Processing 19,
307321 (2008)
 Behavioral Systems Theory: A Survey
Applied Mathematics and Computer Science 18, 265270 (2008)
 Qualitative Properties and Stabilizability
of a Model for Blood Thrombin Formation
(with S. Orfao et al.)
Mathematical Analysis and Applications 346,
218226 (2008)
 Discrete Multidimensional Systems over
Z/nZ
Systems and Control Letters 56, 702708 (2007)
 Controllability and Extendibility of Continuous Multidimensional
Behaviors
(with P. Rocha) Multidimensional Systems and
Signal Processing 17, 97106 (2006)
 An Algebraic Analysis Approach to Linear
Timevarying
Systems
IMA Journal
of Mathematical Control and Information 23, 113126 (2006)
 Characteristic Frequencies, Polynomialexponential Trajectories,
and Linear Exact Modeling with Multidimensional Behaviors
SIAM Journal on Control and Optimization 44, 11481163 (2005)
 Strong Controllability and Extendibility of Discrete
Multidimensional Behaviors
(with P. Rocha)
Systems and Control Letters 54, 375380 (2005)
 Multidimensional Behaviors: An Algebraic Approach to
Control Theory for PDE
International Journal of Control 77, 812820 (2004)
 On the Extension of Solutions of Systems of Linear Constant PDE
Systems and Control Letters 50, 127133 (2003)

A Constructive Solution to Interconnection and Decomposition Problems
(with V. Lomadze)
SIAM Journal on Control and Optimization 40, 10721086 (2001)
 Extension Modules in Behavioral Linear Systems Theory
Multidimensional Systems and
Signal Processing 12, 309327 (2001)
 Firstorder Representations of Discrete Linear Multidimensional Systems
Multidimensional Systems and Signal Processing 11, 359380 (2000)
 Coprime Factorizations of Multivariate Rational
Matrices
Mathematics of Control, Signals, and
Systems 13, 125139 (2000)
 On Strict System Equivalence for Multidimensional Systems
International Journal of Control 73, 495504 (2000)

Fractional Representations of Linear Systems
(with V. Lomadze)
Systems and Control Letters 39, 275281 (2000)

Notes on the Definition of Behavioural Controllability
(with J. Wood)
Systems and Control Letters 37, 3137 (1999)
 LFT Representations of Parametrized Polynomial Systems
IEEE Trans. Circuits and Systems I 46, 410417 (1999)

A Balanced Canonical Form for DiscreteTime Minimal Systems
(with J. Hoffmann and D. PrätzelWolters)
Linear Algebra and Its Applications 277, 6381 (1998)

Primeness of Multivariate Polynomial Matrices
Systems and Control Letters 29, 139146 (1996)

The Canonical Cauchy Problem for Linear Systems
of Partial Difference
Equations
(with U. Oberst)
Acta Applicandae Mathematicae 31,
249273 (1993)
Proceedings
 Invariant sets for a class of nonlinear control systems
tractable by symbolic computation
(with M. Harms and C. Schilli), Proc. IFAC World Congress, IFAC PapersOnLine 562
(2023)
IFAC Congress Interactive Paper Prize
 On dcollisionfree systems (with M. Harms, S. Bamberger, M.
Herty),
Proc. 8th IFAC Symposium System Structure and Control (SSSC), Montreal (2022)
IFAC SSSC Young Author Award for M. Harms
 Disturbance decoupling for polynomial systems
(with M. Harms), Proc. Math. Theory
Networks Systems (MTNS), 2021
 Computing the cycle structure of finite linear systems
(with H. Giese), Proc. IFAC World Congress, Berlin (2020)
 Collisionfree dynamical systems
(with M. Herty)
Proc. 7th IFAC Symposium System Structure and Control (SSSC), Sinaia (2019)
 Controlled invariance for 1D and 2D timevarying
nonlinear control systems
(with T. Yuno) Proc. Math. Theory Networks Systems (MTNS), Hong Kong (2018)
 Controlled invariance for nonlinear Roesser models
(with C. Schilli) Proc. 10th Int. Workshop
on Multidimensional Systems (NDS), Zielona Gora (2017)
 Polynomial control systems: Invariant sets
given by algebraic equations/inequations
(with M. Harms and C. Schilli)
Proc. IFAC World Congress, Toulouse (2017)

Controlled and conditioned invariant varieties for polynomial
control systems with rational feedback
(with C. Schilli and V. Levandovskyy) Proc. Math. Theory Networks
Systems (MTNS), Minneapolis (2016)
 State representations of finitely
generated nD behaviors over rings
Proc.
9th Int. Workshop on Multidimensional Systems (NDS), Vila Real (2015)
 Quasisteady state  Intuition, perturbation theory and
algorithmic algebra
(with A. Goeke and S. Walcher) Proc.
17th Int. Workshop
on Computer Algebra in
Scientific Computing (CASC),
Springer Lecture Notes in Computer Science 9301 (2015)
 Controlled and conditioned invariant varieties for polynomial control systems
(with C. Schilli and V. Levandovskyy) Proc. Math. Theory
Networks Systems (MTNS), Groningen (2014)
 A solution formula for finitedimensional systems (with B. Belayneh)
Proc. 8th Int. Workshop on Multidimensional Systems (NDS),
Erlangen (2013)
 On periodic solutions of 2d linear difference equations
Proc. 7th Int. Workshop on Multidimensional Systems (NDS),
Poitiers (2011)
 The Inverse Syzygy Problem in Algebraic Systems Theory
(with W. Seiler) PAMM 10 (2010)
 Controlled Invariant Varieties of Polynomial
Control Systems
(with S. Walcher and F. Güclü)
Proc. Math. Theory Networks Systems (MTNS), Budapest (2010)
 On Periodic Solutions of Linear Difference Equations
Proc. Math. Theory Networks Systems (MTNS), Budapest (2010)
 Strongly Autonomous Behaviors over Finite Rings
Proc. 6th
Int. Workshop on Multidimensional Systems
(NDS), Thessaloniki (2009)
 Linear Exact Modeling with Variable Coefficients
(with K. Schindelar and V. Levandovskyy)
Proc. Math. Theory of Networks and Systems (MTNS),
Blacksburg (2008)
 State Representations of Timevarying Linear Systems
Radon Series on Computational and Applied
Mathematics 3, 235251 (2007)
 Obstructions to Genericity in the Study of Parametric
Problems in Control Theory
(with V. Levandovskyy)
Radon Series on Computational and Applied
Mathematics 3, 127149 (2007)
 Autonomy Properties of Multidimensional Linear Systems over Rings
Proc. 5th Int. Workshop on Multidimensional Systems (NDS), Aveiro (2007)
 Linear Exact Modeling from Multivariate Data
GAMMJahrestagung 2006, Berlin, PAMM 6 (2006)
 First Order Representations of Timevarying Linear Systems
Proc. IEEE Int. Symp. ComputerAided Control Systems Design,
Munich (2006)
 Algebraic Systems Theory and Computer Algebraic
Methods for Some Classes
of Linear Control Systems
(with V. Levandovskyy)
Proc. Math. Theory of Networks and
Systems (MTNS), Kyoto (2006)
 Recursive Computation of the Multidimensional MPUM
Proc. Math. Theory of Networks and Systems (MTNS),
Kyoto (2006)
 Computer Algebraic Methods for the Structural Analysis
of
Linear Control Systems
(with V. Levandovskyy)
GAMMJahrestagung 2005, Luxemburg, PAMM 5 (2005)
 An Algebraic Analysis Approach to Linear Timevarying
Behaviors
Proc. 16th IFAC World Congress, Prag (2005)
 Poles, Polynomialexponential Trajectories and the MPUM
Proc. Math.
Theory of Networks and Systems (MTNS), Leuven (2004)
 Strong Controllability of Continuous Multidimensional Behaviors
(with P. Rocha)
Proc. Math. Theory of Networks and Systems (MTNS),
Leuven (2004)
 Autonomy, Controllability, and Extension Modules
GAMMJahrestagung 2002, Augsburg, PAMM 2 (2003)
 The Problem of Causality in Multidimensional Systems Theory
Proc. 8th IEEE Conference on Methods and Models
in Automation and Robotics (MMAR), Stettin (2002)
 Overdetermined Systems
Proc. Math. Theory of Networks and Systems (MTNS),
South Bend (2002)
 On the Lattice of Behaviours
Proc. 6th European Control Conference (ECC),
Porto (2001)
 Some Applications of Gröbner Bases in Multidimensional
Systems Theory
GAMMJahrestagung 2000, Göttingen,
ZAMM 81 (2001)
 Stabilization of multidimensional systems
Proc. WCNA 2000, Catania (2000)

Control and Interconnection Revisited: The Linear Multidimensional Case
(with V. Lomadze) Proc. 2nd International Workshop on
Multidimensional Systems (NDS), Czocha Castle (2000)

Partial Differential Equations of Krull Dimension Zero
(with V. Lomadze)
Proc. Math. Theory of Networks and Systems (MTNS),
Perpignan (2000)
 Firstorder Representations of Multidimensional Behaviours
Proc. Math. Theory of Networks and Systems (MTNS),
Perpignan (2000)

Coprime Factorization in Multidimensional Systems Theory
GAMMJahrestagung 1999, Metz, ZAMM 80 (2000)
 A balanced model reduction method for a class of matrix
inversion problems
with parametric uncertainty
Proc. 38th IEEE Conference on Decision and Control
(CDC), Phoenix (1999)
 Notes on Strict System Equivalence: A Generalization of some
Theorems of Pernebo
to Multidimensional Systems
Proc. 38th IEEE Conference on Decision and Control (CDC),
Phoenix (1999)
 Coprime Factorizations of Bivariate Rational Matrices
Tagungsbericht des GAMMFachausschusses Dynamik und Regelungstheorie,
Kaiserslautern, November 1998
 Linear Fractional Representations of Polynomially Parametrized
Descriptor Systems
Proc. 3rd Portuguese Conference on Automatic Control (Controlo),
Coimbra (1998)

Primeness of Multivariate Laurent Polynomial Matrices
Proc. 4th European Control Conference (ECC),
Brüssel (1997)

A Note on Controllability of Multidimensional Linear Systems
Proc. IFAC Conference on Control of Industrial Systems (CIS),
Belfort (1997)

Primeness Notions in Multidimensional Systems Theory
Proc. 35th IEEE Conference on Decision and Control (CDC) (1996)

Computer Algebraic Methods for Multidimensional Discrete Systems
Proc. 34th IEEE Conference on Decision and Control (CDC),
New Orleans (1995)
Coedited Special Issues
 Special Issue of Multidimensional Systems and Signal Processing
(with A. Quadrat (Ed.))
Volume 26, Issue 2 (2015)
 Special Issue of Multidimensional Systems and Signal Processing
(with K. Galkowski (Ed.))
Volume 19, Issue 34 (2008)
 Special Issue of Linear Algebra and Its Applications
(with A. C. Antoulas, U. Helmke, J. Rosenthal, V. Vinnikov (Eds.))
Volume 425, Issue 23 (2007)
Books
 Algebraic and Symbolic Computation Methods in Dynamical Systems
(with A. Quadrat (Ed.))
Advances in Delays and Dynamics @ Springer, Vol. 9 (2020)
 Algebraic Systems Theory, Behaviors, and Codes
Shaker, Aachen (2010)
 Topics in Multidimensional Linear Systems Theory
Springer Lecture Notes in Control and Information Sciences 256
Springer, London
(2000)

Operators, Systems, and Linear Algebra
(with U. Helmke and D. PrätzelWolters (Eds.))
Teubner, Stuttgart (1997)
Lecture Notes and Miscellanea
 Komm. Algebra, Elem. Zahlentheorie
Vorlesungsskripte, RWTH Aachen (2013)
 Computeralgebra
Vorlesungsskript, RWTH Aachen (2012)
 Lineare Algebra I und II
Vorlesungsskripte, RWTH Aachen (2011)
 Linear and nonlinear control theory: a survey
Oberwolfach Reports 7 (2010)
 Mathematische Grundlagen
Vorlesungsskript, RWTH Aachen (2007)
 Algebraic analysis of timevarying linear behaviors
Oberwolfach Reports 2 (2005)
 Algebraic Systems Theory
Berichte der AG Technomathematik 259 (2004)
 Anwendungen der Computeralgebra in der System und Kontrolltheorie
ComputeralgebraRundbrief 33 (2003)
 Mathematical Modeling: An Introduction (with H. Neunzert)
Electronic lecture notes (2003)
 Introduction to Systems and Control Theory
Berichte der AG Technomathematik 248 (2002)

Mathematical Theory of Neural Networks
(with U. Helmke and D. PrätzelWolters)
Berichte der AG Technomathematik 238 (2001)

Multidimensionale Systemtheorie
Berichte der AG Technomathematik
164 (1996)