List of
Publications of Thomas Cluzeau
Submitted / In preparation papers
Ø Cluzeau,
T., Pinto, C., Quadrat, A.,.
An algorithmic proof of the coherence of the ring of polynomial ordinary integro-differential operators. Accepted to ISSAC 2025.
Ø Cluzeau, T., Pinto, C., Quadrat,
A.,. Polynomial solutions for general linear polynomial ordinary integro-differential systems. Accepted to
ISSAC 2025.
Ø Cluzeau, T., Pinto, C., Quadrat, A., The effective Cramer property of the ring of
polynomial ordinary integro-differential operators. In preparation,
2025.
Ø
Bachelier, O., Cluzeau, T., Helman, Q., Silva, F. J., Yeganefar, Ni.
On the state feedback stabilization of implicit Roesser models. Accepted to
IFAC-SSSC 2025.
Ø
Bachelier, O., Cluzeau, T., Helman, Q., Silva, F. J., Yeganefar, Ni.
Equivalence between attractivity and asymptotic stability for continuous 2D
linear Roesser models. Accepted to IFAC-SSSC 2025.
Ø
Bachelier, O., Cluzeau, T., Helman, Q., Silva, F. J., Yeganefar, Ni.
Reflections on attractivity versus stability for 2D nonlinear models. Accepted
to IFAC-SSSC 2025.
Ø Chenavier, C., Cluzeau, T., Quadrat, A., Formal integrability of partial differential
systems: implementation and applications. Accepted to
IFAC-SSSC 2025.
2025
Ø Chenavier, C., Cluzeau, T., Musson-Leymarie,
A. Topological
closure of formal power series ideals and application to topological rewriting
theory.
Journal of Symbolic Computation, 129, 2025. https://doi.org/10.1016/j.jsc.2024.102416
2024
Ø Cluzeau, T., Moroz, G., Quadrat, A.,. Toward the
computation of stabilizing controllers of multidimensional systems.
Proceedings of Mathematical Theory of Networks and Systems
(MTNS) 2024, 19-23 August 2024, Cambridge, UK. IFAC-PapersOnLine,
58(17), 433-438, 2024. https://doi.org/10.1016/j.ifacol.2024.10.208
Ø Cluzeau, T., Pinto, C., Quadrat, A.,. Effective
characterization of evaluation ideals of the ring of integro-differential
operators.
Proceedings of the International Symposium on Symbolic and
Algebraic Computations (ISSAC), p. 117-125, 2024. https://dl.acm.org/doi/10.1145/3666000.3669682
Ø
Barkatou, M. A., Cluzeau, T., On the computation
of rational solutions of linear integro-differential
equations with polynomial coefficients.
Journal of Symbolic Computation, 121, 2024. https://doi.org/10.1016/j.jsc.2023.102252
2023
Ø Cluzeau, T., Pinto, C., Quadrat, A., Further results on the computation of the
annihilator of integro-differential operators.
Proceedings of the International Symposium on Symbolic and
Algebraic Computations (ISSAC), p. 182-190, 2023. https://dl.acm.org/doi/10.1145/3597066.3597083
Ø
Chartouny, M., Cluzeau, T., Quadrat, A., Algorithmic study of the algebraic parameter
estimation problem for a class of perturbations.
Maple Transactions, Volume 3, Num 1, 2023. https://doi.org/10.5206/mt.v2i2.14467
Ø
Bachelier, O., Cluzeau, T., Rigaud, A., Silva, F. J., Yeganefar, Ni., A Necessary and Sufficient Condition for Asymptotic
Stability of Fornasini-Marchesini Models.
Linear Algebra and its Applications, Volume 658, Issue 1, pp
206-232, 2023.
https://www.sciencedirect.com/science/article/abs/pii/S0024379522003913
Ø
Bachelier, O., Cluzeau, T., Rigaud, A., Silva, F. J., Yeganefar, Na., Yeganefar, Ni., On the connections between various stability notions
for linear 2D discrete models.
IEEE Transactions in Automatic Control, 68(12), 7919-7926, 2023. https://ieeexplore.ieee.org/document/10077742
Ø
Bachelier, O., Cluzeau, T., Mehdi, D., Rigaud, A., Yeganefar, Ni., New tests for the stability of 3D Roesser
models.
Mathematics of Control,
Signals, and Systems, 35, 619-639, 2023. https://doi.org/10.1007/s00498-023-00352-7
Ø
Bachelier, O., Cluzeau, T., Rigaud, A., Silva, F. J., Yeganefar, Ni., On exponential stability of a class of descriptor
continuous linear 2D Roesser models.
International Journal of Control, 96(6), 1582-1593, 2023. https://doi.org/10.1080/00207179.2022.2057872
2022
Ø Chenavier, C., Cluzeau, T., Quadrat, A., Computation of Koszul
homology and application to involutivity of partial differential systems,
Proceedings of the 8th IFAC
Symposium on System Structure and Control, 17th IFAC Workshop on Time Delay
Systems, 5th IFAC Workshop on Linear Parameter Varying Systems, Montreal,
Canada, September 27-30, 2022.
Ø Barkatou, M. A., Cluzeau, T., On polynomial solutions
of linear integro-differential equations,
Proceedings of the 8th IFAC Symposium
on System Structure and Control, 17th IFAC Workshop on Time Delay Systems, 5th
IFAC Workshop on Linear Parameter Varying Systems, Montreal, Canada, September
27-30, 2022.
Ø
Bachelier, O., Cluzeau, T., Rigaud, A., Silva, F. J., Yeganefar, Ni., Equivalence between different stability definitions
for 2D linear discrete Roesser models,
Procedings of the IEEE Conference on Decision and Control (CDC),
Cancun, Mexico, 6-9 December, 2022.
Ø Bachelier, O., Cluzeau, T., Transforming some
classes of interconnected systems and ladder circuits into equivalent classical
2D models,
Proceedings of Mathematical
Theory of Networks and Systems (MTNS), Bayreuth, Germany, 12-16
September, 2022.
2021
Ø Bachelier, O., Cluzeau, T., Mehdi, D., Yeganefar, Ni., New tests for the stability of 2D Roesser
models,
IEEE Transactions on Automatic Control, Volume 66, Issue 1, pp.
406-412, 2021.
https://doi.org/10.1109/TAC.2020.2981344
Ø
Boudellioua,
M. S., Cluzeau, T., On the connections between two classical
notions of multidimensional systems equivalence,
International Journal of Control, Volume 94, Issue 11, pp
3046-3053, 2021.
https://www.tandfonline.com/doi/abs/10.1080/00207179.2020.1749939
Ø
Barkatou, M. A., Cluzeau, T., El Hajj, A., On rational solutions of pseudo-linear systems,
Lecture Notes in Computer Science (23rd International Workshop, CASC
2021, Sochi, Russia, September 13-17, 2021, Proceedings), Volume 12865, 2021.
https://link.springer.com/chapter/10.1007/978-3-030-85165-1_4
Ø
Chartouny, M., Cluzeau, T., Quadrat, A., On the inverse Cauchy problem for linear ordinary
differential equations,
Proceedings in Applied Mathematics and Mechanics, Volume 21,
Issue 1, 2021.
https://hal.archives-ouvertes.fr/hal-03530281/
2020
Ø
Barkatou, M. A., Cluzeau, T., Di Vizio,
L., Weil, J.-A., Reduced forms of linear differential systems and the
intrinsic Galois-Lie algebra of Katz,
Symmetry, Integrability and Geometry : Methods and Applications
(SIGMA), 16, 54-67, 2020. arXiv:1912.10567v1
Ø
Bachelier, O.,, Cluzeau, T., Silva, F. J., Yeganefar, Ni., Stability of one-dimensioned spatially
interconnected systems,
Multidimensional Systems and
Signal Processing, Volume 31, Issue 3, pp 1005-1028, 2020.
https://link.springer.com/article/10.1007/s11045-019-00695-y
Ø
Cluzeau, T., Koutschan, C., Quadrat, A., Tõnso, M., M., Effective algebraic analysis approach to
linear systems over Ore algebras (.pdf)
Special Issue “Algebraic and Symbolic Computation Methods in
Dynamical Systems” in the Springer series Advances in Delays and Dynamics,
Volume 9 : 3-52, 2020.
Ø
Cluzeau, T., Quadrat, A., Equivalence of Linear Functional Systems (.pdf)
Special Issue “Algebraic and Symbolic Computation Methods in
Dynamical Systems” in the Springer series Advances in Delays and Dynamics,
Volume 9 : 53-86 2020.
2019
Ø Barkatou, M. A., Cluzeau, T., El Hajj, A., PseudoLinearSystems: A
Maple Package for Studying Systems of Pseudo-Linear Equations (.pdf)
Maple Conference, Waterloo,
Canada, October 15-17, 2019.
Ø Bouzidi, Y., Cluzeau, T., Quadrat, A., Rouillier, F., On the effective computation of
stabilizing controllers of 2D systems (.pdf)
Maple Conference, Waterloo,
Canada, October 15-17, 2019.
Ø Bouzidi, Y., Cluzeau, T., Quadrat, A., On the computation of stabilizing controllers of
multidimensional systems (.pdf)
Proceeding of the Joint IFAC Conference 7th SSSC 2019 and 15th
TDS 2019, 9-11 September 2019, Sinaia, Romania.
Ø Barkatou, M. A., Cluzeau, T., El Hajj, A., Simple Forms and Rational Solutions of Pseudo-Linear
Systems (.pdf),
Proceedings of the
International Symposium on Symbolic and Algebraic Computations (ISSAC),
Beijing, China, 15-18 July 2019.
Ø Bachelier, O., Cluzeau, T., Mehdi, D., Yeganefar, Ni, New LMI Conditions for the Stability of 2D
Roesser Models (.pdf)
Proceedings of the European Control Conference (ECC 2019),
Naples, Italy, 25-28 June 2019.
Ø Bachelier, O., Cluzeau, T., Yeganefar, Ni, On the stability and the stabilization of linear
discrete repetitive processes (.pdf)
Multidimensional Systems and Signal Processing, Volume 30, Issue
2, pp 963-987, 2019.
http://link.springer.com/article/10.1007/s11045-018-0583-3
2018
Ø Cluzeau, T., Hossein Poor, J., Quadrat, A., Raab, C., Regensburger, G., Symbolic Computation
for Integro-Differential-Time-Delay Operators with
Matrix Coefficients (.pdf)
Proceedings of the 14th IFAC Workshop on Time Delay Systems
(TDS), Budapest, Hungary, June 28-30, 2018.
Ø Bachelier, O., Cluzeau, T., Roesser form of (wave) linear
repetitive processes and structural stability (.pdf)
Proceedings of the European Control Conference (ECC 2018),
Limassol, Cyprus, 12-15 June 2018.
Ø Bachelier, O., Cluzeau, T., David, R., Silva, F. J., Yeganefar, Na, Yeganefar, Ni, Structural stability, asymptotic stability, and
exponential stability for linear multidimensional discrete systems: the good,
the bad, and the ugly, (.pdf)
International Journal of
Control, Volume 91, Issue 12, pp 2714-2725, 2018.
http://www.tandfonline.com/doi/full/10.1080/00207179.2017.1390258
Ø Barkatou, M. A., Cluzeau, T., El Bacha, C., On the computation of simple forms and regular
solutions of linear difference systems (.pdf)
Advances in Computer Algebra, Springer Proceedings in
Mathematics & Statistics, Volume 226, In Honour
of Sergei Abramov's 70th Birthday
(Waterloo Workshop on Computer Algebra 2016, Waterloo, Ontario,
Canada).
2017
Ø David, R., Bachelier, O., Cluzeau, T., Yeganefar, Ni, Asymptotic and Structural Stability for a Linear
2D Discrete Roesser Model, (.pdf)
Proceedings of the 10th International Workshop on
Multidimensional (nD) Systems (nDS
2017), Zielona Góra, Poland, 13-15 September 2017.
Ø Bachelier, O., Cluzeau, T., Digression on the Equivalence
between Linear 2D Discrete Repetitive Processes and Roesser Models, (.pdf)
Proceedings of the 10th International Workshop on
Multidimensional (nD) Systems (nDS
2017), Zielona Góra, Poland, 13-15 September 2017.
Ø
Bachelier, O., Cluzeau, T., David, R., Yeganefar, N., An algebraic approach to the observer-based
feedback stabilization of linear 2D discrete models, (.pdf)
Proceeding of the 20th World Congress of the International
Federation of Automatic Control (IFAC), Toulouse, France, 9-14 July 2017.
Ø
David, R., Bachelier, O., Cluzeau, T., Silva, F. J., Yeganefar, Na., Yeganefar, Ni, Structural stability and asymptotic stability for
multidimensional systems: a counterexample, (.pdf)
Proceeding of the 20th World Congress of the International
Federation of Automatic Control (IFAC), Toulouse, France, 9-14 July 2017.
Ø Bouzidi, Y., Cluzeau, T., Moroz, G., Quadrat, A., Computing effectively stabilizing controllers for
a class of nD systems, (.pdf)
Proceeding of the 20th World Congress of the International
Federation of Automatic Control (IFAC), Toulouse, France, 9-14 July 2017.
Ø
Bachelier, O., Cluzeau, T., David, R., Yeganefar, N., Structural Stabilization of Linear 2D Discrete
Systems Using Equivalence Transformations, (.pdf)
Multidimensional Systems and Signal Processing, Volume 28, Issue
4, pp 1629–1652, 2017.
2016
Ø Barkatou, M. A., Cluzeau, T., Di Vizio, L., Weil, J.-A., Computing the Lie Algebra of the Differential
Galois Group of a Linear Differential System, (.pdf)
Proceedings of the International Symposium on Symbolic and
Algebraic Computations (ISSAC), july 22-22, Waterloo,
Canada, 63-70, 2016.
Ø Bachelier, O., Cluzeau, T., David, R., Yeganefar, N., Structural Stability and Equivalence of Linear 2D
Discrete Systems (.pdf).
Proceedings of the IFAC Joint
Symposium SSSC & TDS, Istanbul, Turkey, 2016.
Ø Bostan, A., Chèze, G., Cluzeau, T., Weil, J.-A., Efficient algorithms for computing rational first
integrals and Darboux polynomials of planar
polynomial vector fields (hal, arxiv),
Mathematics of Computation 85: 1393-1425, 2016.
2015
Ø
Barkatou, M. A., Cluzeau, T., El Bacha, C., A New Approach for Computing Regular Solutions of
Linear Difference Systems (.pdf),
Lecture Notes in Computer
Science 9301 (Proceedings of Computer Algebra in Scientific Computing (CASC) 2015, september 14-18, Aachen,
Germany), 72-86, 2015.
Ø Cluzeau, T., A Constructive Algebraic Analysis Approach to the
Equivalence of Multidimensional Linear Systems (.pdf),
Proceedings of the 9th international Workshop on Multidimensional (nD)
Systems (nDS'15), Vila Real (Portugal), 07-09/09/2015.
Ø
Cluzeau, T., Quadrat, A., A New Insight into Serre's Reduction Problem (.pdf),
Linear Algebra and its Applications (LAA), 483: 40-100,
2015.
Ø Barkatou, M. A., Cluzeau, T., Jalouli,
A., Formal Solutions of Linear Differential Systems with Essential
Singularities in their Coefficients (.pdf),
Proceedings of the International Symposium on Symbolic and Algebraic
Computations (ISSAC), july 6-9, Bath, UK, 45-52,
2015.
2014
Ø Cluzeau, T., Quadrat, A., A New Insight into Serre's Reduction Problem (.pdf),
Rapport de Recherche INRIA (RR-8629), 2014.
2013
Ø Chèze, G., Cluzeau, T., On the nonexistence of Liouvillian first integrals for generalized Liénard polynomial differential systems (.pdf),
Journal of Nonlinear Mathematical Physics, Volume 20 (4),
475-479, 2013.
Ø Cluzeau, T., Dolean, V., Nataf, F., Quadrat, A., Symbolic techniques for domain decomposition
methods (.pdf),
Lecture Notes in Computational Science and Engineering (LNCSE),
Volume 91, 27-38, Springer 2013.
Ø
Cluzeau, T., Quadrat, A., Isomorphisms and Serre's reduction of linear
systems (.pdf),
Proceedings of the 8th international Workshop on Multidimensional (nD)
Systems (nDS'13), Erlangen (Germany), 09-11/09/2013.
Ø Cluzeau, T., Quadrat, A., Further Results on the Decomposition and
Serre's Reduction of Linear Functional Systems (.pdf),
Proceedings of the 5th Symposium on System Structure and Control (IFAC
Joint Conference), Grenoble France, 04-06/02/2013.
2012
Ø Cluzeau, T., Quadrat, A., Serre's reduction of linear partial differential
systems with holonomic adjoints (.pdf),
Journal of Symbolic Computation (JSC), 47(10), 1192-1213, 2012.
Ø
Barkatou, M. A., Cluzeau, T., El Bacha, C., Weil, J.-A., Computing Closed-Form Solutions of Integrable
Connections (.pdf),
Proceedings of the
International Symposium on Symbolic and Algebraic Computations (ISSAC), july 22-25, Grenoble, France, 43-50, 2012.
Ø Cluzeau, T., Dolean, V., Nataf, F., Quadrat, A., Symbolic methods for developing new domain
decomposition algorithms (.pdf),
Rapport de Recherche INRIA (RR-7953), 2012.
2011
Ø Barkatou, M. A., Cluzeau, T., El Bacha, C., Simple forms of higher-order linear differential
systems and their applications in computing regular solutions (.pdf),
Journal of Symbolic Computation (JSC), 46(6), 633-658,
2011.
Ø
Cluzeau, T., Quadrat, A., A constructive version of Fitting's theorem on
isomorphisms and equivalences of linear systems (.pdf),
Proceedings of the 7th international Workshop on Multidimensional (nD)
Systems (nDS'11), Poitiers (France), 05-07/09/2011.
Ø Chakhar, A., Cluzeau, T., Quadrat, A., An algebraic analysis approach to certain classes
of nonlinear systems of partial differential equations (.pdf),
Proceedings of the 7th international Workshop on Multidimensional (nD)
Systems (nDS'11), Poitiers (France), 05-07/09/2011.
Ø
Barkatou, M. A., Cluzeau, T., El Bacha, C., Quadrat, A., Monge parametrizations and integration of
rectangular linear differential systems (.pdf),
Effective Methods in Algebraic Geometry (MEGA) 2011, Stockholm (Sweden), 30/05-4/06/2011.
Ø Cluzeau, T., Dolean, V., Nataf, F., Quadrat, A., Symbolic techniques for domain decomposition
methods (.pdf),
Proceedings of the 20th international conference on Domain Decomposition methods (DD20), San Diego, California
(USA), 07-11/02/2011.
2010
Ø
Cluzeau, T., Quadrat, A., Serre's reduction of linear partial differential
systems based on holonomy (.pdf),
Proceedings of Mathematical Theory of Networks and Systems (MTNS)
2010, Budapest (Hungary), 5-9/07/2010.
Ø
Cluzeau, T., Quadrat, A., Module structure of classical multidimensional
systems appearing in mathematical physics (.pdf),
Proceedings of Mathematical Theory of Networks and Systems (MTNS)
2010, Budapest (Hungary), 5-9/07/2010.
Ø Cluzeau, T., Quadrat, A., Symmetries, parametrizations and potentials of
multidimensional linear systems (.pdf),
Proceedings of Mathematical Theory of Networks and Systems (MTNS)
2010, Budapest (Hungary), 5-9/07/2010.
Ø Barkatou, M. A., Cluzeau, T., El Bacha, C., Frobenius Method for Computing Power Series
Solutions of Linear Higher-Order Differential Systems (.pdf),
Proceedings of Mathematical Theory of Networks and Systems (MTNS)
2010, Budapest (Hungary), 5-9/07/2010.
Ø Cluzeau, T., Quadrat, A., Serre's reduction of linear partial differential
systems with holonomic adjoints (.pdf),
Rapport de Recherche INRIA (RR-7486), 2010.
2009
Ø
Cluzeau, T., Quadrat, A., OreMorphisms: A homological algebraic package for
factoring, reducing and decomposing linear functional systems (.pdf),
Lecture Notes in Control and Information Sciences (LNCIS),
Topics in Time-Delay Systems: Analysis, Algorithms and Control, J.-J. Loiseau,
W. Michiels, S.-I. Niculescu, R. Sipahi, Springer,
179-195, Août 2009.
Ø Cluzeau, T., Quadrat, A., On algebraic simplifications of linear functional
systems (.pdf),
Lecture Notes in Control and Information Sciences (LNCIS),
Topics in Time-Delay Systems: Analysis, Algorithms and Control, J.-J. Loiseau,
W. Michiels, S.-I. Niculescu, R. Sipahi, Springer,
167-178, Août 2009.
Ø Barkatou, M. A., Cluzeau, T., El Bacha, C., Algorithms for regular solutions of higher-order
linear differential systems (.pdf),
Proceedings of the International Symposium on Symbolic and
Algebraic Computations (ISSAC), july 28-31, Seoul,
Republic of Korea, 7-14, 2009.
Ø Jaafar, M., Aupetit-Berthelemot, C., Cluzeau, T., Teyssier, J.-P., Improved mathematical model for the investigation
of deep traps into semicondictor devices :
application to Metamorphic HEMT (.pdf),
74th ARFTG Microwave Measurement Symposium, System Modeling and
Measurement for High Accuracy Verification, December 1st to 4th, 2009,
Broomfield/Boulder, CO.
2008
Ø Cluzeau, T., Hubert, É., Probabilistic algorithms for computing resolvent
representation of regular differential ideals (.pdf),
Applicable Algebra in Engineering, Communication and Computing
(AAECC), 19(5), 365-392, 2008.
Ø Cluzeau, T., Keller, J., Schneeweiss,
W., An efficient algorithm for computing the reliability of consecutive-k-out-of-n:F systems (.pdf),
IEEE Transactions on Reliability, 57(1): 84-87, March 2008.
Ø Cluzeau, T., Quadrat, A., Factoring and decomposing a class of linear
functional systems (.pdf),
Linear Algebra and its Applications (LAA), 428(1): 324-381,
2008.
2006
Ø Cluzeau, T., van Hoeij, M., Computing hypergeometric solutions of
linear difference equations (.pdf),
Applicable Algebra in Engineering, Communication and Computing
(AAECC), 17(2), 83-115, 2006.
Ø Bostan, A., Chyzak, F., Cluzeau, T., Salvy, B., Low complexity algorithms for linear
recurrences (.pdf),
Proceedings of the International Symposium on Symbolic and
Algebraic Computations (ISSAC), july 9-12, Genova,
Italy, 31-38, 2006.
Ø Cluzeau, T., Quadrat, A., Using morphism computations for factoring
and decomposing general linear functional systems (.pdf),
Proceedings of Mathematical
Theory of Networks and Systems (MTNS) 2006, Kyoto (Japon),
24-28/07/2006.
Ø Cluzeau, T., Quadrat, A., Using morphism computations for factoring
and decomposing general linear functional systems (.pdf),
Rapport de Recherche INRIA (RR-5942), 2006.
2005
Ø Barkatou, M. A., Cluzeau, T., Weil, J.-A., Factoring partial differential systems in
positive characteristic (.pdf),
Differential Equations and Symbolic Computations (DESC) Book, Éditor D. Wang, Birkhäuser, 2005.
Ø Bostan, A., Cluzeau, T., Salvy, B., Fast algorithms for polynomial solutions of
linear differential equations (.pdf),
Proceedings of the International Symposium on Symbolic and
Algebraic Computations (ISSAC), july 24-27, Beijing,
China, 45-52, 2005.
2004
Ø Cluzeau, T., van Hoeij, M., A modular algorithm for computing the
exponential solutions of a linear differential operator (.pdf),
Journal of Symbolic Computation (JSC), 38(3): 1043-1076, 2004.
Ø Cluzeau, T., Algorithmique
modulaire des équations différentielles linéaires (PhD.pdf),
Thèse de l'Université de Limoges soutenue le 23 septembre 2004.
2003
Ø Cluzeau, T., Hubert, É., Resolvent representation for regular
differential ideals (.pdf),
Applicable Algebra in Engineering, Communication and Computing
(AAECC), 13(5): 395-425, 2003.
Ø Cluzeau, T., Factorization of differential systems in
characteristic p (.pdf),
Proceedings of the International Symposium on Symbolic and
Algebraic Computations (ISSAC), august 3-6, Philadelphia, Pennsylvania, 58-65,
2003.
2001
Ø Cluzeau, T., Hubert, É., Resolvent representation for regular
differential ideals (.pdf),
Rapport de Recherche INRIA (RR-4200), 2001.