List
of Publications of Thomas Cluzeau
Submitted papers and Preprints
Ø Chenavier, C., Cluzeau, T., Quadrat, A., Presenting
isomorphic finitely presented modules by equivalent matrices: a constructive
approach. (preprint)
Ø Barkatou, M. A., Cluzeau,
T., On the simultaneous triangularization of a set of matrices.
(preprint)
Ø Barkatou, M. A., Cluzeau,
T., Efficient algorithms for rational solutions of linear integro-differential equations. (preprint)
Ø Cluzeau, T., Pinto, C., Quadrat, A., Further
results on the computation of the annihilator of integro-differential
operators. (preprint)
2023
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, 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,
2023. https://doi.org/10.1007/s00498-023-00352-7
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.
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, 2022.
https://www.tandfonline.com/doi/full/10.1080/00207179.2022.2057872
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.