List of Publications of Thomas Cluzeau

 

 

 

Submitted papers and Preprints

           

·       Bachelier, O., Cluzeau, T.,   Transforming some classes of interconnected systems and ladder circuits into equivalent classical 2D models. (In preparation)

·       Chenavier, C., Cluzeau, T., Quadrat, A., Presenting isomorphic finitely presented modules by equivalent matrices: a constructive approach. (In preparation)

·       Barkatou, M. A., Cluzeau, T.,  On the simultaneous triangularization of a set of matrices. (Submitted)

·       Boudellioua, M. S.,  Cluzeau, T.,  On the connections between two classical notions of multidimensional systems equivalence. (To appear in International Journal of Control)

·       Bachelier, O., Cluzeau, T., Mehdi, D., Yeganefar, Ni, New non conservative tests for the structural stability of discrete, continuous or mixed 2D Roesser models. (To appear in IEEE Transactions in Automatic Control)

·       Bachelier, O., Cluzeau, T., Silva, F. J., Yeganefar, Ni, Stability of one-dimensioned spatially interconnected systems. (To appear in Multidimensional Systems and Signal Processing)

·       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. (arXiv:1912.10567v1, Submitted)

 

2019  

 

·       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.

·       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.

·       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.

·       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.

·       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.

·       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

 

·       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.

·       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.

·       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

·       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

 

·       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.

·       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.

·       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.

·       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.

·       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.

·       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.

·       Cluzeau, T., Quadrat, A., Equivalence of Linear Functional Systems, (.pdf)
Rapport de Recherche INRIA (RR-9000), 2016.
To appear in the Special Issue ”Algebraic and Symbolic Computation Methods in Dynamical Systems” in the Springer series Advances in Delays and Dynamics, 2017.

·       Cluzeau, T., Koutschan, C., Quadrat, A., Tõnso, M., Effective algebraic analysis approach to linear systems over Ore algebras, (.pdf)
Rapport de Recherche INRIA (RR-8999), 2016.
To appear in the Special Issue ”Algebraic and Symbolic Computation Methods in Dynamical Systems” in the Springer series Advances in Delays and Dynamics, 2017.

 

2016

 

·       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.

·       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.

·       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

 

·       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.

·       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.

·        Cluzeau, T., Quadrat, A., A New Insight into Serre's Reduction Problem (.pdf),
 Linear Algebra and its Applications (LAA), 483: 40-100, 2015.

·       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 

 

·       Cluzeau, T., Quadrat, A., A New Insight into Serre's Reduction Problem (.pdf),
Rapport de Recherche INRIA (RR-8629), 2014.

 

2013

 

·       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.

·       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.

·       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.

·       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

 

·       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.

·       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.

·       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

·       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. 

·       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.

·       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.

·       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.

·       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

 

·       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.

·       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.

·       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.

·       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.

·       Cluzeau, T., Quadrat, A., Serre's reduction of linear partial differential systems with holonomic adjoints (.pdf),
Rapport de Recherche INRIA (RR-7486), 2010.

 

2009

 

·       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.

·       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.

·       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.

·       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

 

·       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. 

·       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.

·       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

 

·       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.

·       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.

·       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.

·        

·       Cluzeau, T., Quadrat, A.Using morphism computations for factoring and decomposing general linear functional systems (.pdf),
Rapport de Recherche INRIA (RR-5942), 2006.

 

2005

 

·       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.

·       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

 

·       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.

·       Cluzeau, T., Algorithmique modulaire des équations différentielles linéaires (PhD.pdf),
Thèse de l'Université de Limoges soutenue le 23 septembre 2004.

2003

 

·       Cluzeau, T., Hubert, É., Resolvent representation for regular differential ideals (.pdf),
Applicable Algebra in Engineering, Communication and Computing (AAECC), 13(5): 395-425, 2003.

·       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

 

·       Cluzeau, T., Hubert, É.Resolvent representation for regular differential ideals (.pdf),
Rapport de Recherche INRIA (RR-4200), 2001.