Edit Profile (opens in new tab) Quadrat, Alban Co-Author Distance Author ID: quadrat.alban Published as: Quadrat, Alban; Quadrat, A. Documents Indexed: 38 Publications since 1998, including 1 Additional arXiv Preprint 4 Contributions as Editor Co-Authors: 26 Co-Authors with 32 Joint Publications 508 Co-Co-Authors all top 5 Co-Authors 9 single-authored 8 Cluzeau, Thomas 7 Pommaret, Jean-Francois 5 Robertz, Daniel 3 Bouzidi, Yacine 2 Chyzak, Frédéric 2 Coquand, Thierry 2 Poteaux, Adrien 2 Zerz, Eva 1 Barakat, Mohamed 1 Boudellioua, Mohamed Salah 1 Boulier, François 1 Castel, Hélène 1 Corson, Nathalie 1 Fabiańska, Anna 1 Koutschan, Christoph 1 Laakkonen, Petteri 1 Lanza, Valentina 1 Lemaire, François 1 Moroz, Guillaume 1 Pinto, Camille 1 Quadrat, Arnaud 1 Regensburger, Georg 1 Rouillier, Fabrice 1 Tõnso, Maris 1 Ushirobira, Rosane 1 Verdière, Nathalie 1 Yengui, Ihsen all top 5 Serials 3 SIAM Journal on Control and Optimization 3 Systems & Control Letters 3 Acta Applicandae Mathematicae 3 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Symbolic Computation 2 Multidimensional Systems and Signal Processing 2 Linear Algebra and its Applications 2 Applicable Algebra in Engineering, Communication and Computing 2 Oberwolfach Reports 1 International Journal of Control 1 IMA Journal of Mathematical Control and Information 1 International Journal of Applied Mathematics and Computer Science 1 Mathematics in Computer Science 1 Advances in Delays and Dynamics all top 5 Fields 31 Systems theory; control (93-XX) 14 Associative rings and algebras (16-XX) 9 Commutative algebra (13-XX) 8 Computer science (68-XX) 5 Several complex variables and analytic spaces (32-XX) 4 General and overarching topics; collections (00-XX) 4 Partial differential equations (35-XX) 4 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 296 times in 119 Documents Cited by ▼ Year ▼ Effective algorithms for parametrizing linear control systems over Ore algebras. Zbl 1109.93018 Chyzak, F.; Quadrat, A.; Robertz, D. 40 2005 Algebraic analysis of linear multidimensional control systems. Zbl 1158.93319 Pommaret, J. F.; Quadrat, A. 38 1999 Factoring and decomposing a class of linear functional systems. Zbl 1131.15011 Cluzeau, Thomas; Quadrat, Alban 36 2008 OreModules: A symbolic package for the study of multidimensional linear systems. Zbl 1248.93006 Chyzak, Frédéric; Quadrat, Alban; Robertz, Daniel 35 2007 Applications of the Quillen-Suslin theorem to multidimensional systems theory. Zbl 1197.13011 Fabiańska, Anna; Quadrat, Alban 23 2007 The fractional representation approach to synthesis problems: An algebraic analysis viewpoint. I: (Weakly) doubly coprime factorizations. Zbl 1035.93017 Quadrat, A. 20 2003 Computation of bases of free modules over the Weyl algebras. Zbl 1137.16002 Quadrat, Alban; Robertz, Daniel 20 2007 The fractional representation approach to synthesis problems: An algebraic analysis viewpoint. II: Internal stabilization. Zbl 1035.93018 Quadrat, A. 18 2003 On a generalization of the Youla–Kučera parametrization. I: the fractional ideal approach to siso systems. Zbl 1157.93348 Quadrat, A. 18 2003 On a general structure of the stabilizing controllers based on stable range. Zbl 1069.93032 Quadrat, A. 18 2004 Localization and parametrization of linear multidimensional control systems. Zbl 0948.93016 Pommaret, J. F.; Quadrat, A. 17 1999 Serre’s reduction of linear functional systems. Zbl 1275.16003 Boudellioua, M. S.; Quadrat, A. 16 2010 A lattice approach to analysis and synthesis problems. Zbl 1103.93021 Quadrat, A. 14 2006 Generalized Bézout identity. Zbl 1073.93516 Pommaret, J. F.; Quadrat, A. 11 1998 On a generalization of the Youla-Kučera parametrization. II: The lattice approach to MIMO systems. Zbl 1106.93018 Quadrat, A. 11 2006 An algebraic interpretation to the operator-theoretic approach to stabilizability. I: SISO systems. Zbl 1129.93511 Quadrat, A. 10 2005 Grade filtration of linear functional systems. Zbl 1327.16037 Quadrat, Alban 10 2013 A functorial approach to the behaviour of multidimensional control systems. Zbl 1040.93510 Pommaret, Jean-François; Quadrat, Alban 8 2003 Serre’s reduction of linear partial differential systems with holonomic adjoints. Zbl 1252.35016 Cluzeau, Thomas; Quadrat, Alban 8 2012 A constructive study of the module structure of rings of partial differential operators. Zbl 1311.16019 Quadrat, A.; Robertz, D. 8 2014 Controllability and differential flatness of linear analytic ordinary differential systems. Zbl 1215.93020 Quadrat, Alban; Robertz, Daniel 7 2010 A functorial approach to the behaviour of multidimensional control systems. Zbl 0971.93017 Pommaret, J. F.; Quadrat, A. 7 2000 Formal elimination for multidimensional systems and application to control theory. Zbl 1120.93312 Pommaret, J. F.; Quadrat, A. 6 2000 A new insight into Serre’s reduction problem. Zbl 1318.93029 Cluzeau, Thomas; Quadrat, Alban 6 2015 A differential operator approach to multidimensional optimal control. Zbl 1136.93359 Pommaret, J.-F.; Quadrat, A. 5 2004 Certified non-conservative tests for the structural stability of discrete multidimensional systems. Zbl 1430.93179 Bouzidi, Yacine; Quadrat, Alban; Rouillier, Fabrice 5 2019 Computing polynomial solutions and annihilators of integro-differential operators with polynomial coefficients. Zbl 07244750 Quadrat, Alban; Regensburger, Georg 2 2020 Purity filtration of 2-dimensional linear systems. Zbl 1231.16036 Quadrat, Alban 1 2010 A fractional representation approach to the robust regulation problem for SISO systems. Zbl 1370.93099 Laakkonen, P.; Quadrat, A. 1 2017 Effective algebraic analysis approach to linear systems over Ore algebras. Zbl 1453.93042 Cluzeau, Thomas; Koutschan, Christoph; Quadrat, Alban; Tõnso, Maris 1 2020 Algebraic and symbolic computation methods in dynamical systems. Based on articles written for the invited sessions of the 5th symposium on system structure and control, IFAC, Grenoble, France, February 4–6, 2013 and of the 21st international symposium on mathematical theory of networks and systems (MTNS 2014), Groningen, the Netherlands, July 7–11, 2014. Zbl 1446.93001 1 2020 Computing polynomial solutions and annihilators of integro-differential operators with polynomial coefficients. Zbl 07244750 Quadrat, Alban; Regensburger, Georg 2 2020 Effective algebraic analysis approach to linear systems over Ore algebras. Zbl 1453.93042 Cluzeau, Thomas; Koutschan, Christoph; Quadrat, Alban; Tõnso, Maris 1 2020 Algebraic and symbolic computation methods in dynamical systems. Based on articles written for the invited sessions of the 5th symposium on system structure and control, IFAC, Grenoble, France, February 4–6, 2013 and of the 21st international symposium on mathematical theory of networks and systems (MTNS 2014), Groningen, the Netherlands, July 7–11, 2014. Zbl 1446.93001 1 2020 Certified non-conservative tests for the structural stability of discrete multidimensional systems. Zbl 1430.93179 Bouzidi, Yacine; Quadrat, Alban; Rouillier, Fabrice 5 2019 A fractional representation approach to the robust regulation problem for SISO systems. Zbl 1370.93099 Laakkonen, P.; Quadrat, A. 1 2017 A new insight into Serre’s reduction problem. Zbl 1318.93029 Cluzeau, Thomas; Quadrat, Alban 6 2015 A constructive study of the module structure of rings of partial differential operators. Zbl 1311.16019 Quadrat, A.; Robertz, D. 8 2014 Grade filtration of linear functional systems. Zbl 1327.16037 Quadrat, Alban 10 2013 Serre’s reduction of linear partial differential systems with holonomic adjoints. Zbl 1252.35016 Cluzeau, Thomas; Quadrat, Alban 8 2012 Serre’s reduction of linear functional systems. Zbl 1275.16003 Boudellioua, M. S.; Quadrat, A. 16 2010 Controllability and differential flatness of linear analytic ordinary differential systems. Zbl 1215.93020 Quadrat, Alban; Robertz, Daniel 7 2010 Purity filtration of 2-dimensional linear systems. Zbl 1231.16036 Quadrat, Alban 1 2010 Factoring and decomposing a class of linear functional systems. Zbl 1131.15011 Cluzeau, Thomas; Quadrat, Alban 36 2008 OreModules: A symbolic package for the study of multidimensional linear systems. Zbl 1248.93006 Chyzak, Frédéric; Quadrat, Alban; Robertz, Daniel 35 2007 Applications of the Quillen-Suslin theorem to multidimensional systems theory. Zbl 1197.13011 Fabiańska, Anna; Quadrat, Alban 23 2007 Computation of bases of free modules over the Weyl algebras. Zbl 1137.16002 Quadrat, Alban; Robertz, Daniel 20 2007 A lattice approach to analysis and synthesis problems. Zbl 1103.93021 Quadrat, A. 14 2006 On a generalization of the Youla-Kučera parametrization. II: The lattice approach to MIMO systems. Zbl 1106.93018 Quadrat, A. 11 2006 Effective algorithms for parametrizing linear control systems over Ore algebras. Zbl 1109.93018 Chyzak, F.; Quadrat, A.; Robertz, D. 40 2005 An algebraic interpretation to the operator-theoretic approach to stabilizability. I: SISO systems. Zbl 1129.93511 Quadrat, A. 10 2005 On a general structure of the stabilizing controllers based on stable range. Zbl 1069.93032 Quadrat, A. 18 2004 A differential operator approach to multidimensional optimal control. Zbl 1136.93359 Pommaret, J.-F.; Quadrat, A. 5 2004 The fractional representation approach to synthesis problems: An algebraic analysis viewpoint. I: (Weakly) doubly coprime factorizations. Zbl 1035.93017 Quadrat, A. 20 2003 The fractional representation approach to synthesis problems: An algebraic analysis viewpoint. II: Internal stabilization. Zbl 1035.93018 Quadrat, A. 18 2003 On a generalization of the Youla–Kučera parametrization. I: the fractional ideal approach to siso systems. Zbl 1157.93348 Quadrat, A. 18 2003 A functorial approach to the behaviour of multidimensional control systems. Zbl 1040.93510 Pommaret, Jean-François; Quadrat, Alban 8 2003 A functorial approach to the behaviour of multidimensional control systems. Zbl 0971.93017 Pommaret, J. F.; Quadrat, A. 7 2000 Formal elimination for multidimensional systems and application to control theory. Zbl 1120.93312 Pommaret, J. F.; Quadrat, A. 6 2000 Algebraic analysis of linear multidimensional control systems. Zbl 1158.93319 Pommaret, J. F.; Quadrat, A. 38 1999 Localization and parametrization of linear multidimensional control systems. Zbl 0948.93016 Pommaret, J. F.; Quadrat, A. 17 1999 Generalized Bézout identity. Zbl 1073.93516 Pommaret, J. F.; Quadrat, A. 11 1998 all cited Publications top 5 cited Publications all top 5 Cited by 128 Authors 14 Quadrat, Alban 11 Cluzeau, Thomas 9 Oberst, Ulrich 8 Lomadze, Vakhtang 8 Zerz, Eva 7 Robertz, Daniel 5 Lu, Dong 5 Pal, Debasattam 5 Pommaret, Jean-Francois 5 Wang, Dingkang 5 Xiao, Fanghui 4 Levandovskyy, Viktor 4 Liu, Jinwang 4 Pillai, Harish K. 3 Bachelier, Olivier 3 Barakat, Mohamed 3 Bourlès, Henri 3 Gallego, Claudia 3 Lévine, Jean 3 Lezama, Oswaldo 3 Marinescu, Bogdan 3 Sasane, Amol J. 3 Schindelar, Kristina 3 Yeganefar, Nima 2 Boudellioua, Mohamed Salah 2 Fritzsche, Klemens 2 Guan, Jiancheng 2 Lange-Hegermann, Markus 2 Li, Dongmei 2 Li, Weiqing 2 Mortini, Raymond 2 Mukherjee, Mousumi 2 Ouyang, Baiyu 2 Regensburger, Georg 2 Röbenack, Klaus 2 Rupp, Rudolf 2 Seiler, Werner M. 2 Singer, Michael F. 2 Ushirobira, Rosane 2 Wang, Mingsheng 2 Wu, Min 2 Zheng, Xiaopeng 1 Antoniou, Efstathios N. 1 Antritter, Felix 1 Area, Iván 1 Barkatou, Moulay A. 1 Bossoto, Bossoto 1 Cabada, Alberto 1 Caro-Tuesta, N. 1 Cassidy, Phyllis Joan 1 Cazaurang, Franck 1 Chu, Delin 1 Chyzak, Frédéric 1 Cimprič, Jaka 1 Cotroneo, Tommaso 1 David, Ronan 1 Feng, Ruyong 1 Fröhler, Stefan 1 Fuhrmann, Paul A. 1 Gao, Xiaoshan 1 Gérot, Cédric 1 Godoy, Eduardo Paciência 1 Gómez Torrecillas, José 1 Greco, Luca 1 Grigor’ev, Dmitriĭ Yur’evich 1 Halás, Miroslav 1 Härkönen, Marc 1 Hausdorf, Marcus 1 Helmke, Uwe R. 1 Hossein Poor, Jamal 1 Hou, Xiaorong 1 Huang, Bo 1 Khavkine, Igor 1 Korporal, Anja 1 Kotta, Palle 1 Kotta, Ulle 1 Koutschan, Christoph 1 Krupchyk, Katsiaryna 1 Laakkonen, Petteri 1 Levcovitz, Daniel 1 Li, Xiaoxue 1 Li, Ziming 1 Lu, Junguo 1 Mboup, Mamadou 1 Mehdi, Driss 1 Mehta, Nirmesh 1 Melchior, Pierre 1 Middeke, Johannes 1 Mounier, Hugues 1 Napp, Diego 1 Nazari, Mojtaba 1 Nemati, Ali 1 Nicklasson, Lisa 1 Niu, Wei 1 Oustaloup, Alain 1 Perruquetti, Wilfrid 1 Pinto, Camille 1 Plesken, Wilhelm 1 Raab, Clemens G. 1 Raită, Bogdan ...and 28 more Authors all top 5 Cited in 40 Serials 18 Multidimensional Systems and Signal Processing 12 Journal of Symbolic Computation 12 Linear Algebra and its Applications 9 Systems & Control Letters 8 International Journal of Control 4 Acta Applicandae Mathematicae 3 Applicable Algebra in Engineering, Communication and Computing 3 Mathematics in Computer Science 2 Communications in Algebra 2 Automatica 2 Kybernetika 2 SIAM Journal on Control and Optimization 2 International Journal of Applied Mathematics and Computer Science 2 Journal of Systems Science and Complexity 2 Journal of Algebra and its Applications 1 Acta Mechanica 1 Discrete Applied Mathematics 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Arkiv för Matematik 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Dissertationes Mathematicae 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Programming and Computer Software 1 Advances in Applied Mathematics 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 International Journal of Robust and Nonlinear Control 1 Advances in Computational Mathematics 1 Algebras and Representation Theory 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 São Paulo Journal of Mathematical Sciences 1 Computational Methods for Differential Equations all top 5 Cited in 28 Fields 64 Systems theory; control (93-XX) 24 Commutative algebra (13-XX) 22 Associative rings and algebras (16-XX) 22 Computer science (68-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 12 Ordinary differential equations (34-XX) 10 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 5 Field theory and polynomials (12-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Operator theory (47-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year