Edit Profile (opens in new tab) Henrion, Didier Co-Author Distance Author ID: henrion.didier Published as: Henrion, Didier; Henrion, D. External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 151 Publications since 1998, including 1 Book and 42 Additional arXiv Preprints 8 Contributions as Editor Software Indexed: 6 Packages Reviewing Activity: 248 Reviews Co-Authors: 126 Co-Authors with 145 Joint Publications 3,065 Co-Co-Authors all top 5 Co-Authors 14 single-authored 36 Lasserre, Jean-Bernard 15 Korda, Milan 15 Šebek, Michael 11 Arzelier, Denis 7 Magron, Victor 7 Naldi, Simone 7 Safey El Din, Mohab 7 Tarbouriech, Sophie 6 Claeys, Mathieu 6 Kučera, Vladimir V. 6 Peaucelle, Dimitri 5 Jones, Colin Neil 5 Kružík, Martin 5 Kuhlmann, Salma 5 Vinnikov, Victor L. 4 Bachelier, Olivier 4 Garoche, Pierre-Loïc 4 Pauwels, Edouard Jean Robert 4 Tanwani, Aneel 4 Weißer, Tillmann 3 Dabbene, Fabrizio 3 De Castro, Yohann 3 Gamboa, Fabrice 3 Malick, Jérôme 3 Marx, Swann 3 Overton, Michael L. 3 Rodrigues, Luis 3 Savorgnan, Carlo 3 Souaiby, Marianne 2 Bugarin, Florian 2 Chhatoi, Saroj Prasad 2 Daafouz, Jamal 2 de Klerk, Etienne 2 Feron, Eric 2 Findeisen, Rolf 2 Garcia, Germain 2 Gumussoy, Suat 2 Heß, Roxana 2 Infusino, Maria 2 Ježek, Jan 2 Lagoa, Constantino M. 2 Mevissen, Martin 2 Mezić, Igor 2 Streif, Stefan 2 Tacchi, Matteo 2 Tyburec, Marek 2 Vyhlídal, Tomáš 2 Zeman, Jan 1 Aangenent, Wouter H. T. M. 1 Abdalmoaty, Mohamed Rasheed-Hilmy 1 Ait Rami, Mustapha 1 Anderle, Milan 1 Augier, Nicolas 1 Bartoli, Adrien 1 Bayen, Térence 1 Bellon, Antonio 1 Bennani, Samir 1 Burke, James V. 1 Cantwell, Brian J. 1 Cardozo, Carmen 1 Čelikovský, Sergej 1 Chesi, Graziano 1 Davy, Guillaume 1 Delibaşı, Akın 1 Fallah, Mehdi Abedinpour 1 Flayac, Émilien 1 Forets, Marcelo 1 Fournié, Michel 1 Franc, Adrien Le 1 Galeani, Sergio 1 Ganet-Schoeller, Martine 1 Gani, Mahbub 1 Garulli, Andrea 1 Georgia, Deaconu 1 Gouaisbaut, Frédéric 1 Heemels, W. P. Maurice H. 1 Jacquemard, Alain 1 Jaulin, Luc 1 Jobredeaux, Romain 1 Josz, Cédric 1 Junca, Mauricio 1 Kahl, Fredrik 1 Kirschner, Felix 1 Kungurtsev, Vyacheslav 1 Lebarbé, Charlie 1 Lewis, Adrian S. 1 Löfberg, Johan 1 Louembet, Christophe 1 Mareček, Jakub 1 Mehdi, Driss 1 Meinsma, Gjerrit 1 Messine, Frédéric 1 Michiels, Wim 1 Millstone, Marc 1 Molina-Cristóbal, Arturo 1 Nijmeijer, Henk 1 Orteu, Jean-José 1 Oustry, Antoine 1 Panciatici, Patrick 1 Pantel, Marc ...and 26 more Co-Authors all top 5 Serials 16 Automatica 16 IEEE Transactions on Automatic Control 7 International Journal of Control 7 SIAM Journal on Control and Optimization 5 Oberwolfach Reports 4 Kybernetika 4 European Journal of Control 3 Systems & Control Letters 3 SIAM Journal on Optimization 3 Optimization Methods & Software 3 Optimization Letters 2 Journal of Symbolic Computation 2 Constructive Approximation 2 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 IEEE Transactions on Information Theory 1 ACM Transactions on Mathematical Software 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Journal of Optimization Theory and Applications 1 Optimal Control Applications & Methods 1 Operations Research Letters 1 Acta Applicandae Mathematicae 1 Discrete & Computational Geometry 1 Multidimensional Systems and Signal Processing 1 Journal of Global Optimization 1 Linear Algebra and its Applications 1 SIAM Review 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 International Journal of Computer Vision 1 Reliable Computing 1 INFORMS Journal on Computing 1 ELA. The Electronic Journal of Linear Algebra 1 Optimization and Engineering 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Lecture Notes in Control and Information Sciences 1 Matapli 1 Mathematical Programming Computation 1 Mathematical Control and Related Fields 1 Series on Optimization and its Applications all top 5 Fields 71 Operations research, mathematical programming (90-XX) 64 Systems theory; control (93-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 18 Algebraic geometry (14-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Numerical analysis (65-XX) 12 Computer science (68-XX) 9 Field theory and polynomials (12-XX) 7 General and overarching topics; collections (00-XX) 7 Commutative algebra (13-XX) 5 Convex and discrete geometry (52-XX) 4 Partial differential equations (35-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 Measure and integration (28-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 1,591 times in 1,060 Documents Cited by ▼ Year ▼ GloptiPoly 3: moments, optimization and semidefinite programming. Zbl 1178.90277 Henrion, Didier; Lasserre, Jean-Bernard; Löfberg, Johan 213 2009 Detecting global optimality and extracting solutions in GloptiPoly. Zbl 1119.93301 Henrion, Didier; Lassere, Jean-Bernard 112 2005 GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi. Zbl 1070.65549 Henrion, Didier; Lasserre, Jean-Bernard 102 2003 Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193 Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel 82 2008 Convex computation of the region of attraction of polynomial control systems. Zbl 1360.93601 Henrion, Didier; Korda, Milan 75 2014 Positive polynomials in control. Zbl 1059.93002 70 2005 Convergent relaxations of polynomial matrix inequalities and static output feedback. Zbl 1366.93180 Henrion, Didier; Lasserre, Jean-Bernard 55 2006 Convex computation of the maximum controlled invariant set for polynomial control systems. Zbl 1311.49073 Korda, Milan; Henrion, Didier; Jones, Colin N. 40 2014 Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation. Zbl 1119.93356 Peaucelle, Dimitri; Arzelier, Denis; Henrion, Didier; Gouaisbaut, Frédéric 37 2007 Positive polynomials and robust stabilization with fixed-order controllers. Zbl 1364.93707 Henrion, Didier; Šebek, Michael; Kučera, Vladimír 37 2003 Exact solutions to super resolution on semi-algebraic domains in higher dimensions. Zbl 1359.94030 De Castro, Yohann; Gamboa, F.; Henrion, Didier; Lasserre, J.-B. 33 2017 Approximate volume and integration for basic semialgebraic sets. Zbl 1179.14037 Henrion, D.; Lasserre, J. B.; Savorgnan, C. 32 2009 Strong duality in lasserre’s hierarchy for polynomial optimization. Zbl 1339.90267 Josz, Cédric; Henrion, Didier 29 2016 Exact algorithms for linear matrix inequalities. Zbl 1356.90102 Henrion, Didier; Naldi, Simone; El Din, Mohab Safey 27 2016 Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490 Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L. 27 2006 Strong stability of neutral equations with an arbitrary delay dependency structure. Zbl 1194.93190 Michiels, Wim; Vyhlídal, Tomáš; Zítek, Pavel; Nijmeijer, Henk; Henrion, Didier 19 2009 Semidefinite representation of convex hulls of rational varieties. Zbl 1279.90128 Henrion, Didier 17 2011 Fixed-order robust \(H_{\infty}\) controller design with regional pole assignment. Zbl 1366.93165 Yang, Fuwen; Gani, Mahbub; Henrion, Didier 16 2007 Detecting rigid convexity of bivariate polynomials. Zbl 1183.65023 Henrion, Didier 15 2010 The moment-SOS hierarchy. Lectures in probability, statistics, computational geometry, control and nonlinear PDEs. Zbl 1485.90001 Henrion, Didier; Korda, Milan; Lasserre, Jean B. 15 2021 Approximate optimal designs for multivariate polynomial regression. Zbl 1417.62219 De Castro, Yohann; Gamboa, Fabrice; Henrion, Didier; Hess, Roxana; Lasserre, Jean-Bernard 14 2019 Output feedback robust stabilization of uncertain linear systems with saturating controls: An LMI approach. Zbl 0958.93086 Henrion, Didier; Tarbouriech, Sophie; Garcia, Germain 14 1999 Positive polynomial matrices and improved LMI robustness conditions. Zbl 1037.93027 Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitri 14 2003 Semidefinite geometry of the numerical range. Zbl 1205.14076 Henrion, Didier 14 2010 Projection methods in conic optimization. Zbl 1334.90105 Henrion, Didier; Malick, Jérôme 14 2012 LMI relaxations for robust stability of linear systems with saturating controls. Zbl 0948.93524 Henrion, Didier; Tarbouriech, Sophie 13 1999 Robust root-clustering of a matrix in intersections or unions of regions. Zbl 1101.93059 Bachelier, Olivier; Henrion, Didier; Pradin, Bernard; Mehdi, Driss 13 2004 Semidefinite approximations of projections and polynomial images of semialgebraic sets. Zbl 1327.14241 Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard 13 2015 An LMI condition for robust stability of polynomial matrix polytopes. Zbl 0982.93057 Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitry; Šebek, Michael 12 2001 LMI approximations for the radius of the intersection of ellipsoids: Survey. Zbl 1033.93058 Henrion, D.; Tarbouriech, S.; Arzelier, D. 12 2001 Semi-algebraic approximation using Christoffel-Darboux kernel. Zbl 1497.41016 Marx, Swann; Pauwels, Edouard; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard 12 2021 A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473 Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard 12 2020 \(\mathcal D\)-stability of polynomial matrices. Zbl 1011.93083 Henrion, Didier; Bachelier, Olivier; Šebek, Michael 11 2001 Inner approximations for polynomial matrix inequalities and robust stability regions. Zbl 1369.93460 Henrion, Didier; Lasserre, Jean-Bernard 11 2012 Measures and LMIs for impulsive nonlinear optimal control. Zbl 1360.93492 Claeys, Mathieu; Arzelier, Denis; Henrion, Didier; Lasserre, Jean-Bernard 11 2014 Finding largest small polygons with gloptipoly. Zbl 1272.90059 Henrion, Didier; Messine, Frédéric 10 2013 Projection methods for conic feasibility problems: applications to polynomial sum-of-squares decompositions. Zbl 1228.90071 Henrion, Didier; Malick, Jérôme 10 2011 Piecewise-linear robust control of systems with input constraints. Zbl 0955.93039 Henrion, D.; Garcia, G.; Tarbouriech, S. 10 1999 Rank-one LMI approach to simultaneous stabilization of linear systems. Zbl 1043.93545 Henrion, Didier; Tarbouriech, Sophie; Šebek, Michael 10 1999 Convex computation of extremal invariant measures of nonlinear dynamical systems and Markov processes. Zbl 1467.37080 Korda, Milan; Henrion, Didier; Mezić, Igor 10 2021 Robust \(\mathcal D\) stabilization of a polytope of matrices. Zbl 1011.93053 Arzelier, D.; Henrion, D.; Peaucelle, D. 10 2002 Ellipsoidal approximation of the stability domain of a polynomial. Zbl 1364.93568 Henrion, Didier; Peaucelle, Dimitri; Arzelier, Denis; Šebek, Michael 10 2003 An improved Toeplitz algorithm for polynomial matrix null-space computation. Zbl 1161.65035 Zúñiga Anaya, J. C.; Henrion, D. 9 2009 Control of linear systems subject to input constraints: A polynomial approach. Zbl 1034.93039 Henrion, Didier; Tarbouriech, Sophie; Kučera, Vladimír 9 2001 Globally optimal estimates for geometric reconstruction problems. Zbl 1477.68382 Kahl, Fredrik; Henrion, Didier 9 2007 Approximating Pareto curves using semidefinite relaxations. Zbl 1408.90273 Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard 9 2014 Modal occupation measures and LMI relaxations for nonlinear switched systems control. Zbl 1329.49051 Claeys, Mathieu; Daafouz, Jamal; Henrion, Didier 9 2016 Linear conic optimization for inverse optimal control. Zbl 1342.93063 Pauwels, Edouard; Henrion, Didier; Lasserre, Jean-Bernard 9 2016 Semidefinite approximations of reachable sets for discrete-time polynomial systems. Zbl 1421.90110 Magron, Victor; Garoche, Pierre-Loic; Henrion, Didier; Thirioux, Xavier 9 2019 Simple approximations of semialgebraic sets and their applications to control. Zbl 1357.93058 Dabbene, Fabrizio; Henrion, Didier; Lagoa, Constantino M. 9 2017 Robust pole placement for second-order systems: an LMI approach. Zbl 1249.93169 Henrion, Didier; Šebek, Michael; Kučera, Vladimír 8 2005 Rank-one LMIs and Lyapunov’s inequality. Zbl 1016.93029 Henrion, Didier; Meinsma, Gjerrit 8 2001 Control of linear systems subject to time-domain constraints with polynomial pole placement and LMIs. Zbl 1365.93197 Henrion, Didier; Tarbouriech, Sophie; Kučera, Vladimir 8 2005 Minimizing the sum of many rational functions. Zbl 1364.90268 Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard 8 2016 Real root finding for determinants of linear matrices. Zbl 1329.65090 Henrion, Didier; Naldi, Simone; Safey El Din, Mohab 8 2016 Real root finding for rank defects in linear Hankel matrices. Zbl 1345.65024 Henrion, Didier; Naldi, Simone; Safey El Din, Mohab 8 2015 Moments and convex optimization for analysis and control of nonlinear PDEs. Zbl 1527.49025 Korda, Milan; Henrion, Didier; Lasserre, Jean Bernard 8 2022 Optimal control problems with oscillations, concentrations and discontinuities. Zbl 1412.49073 Henrion, Didier; Kružík, Martin; Weisser, Tillmann 7 2019 Reliable numerical methods for polynomial matrix triangularization. Zbl 0956.65036 Henrion, Didier; Šebek, Michael 7 1999 Semidefinite approximations of invariant measures for polynomial systems. Zbl 1423.90172 Magron, Victor; Forets, Marcelo; Henrion, Didier 7 2019 Semidefinite programming for optimizing convex bodies under width constraints. Zbl 1244.49054 Bayen, Térence; Henrion, Didier 6 2012 Controller design and value function approximation for nonlinear dynamical systems. Zbl 1335.49050 Korda, Milan; Henrion, Didier; Jones, Colin N. 6 2016 Convergence rates of moment-sum-of-squares hierarchies for optimal control problems. Zbl 1356.49058 Korda, Milan; Henrion, Didier; Jones, Colin N. 6 2017 Semi-definite relaxations for optimal control problems with oscillation and concentration effects. Zbl 1358.49026 Claeys, Mathieu; Henrion, Didier; Kružík, Martin 6 2017 Semidefinite characterisation of invariant measures for one-dimensional discrete dynamical systems. Zbl 1255.37002 Henrion, Didier 5 2012 Parabolic set simulation for reachability analysis of linear time-invariant systems with integral quadratic constraint. Zbl 1458.93022 Rousse, Paul; Garoche, Pierre-Loïc; Henrion, Didier 5 2021 Mean squared error minimization for inverse moment problems. Zbl 1297.49064 Henrion, Didier; Lasserre, Jean B.; Mevissen, Martin 4 2014 LMIs for constrained polynomial interpolation with application in trajectory planning. Zbl 1129.93460 Henrion, Didier; Lasserre, Jean-Bernard 4 2006 Improved polynomial matrix determinant computation. Zbl 0968.65026 Henrion, Didier; Šebek, Michael 4 1999 Rank-one LMI approach to stability of 2-D polynomial matrices. Zbl 0976.93043 Henrion, Didier; Šebek, Michael; Bachelier, Olivier 4 2001 Contracting optimally an interval matrix without loosing any positive semi-definite matrix is a tractable problem. Zbl 1076.65041 Jaulin, Luc; Henrion, Didier 4 2005 Exploiting sparsity for semi-algebraic set volume computation. Zbl 1512.14033 Tacchi, Matteo; Weisser, Tillmann; Lasserre, Jean Bernard; Henrion, Didier 4 2022 Guest editorial: Special issue on positive polynomials in control. Zbl 1367.93006 4 2009 Convergence rates of moment-sum-of-squares hierarchies for volume approximation of semialgebraic sets. Zbl 1400.90244 Korda, Milan; Henrion, Didier 4 2018 Symmetries and analytical solutions of the Hamilton-Jacobi-Bellman equation for a class of optimal control problems. Zbl 1346.49004 Rodrigues, Luis; Henrion, Didier; Cantwell, Brian J. 4 2016 Graph recovery from incomplete moment information. Zbl 1495.42012 Henrion, Didier; Lasserre, Jean Bernard 4 2022 A Toeplitz algorithm for polynomial \(J\)-spectral factorization. Zbl 1120.65053 Zúñiga, Juan Carlos; Henrion, Didier 3 2006 Positive trigonometric polynomials for strong stability of difference equations. Zbl 1257.93073 Henrion, Didier; Vyhlídal, Tomáš 3 2012 Linear control of time-domain constrained systems. Zbl 1246.93047 Aangenent, W. H. T. M.; Heemels, W. P. M. H.; van de Molengraft, M. J. G.; Henrion, D.; Steinbuch, M. 3 2012 Symmetric matrix polynomial equation: Interpolation results. Zbl 0935.65042 Henrion, Didier; Šebek, Michael 3 1998 An algorithm for polynomial matrix factor extraction. Zbl 1006.93520 Henrion, Didier; Šebek, Michael 3 2000 Low-order robust controller design for interval plants. Zbl 1038.93073 Henrion, Didier; Bachelier, Olivier 3 2001 Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 1460.90128 Henrion, Didier; Naldi, Simone; Safey El Din, Mohab 3 2021 Linear matrix inequalities for robust strictly positive real design. Zbl 1368.93137 Henrion, Didier 3 2002 Semidefinite approximations of the polynomial abscissa. Zbl 1351.90127 Heß, Roxana; Henrion, Didier; Lasserre, Jean-Bernard; Phạm, Tien Son 3 2016 Design of Marx generators as a structured eigenvalue assignment. Zbl 1302.93119 Galeani, Sergio; Henrion, Didier; Jacquemard, Alain; Zaccarian, Luca 2 2014 Convex inner approximations of nonconvex semialgebraic sets applied to fixed-order controller design. Zbl 1417.93109 Henrion, Didier; Louembet, Christophe 2 2012 Solving global optimization problems over polynomials with GloptiPoly 2.1. Zbl 1255.90095 Henrion, Didier; Lasserre, Jean-Bernard 2 2003 LMI optimization for fixed-order \(H_{\infty}\) controller design. Zbl 1138.93335 Henrion, Didier 2 2005 Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 1467.90031 Henrion, Didier; Naldi, Simone; Safey El Din, Mohab 2 2018 Dual optimal design and the Christoffel-Darboux polynomial. Zbl 1460.90126 De Castro, Yohann; Gamboa, Fabrice; Henrion, Didier; Lasserre, Jean Bernard 2 2021 Rank-one LMI approach to robust stability of polynomial matrices. Zbl 1265.93194 Henrion, Didier; Sagimoto, Kenji; Šebek, Michael 1 2002 Discrete-time symmetric polynomial equations with complex coefficients. Zbl 1265.93102 Henrion, Didier; Ježek, Jan; Šebek, Michael 1 2002 A hierarchy of LMI inner approximations of the set of stable polynomials. Zbl 1220.93029 Rami, Mustapha Ait; Henrion, Didier 1 2011 Advanced LMI based analysis and design for Acrobot walking. Zbl 1200.93101 Anderle, Milan; Čelikovský, Sergej; Henrion, Didier; Zikmund, Jiří 1 2010 Plane geometry and convexity of polynomial stability regions. Zbl 1487.93024 Henrion, Didier; Sebek, Michael 1 2008 Revisiting semidefinite programming approaches to options pricing: complexity and computational perspectives. Zbl 07810233 Henrion, Didier; Kirschner, Felix; De Klerk, Etienne; Korda, Milan; Lasserre, Jean-Bernard; Magron, Victor 1 2023 Hermite matrix in Lagrange basis for scaling static output feedback polynomial matrix inequalities. Zbl 1208.90174 Delibaşı, Akın; Henrion, Didier 1 2010 Cone-copositive Lyapunov functions for complementarity systems: converse result and polynomial approximation. Zbl 1537.93641 Souaiby, Marianne; Tanwani, Aneel; Henrion, Didier 1 2022 Occupation measure relaxations in variational problems: the role of convexity. Zbl 1539.49014 Henrion, Didier; Korda, Milan; Kruzik, Martin; Rios-Zertuche, Rodolfo 1 2024 Occupation measure relaxations in variational problems: the role of convexity. Zbl 1539.49014 Henrion, Didier; Korda, Milan; Kruzik, Martin; Rios-Zertuche, Rodolfo 1 2024 Revisiting semidefinite programming approaches to options pricing: complexity and computational perspectives. Zbl 07810233 Henrion, Didier; Kirschner, Felix; De Klerk, Etienne; Korda, Milan; Lasserre, Jean-Bernard; Magron, Victor 1 2023 Stokes, Gibbs, and volume computation of semi-algebraic sets. Zbl 1507.14080 Tacchi, Matteo; Lasserre, Jean Bernard; Henrion, Didier 1 2023 Ensemble approximations for constrained dynamical systems using Liouville equation. Zbl 1507.93111 Souaiby, Marianne; Tanwani, Aneel; Henrion, Didier 1 2023 Moments and convex optimization for analysis and control of nonlinear PDEs. Zbl 1527.49025 Korda, Milan; Henrion, Didier; Lasserre, Jean Bernard 8 2022 Exploiting sparsity for semi-algebraic set volume computation. Zbl 1512.14033 Tacchi, Matteo; Weisser, Tillmann; Lasserre, Jean Bernard; Henrion, Didier 4 2022 Graph recovery from incomplete moment information. Zbl 1495.42012 Henrion, Didier; Lasserre, Jean Bernard 4 2022 Cone-copositive Lyapunov functions for complementarity systems: converse result and polynomial approximation. Zbl 1537.93641 Souaiby, Marianne; Tanwani, Aneel; Henrion, Didier 1 2022 The moment-SOS hierarchy. Lectures in probability, statistics, computational geometry, control and nonlinear PDEs. Zbl 1485.90001 Henrion, Didier; Korda, Milan; Lasserre, Jean B. 15 2021 Semi-algebraic approximation using Christoffel-Darboux kernel. Zbl 1497.41016 Marx, Swann; Pauwels, Edouard; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard 12 2021 Convex computation of extremal invariant measures of nonlinear dynamical systems and Markov processes. Zbl 1467.37080 Korda, Milan; Henrion, Didier; Mezić, Igor 10 2021 Parabolic set simulation for reachability analysis of linear time-invariant systems with integral quadratic constraint. Zbl 1458.93022 Rousse, Paul; Garoche, Pierre-Loïc; Henrion, Didier 5 2021 Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 1460.90128 Henrion, Didier; Naldi, Simone; Safey El Din, Mohab 3 2021 Dual optimal design and the Christoffel-Darboux polynomial. Zbl 1460.90126 De Castro, Yohann; Gamboa, Fabrice; Henrion, Didier; Lasserre, Jean Bernard 2 2021 A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473 Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard 12 2020 Approximate optimal designs for multivariate polynomial regression. Zbl 1417.62219 De Castro, Yohann; Gamboa, Fabrice; Henrion, Didier; Hess, Roxana; Lasserre, Jean-Bernard 14 2019 Semidefinite approximations of reachable sets for discrete-time polynomial systems. Zbl 1421.90110 Magron, Victor; Garoche, Pierre-Loic; Henrion, Didier; Thirioux, Xavier 9 2019 Optimal control problems with oscillations, concentrations and discontinuities. Zbl 1412.49073 Henrion, Didier; Kružík, Martin; Weisser, Tillmann 7 2019 Semidefinite approximations of invariant measures for polynomial systems. Zbl 1423.90172 Magron, Victor; Forets, Marcelo; Henrion, Didier 7 2019 Convergence rates of moment-sum-of-squares hierarchies for volume approximation of semialgebraic sets. Zbl 1400.90244 Korda, Milan; Henrion, Didier 4 2018 Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 1467.90031 Henrion, Didier; Naldi, Simone; Safey El Din, Mohab 2 2018 Experiments in verification of linear model predictive control: automatic generation and formal verification of an interior point method algorithm. Zbl 1415.68143 Davy, Guillaume; Feron, Eric; Garoche, Pierre-Loic; Henrion, Didier 1 2018 Exact solutions to super resolution on semi-algebraic domains in higher dimensions. Zbl 1359.94030 De Castro, Yohann; Gamboa, F.; Henrion, Didier; Lasserre, J.-B. 33 2017 Simple approximations of semialgebraic sets and their applications to control. Zbl 1357.93058 Dabbene, Fabrizio; Henrion, Didier; Lagoa, Constantino M. 9 2017 Convergence rates of moment-sum-of-squares hierarchies for optimal control problems. Zbl 1356.49058 Korda, Milan; Henrion, Didier; Jones, Colin N. 6 2017 Semi-definite relaxations for optimal control problems with oscillation and concentration effects. Zbl 1358.49026 Claeys, Mathieu; Henrion, Didier; Kružík, Martin 6 2017 Real algebraic geometry with a view toward moment problems and optimization. Abstracts from the workshop held March 5 – March 11, 2017. Zbl 1390.00099 1 2017 Strong duality in lasserre’s hierarchy for polynomial optimization. Zbl 1339.90267 Josz, Cédric; Henrion, Didier 29 2016 Exact algorithms for linear matrix inequalities. Zbl 1356.90102 Henrion, Didier; Naldi, Simone; El Din, Mohab Safey 27 2016 Modal occupation measures and LMI relaxations for nonlinear switched systems control. Zbl 1329.49051 Claeys, Mathieu; Daafouz, Jamal; Henrion, Didier 9 2016 Linear conic optimization for inverse optimal control. Zbl 1342.93063 Pauwels, Edouard; Henrion, Didier; Lasserre, Jean-Bernard 9 2016 Minimizing the sum of many rational functions. Zbl 1364.90268 Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard 8 2016 Real root finding for determinants of linear matrices. Zbl 1329.65090 Henrion, Didier; Naldi, Simone; Safey El Din, Mohab 8 2016 Controller design and value function approximation for nonlinear dynamical systems. Zbl 1335.49050 Korda, Milan; Henrion, Didier; Jones, Colin N. 6 2016 Symmetries and analytical solutions of the Hamilton-Jacobi-Bellman equation for a class of optimal control problems. Zbl 1346.49004 Rodrigues, Luis; Henrion, Didier; Cantwell, Brian J. 4 2016 Semidefinite approximations of the polynomial abscissa. Zbl 1351.90127 Heß, Roxana; Henrion, Didier; Lasserre, Jean-Bernard; Phạm, Tien Son 3 2016 Semidefinite approximations of projections and polynomial images of semialgebraic sets. Zbl 1327.14241 Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard 13 2015 Real root finding for rank defects in linear Hankel matrices. Zbl 1345.65024 Henrion, Didier; Naldi, Simone; Safey El Din, Mohab 8 2015 Rank-constrained fundamental matrix estimation by polynomial global optimization versus the eight-point algorithm. Zbl 1330.68288 Bugarin, Florian; Bartoli, Adrien; Henrion, Didier; Lasserre, Jean-Bernard; Orteu, Jean-José; Sentenac, Thierry 1 2015 Convex computation of the region of attraction of polynomial control systems. Zbl 1360.93601 Henrion, Didier; Korda, Milan 75 2014 Convex computation of the maximum controlled invariant set for polynomial control systems. Zbl 1311.49073 Korda, Milan; Henrion, Didier; Jones, Colin N. 40 2014 Measures and LMIs for impulsive nonlinear optimal control. Zbl 1360.93492 Claeys, Mathieu; Arzelier, Denis; Henrion, Didier; Lasserre, Jean-Bernard 11 2014 Approximating Pareto curves using semidefinite relaxations. Zbl 1408.90273 Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard 9 2014 Mean squared error minimization for inverse moment problems. Zbl 1297.49064 Henrion, Didier; Lasserre, Jean B.; Mevissen, Martin 4 2014 Design of Marx generators as a structured eigenvalue assignment. Zbl 1302.93119 Galeani, Sergio; Henrion, Didier; Jacquemard, Alain; Zaccarian, Luca 2 2014 Finding largest small polygons with gloptipoly. Zbl 1272.90059 Henrion, Didier; Messine, Frédéric 10 2013 Projection methods in conic optimization. Zbl 1334.90105 Henrion, Didier; Malick, Jérôme 14 2012 Inner approximations for polynomial matrix inequalities and robust stability regions. Zbl 1369.93460 Henrion, Didier; Lasserre, Jean-Bernard 11 2012 Semidefinite programming for optimizing convex bodies under width constraints. Zbl 1244.49054 Bayen, Térence; Henrion, Didier 6 2012 Semidefinite characterisation of invariant measures for one-dimensional discrete dynamical systems. Zbl 1255.37002 Henrion, Didier 5 2012 Positive trigonometric polynomials for strong stability of difference equations. Zbl 1257.93073 Henrion, Didier; Vyhlídal, Tomáš 3 2012 Linear control of time-domain constrained systems. Zbl 1246.93047 Aangenent, W. H. T. M.; Heemels, W. P. M. H.; van de Molengraft, M. J. G.; Henrion, D.; Steinbuch, M. 3 2012 Convex inner approximations of nonconvex semialgebraic sets applied to fixed-order controller design. Zbl 1417.93109 Henrion, Didier; Louembet, Christophe 2 2012 Semidefinite representation of convex hulls of rational varieties. Zbl 1279.90128 Henrion, Didier 17 2011 Projection methods for conic feasibility problems: applications to polynomial sum-of-squares decompositions. Zbl 1228.90071 Henrion, Didier; Malick, Jérôme 10 2011 A hierarchy of LMI inner approximations of the set of stable polynomials. Zbl 1220.93029 Rami, Mustapha Ait; Henrion, Didier 1 2011 Detecting rigid convexity of bivariate polynomials. Zbl 1183.65023 Henrion, Didier 15 2010 Semidefinite geometry of the numerical range. Zbl 1205.14076 Henrion, Didier 14 2010 Advanced LMI based analysis and design for Acrobot walking. Zbl 1200.93101 Anderle, Milan; Čelikovský, Sergej; Henrion, Didier; Zikmund, Jiří 1 2010 Hermite matrix in Lagrange basis for scaling static output feedback polynomial matrix inequalities. Zbl 1208.90174 Delibaşı, Akın; Henrion, Didier 1 2010 GloptiPoly 3: moments, optimization and semidefinite programming. Zbl 1178.90277 Henrion, Didier; Lasserre, Jean-Bernard; Löfberg, Johan 213 2009 Approximate volume and integration for basic semialgebraic sets. Zbl 1179.14037 Henrion, D.; Lasserre, J. B.; Savorgnan, C. 32 2009 Strong stability of neutral equations with an arbitrary delay dependency structure. Zbl 1194.93190 Michiels, Wim; Vyhlídal, Tomáš; Zítek, Pavel; Nijmeijer, Henk; Henrion, Didier 19 2009 An improved Toeplitz algorithm for polynomial matrix null-space computation. Zbl 1161.65035 Zúñiga Anaya, J. C.; Henrion, D. 9 2009 Guest editorial: Special issue on positive polynomials in control. Zbl 1367.93006 4 2009 Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193 Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel 82 2008 Plane geometry and convexity of polynomial stability regions. Zbl 1487.93024 Henrion, Didier; Sebek, Michael 1 2008 On convexity of the frequency response of a stable polynomial. Zbl 1367.93465 Henrion, Didier 1 2008 Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation. Zbl 1119.93356 Peaucelle, Dimitri; Arzelier, Denis; Henrion, Didier; Gouaisbaut, Frédéric 37 2007 Fixed-order robust \(H_{\infty}\) controller design with regional pole assignment. Zbl 1366.93165 Yang, Fuwen; Gani, Mahbub; Henrion, Didier 16 2007 Globally optimal estimates for geometric reconstruction problems. Zbl 1477.68382 Kahl, Fredrik; Henrion, Didier 9 2007 Convergent relaxations of polynomial matrix inequalities and static output feedback. Zbl 1366.93180 Henrion, Didier; Lasserre, Jean-Bernard 55 2006 Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490 Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L. 27 2006 LMIs for constrained polynomial interpolation with application in trajectory planning. Zbl 1129.93460 Henrion, Didier; Lasserre, Jean-Bernard 4 2006 A Toeplitz algorithm for polynomial \(J\)-spectral factorization. Zbl 1120.65053 Zúñiga, Juan Carlos; Henrion, Didier 3 2006 Detecting global optimality and extracting solutions in GloptiPoly. Zbl 1119.93301 Henrion, Didier; Lassere, Jean-Bernard 112 2005 Positive polynomials in control. Zbl 1059.93002 70 2005 Robust pole placement for second-order systems: an LMI approach. Zbl 1249.93169 Henrion, Didier; Šebek, Michael; Kučera, Vladimír 8 2005 Control of linear systems subject to time-domain constraints with polynomial pole placement and LMIs. Zbl 1365.93197 Henrion, Didier; Tarbouriech, Sophie; Kučera, Vladimir 8 2005 Contracting optimally an interval matrix without loosing any positive semi-definite matrix is a tractable problem. Zbl 1076.65041 Jaulin, Luc; Henrion, Didier 4 2005 LMI optimization for fixed-order \(H_{\infty}\) controller design. Zbl 1138.93335 Henrion, Didier 2 2005 Optimizing simultaneously over the numerator and denominator polynomials in the Youla-Kučera parametrization. Zbl 1365.93463 Henrion, Didier; Kučera, Vladimir; Molina-Cristóbal, Arturo 1 2005 Robust root-clustering of a matrix in intersections or unions of regions. Zbl 1101.93059 Bachelier, Olivier; Henrion, Didier; Pradin, Bernard; Mehdi, Driss 13 2004 GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi. Zbl 1070.65549 Henrion, Didier; Lasserre, Jean-Bernard 102 2003 Positive polynomials and robust stabilization with fixed-order controllers. Zbl 1364.93707 Henrion, Didier; Šebek, Michael; Kučera, Vladimír 37 2003 Positive polynomial matrices and improved LMI robustness conditions. Zbl 1037.93027 Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitri 14 2003 Ellipsoidal approximation of the stability domain of a polynomial. Zbl 1364.93568 Henrion, Didier; Peaucelle, Dimitri; Arzelier, Denis; Šebek, Michael 10 2003 Solving global optimization problems over polynomials with GloptiPoly 2.1. Zbl 1255.90095 Henrion, Didier; Lasserre, Jean-Bernard 2 2003 Robust \(\mathcal D\) stabilization of a polytope of matrices. Zbl 1011.93053 Arzelier, D.; Henrion, D.; Peaucelle, D. 10 2002 Linear matrix inequalities for robust strictly positive real design. Zbl 1368.93137 Henrion, Didier 3 2002 Rank-one LMI approach to robust stability of polynomial matrices. Zbl 1265.93194 Henrion, Didier; Sagimoto, Kenji; Šebek, Michael 1 2002 Discrete-time symmetric polynomial equations with complex coefficients. Zbl 1265.93102 Henrion, Didier; Ježek, Jan; Šebek, Michael 1 2002 An LMI condition for robust stability of polynomial matrix polytopes. Zbl 0982.93057 Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitry; Šebek, Michael 12 2001 LMI approximations for the radius of the intersection of ellipsoids: Survey. Zbl 1033.93058 Henrion, D.; Tarbouriech, S.; Arzelier, D. 12 2001 \(\mathcal D\)-stability of polynomial matrices. Zbl 1011.93083 Henrion, Didier; Bachelier, Olivier; Šebek, Michael 11 2001 Control of linear systems subject to input constraints: A polynomial approach. Zbl 1034.93039 Henrion, Didier; Tarbouriech, Sophie; Kučera, Vladimír 9 2001 Rank-one LMIs and Lyapunov’s inequality. Zbl 1016.93029 Henrion, Didier; Meinsma, Gjerrit 8 2001 Rank-one LMI approach to stability of 2-D polynomial matrices. Zbl 0976.93043 Henrion, Didier; Šebek, Michael; Bachelier, Olivier 4 2001 Low-order robust controller design for interval plants. Zbl 1038.93073 Henrion, Didier; Bachelier, Olivier 3 2001 An algorithm for polynomial matrix factor extraction. Zbl 1006.93520 Henrion, Didier; Šebek, Michael 3 2000 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,607 Authors 57 Henrion, Didier 57 Lasserre, Jean-Bernard 40 Nie, Jiawang 25 Magron, Victor 20 Fan, Jinyan 17 Safey El Din, Mohab 15 Zhou, Anwa 12 Korda, Milan 10 Bachelier, Olivier 10 Fantuzzi, Giovanni 10 Goluskin, David 10 Klep, Igor 10 Zhi, Lihong 9 Gaitsgory, Vladimir G. 9 Kojima, Masakazu 9 Li, Guoyin 9 Zhang, Xinzhen 9 Zhou, Guangming 8 Guo, Feng 8 Michiels, Wim 8 Naldi, Simone 8 Oliveira, Ricardo C. L. F. 8 Peaucelle, Dimitri 8 Peres, Pedro L. D. 8 Povh, Janez 8 Qi, Liqun 8 Zhong, Suhan 7 Ahmad, Bashir 7 Al-saedi, Ahmed Eid Salem 7 Chesi, Graziano 7 Chien, Mao-Ting 7 Chu, Jian 7 de Klerk, Etienne 7 Goreac, Dan 7 Jeyakumar, Vaithilingam 7 Laurent, Monique 7 Mehdi, Driss 7 Nakazato, Hiroshi 7 Park, Juhyun (Jessie) 7 Wang, Jie 7 Weis, Stephan 6 Ahmadi, Amir Ali 6 Arzelier, Denis 6 Gouaisbaut, Frédéric 6 Jiao, Liguo 6 Jungers, Raphaël M. 6 Kučera, Vladimir V. 6 Lam, James 6 Ntouyas, Sotiris K. 6 Plaumann, Daniel 6 Pozdyaev, V. V. 6 Šebek, Michael 6 She, Zhikun 6 Su, Hongye 6 Tang, Xindong 6 Tarbouriech, Sophie 6 Thai Doan Chuong 6 Weißer, Tillmann 6 Wu, Zhengguang 5 Bogoşel, Beniamin 5 De Castro, Yohann 5 Helton, John William 5 Kim, Sunyoung 5 Kružík, Martin 5 Li, Zhening 5 Mesquine, Fouad 5 Overton, Michael L. 5 Papp, Dávid 5 Parrilo, Pablo A. 5 Phạm Tiên So’n 5 Piunovskiĭ, Alekseĭ Borisovich 5 Scherer, Carsten W. 5 Shvartsman, Ilya A. 5 Tadeo, Fernando 5 Toh, Kim Chuan 5 Xia, Yong 4 Benzaouia, Abdellah 4 Büyükköroğlu, Taner 4 Cerone, Vito 4 Chernyshenko, Sergei I. 4 Claeys, Mathieu 4 Dressler, Mareike 4 Dzhafarov, Vakif 4 Huang, Zheng-Hai 4 Huseyin, Anar 4 Huseyin, Nesir 4 Jones, Colin Neil 4 Josz, Cédric 4 Kahl, Fredrik 4 Kaltofen, Erich L. 4 Karimi, Alireza 4 Lu, Junjie 4 Marx, Swann 4 Meziat, René J. 4 Mourrain, Bernard 4 Nataraj, Paluri S. V. 4 Parpas, Panos 4 Pauwels, Edouard Jean Robert 4 Regruto, Diego 4 Sadeghzadeh, Arash ...and 1,507 more Authors all top 5 Cited in 221 Serials 89 Automatica 47 Mathematical Programming. Series A. Series B 43 International Journal of Control 42 Journal of Global Optimization 42 SIAM Journal on Optimization 34 Computational Optimization and Applications 33 International Journal of Robust and Nonlinear Control 24 Systems & Control Letters 23 Journal of the Franklin Institute 23 Linear Algebra and its Applications 22 Journal of Symbolic Computation 21 Applied Mathematics and Computation 21 European Journal of Control 17 Journal of Optimization Theory and Applications 17 SIAM Journal on Control and Optimization 13 International Journal of Systems Science. Principles and Applications of Systems and Integration 12 SIAM Journal on Matrix Analysis and Applications 12 Optimization Letters 11 Optimal Control Applications & Methods 11 Nonlinear Analysis. 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Mathematical Analysis 2 Journal of Algebra and its Applications 2 Mathematics in Computer Science 2 Journal of Physics A: Mathematical and Theoretical 2 Electronic Journal of Statistics ...and 121 more Serials all top 5 Cited in 48 Fields 503 Operations research, mathematical programming (90-XX) 420 Systems theory; control (93-XX) 188 Numerical analysis (65-XX) 119 Linear and multilinear algebra; matrix theory (15-XX) 114 Calculus of variations and optimal control; optimization (49-XX) 95 Algebraic geometry (14-XX) 76 Computer science (68-XX) 42 Ordinary differential equations (34-XX) 42 Convex and discrete geometry (52-XX) 41 Operator theory (47-XX) 39 Commutative algebra (13-XX) 34 Statistics (62-XX) 29 Information and communication theory, circuits (94-XX) 27 Dynamical systems and ergodic theory (37-XX) 24 Integral transforms, operational calculus (44-XX) 24 Probability theory and stochastic processes (60-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Field theory and polynomials (12-XX) 19 Biology and other natural sciences (92-XX) 18 Real functions (26-XX) 18 Quantum theory (81-XX) 17 Approximations and expansions (41-XX) 14 Number theory (11-XX) 14 Partial differential equations (35-XX) 13 Mechanics of particles and systems (70-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Functional analysis (46-XX) 11 Measure and integration (28-XX) 9 Mechanics of deformable solids (74-XX) 8 Combinatorics (05-XX) 8 Difference and functional equations (39-XX) 7 Geometry (51-XX) 6 Functions of a complex variable (30-XX) 6 Integral equations (45-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Fluid mechanics (76-XX) 3 General algebraic systems (08-XX) 3 Differential geometry (53-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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