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## Henrion, Didier

Compute Distance To:
 Author ID: henrion.didier Published as: Henrion, D.; Henrion, Didier External Links: MGP · Wikidata
 Documents Indexed: 98 Publications since 1998, including 1 Book Reviewing Activity: 246 Reviews
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#### Co-Authors

 8 single-authored 20 Lasserre, Jean-Bernard 14 Šebek, Michael 8 Arzelier, Denis 7 Tarbouriech, Sophie 6 Kučera, Vladimir V. 6 Naldi, Simone 6 Peaucelle, Dimitri 6 Safey El Din, Mohab 5 Korda, Milan 4 Bachelier, Olivier 4 Magron, Victor 3 Claeys, Mathieu 3 Garoche, Pierre-Loïc 3 Jones, Colin Neil 2 Bugarin, Florian 2 De Castro, Yohann 2 Feron, Eric 2 Gamboa, Fabrice 2 Garcia, Germain 2 Heß, Roxana 2 Ježek, Jan 2 Kružík, Martin 2 Kuhlmann, Salma 2 Malick, Jérôme 2 Vinnikov, Victor 2 Vyhlídal, Tomáš 2 Weißer, Tillmann 1 Aangenent, Wouter H. T. M. 1 Ait Rami, Mustapha 1 Anderle, Milan 1 Bartoli, Adrien 1 Bayen, Térence 1 Burke, James V. 1 Cantwell, Brian J. 1 Čelikovský, Sergej 1 Chesi, Graziano 1 Daafouz, Jamal 1 Dabbene, Fabrizio 1 Davy, Guillaume 1 Delibaşı, Akın 1 Forets, Marcelo 1 Galeani, Sergio 1 Gani, Mahbub 1 Garulli, Andrea 1 Gouaisbaut, Frédéric 1 Heemels, W. P. Maurice H. 1 Infusino, Maria 1 Jacquemard, Alain 1 Jaulin, Luc 1 Jobredeaux, Romain 1 Josz, Cédric 1 Lagoa, Constantino M. 1 Lewis, Adrian S. 1 Löfberg, Johan 1 Louembet, Christophe 1 Marx, Swann 1 Mehdi, Driss 1 Meinsma, Gjerrit 1 Messine, Frédéric 1 Mevissen, Martin 1 Michiels, Wim 1 Molina-Cristóbal, Arturo 1 Nijmeijer, Henk 1 Orteu, Jean-José 1 Overton, Michael L. 1 Pantel, Marc 1 Pauwels, Edouard Jean Robert 1 Phạm Tiên So’n 1 Pradin, Bernard 1 Prieur, Christophe 1 Rodrigues, Luis Henrique 1 Sagimoto, Kenji 1 Savorgnan, Carlo 1 Sentenac, Thierry 1 Söderström, Torsten 1 Steinbuch, Maarten 1 Thirioux, Xavier 1 Trélat, Emmanuel 1 van de Molengraft, M. J. G. 1 Wang, Timothy E. 1 Yang, Fuwen 1 Zaccarian, Luca 1 Zikmund, Jiří 1 Zítek, Pavel 1 Zúñiga-Anaya, Juan C. 1 Zúñiga, Juan Carlos
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#### Serials

 15 Automatica 15 IEEE Transactions on Automatic Control 7 International Journal of Control 7 SIAM Journal on Control and Optimization 4 Kybernetika 3 Systems & Control Letters 3 European Journal of Control 3 Optimization Methods & Software 2 Journal of Symbolic Computation 2 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 2 SIAM Journal on Optimization 2 Oberwolfach Reports 2 Optimization Letters 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 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 Reliable Computing 1 ELA. The Electronic Journal of Linear Algebra 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Optimization and Engineering 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
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#### Fields

 55 Systems theory; control (93-XX) 53 Operations research, mathematical programming (90-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Numerical analysis (65-XX) 12 Algebraic geometry (14-XX) 9 Computer science (68-XX) 6 Field theory and polynomials (12-XX) 4 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

87 Publications have been cited 941 times in 669 Documents Cited by Year
GloptiPoly 3: moments, optimization and semidefinite programming. Zbl 1178.90277
Henrion, Didier; Lasserre, Jean-Bernard; Löfberg, Johan
2009
GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi. Zbl 1070.65549
Henrion, Didier; Lasserre, Jean-Bernard
2003
Detecting global optimality and extracting solutions in GloptiPoly. Zbl 1119.93301
Henrion, Didier; Lassere, Jean-Bernard
2005
Convergent relaxations of polynomial matrix inequalities and static output feedback. Zbl 1366.93180
Henrion, Didier; Lasserre, Jean-Bernard
2006
Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193
Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel
2008
Positive polynomials in control. Zbl 1059.93002
Henrion, Didier (ed.); Garulli, Andrea (ed.)
2005
Convex computation of the region of attraction of polynomial control systems. Zbl 1360.93601
Henrion, Didier; Korda, Milan
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
2007
Positive polynomials and robust stabilization with fixed-order controllers. Zbl 1364.93707
Henrion, Didier; Šebek, Michael; Kučera, Vladimír
2003
Approximate volume and integration for basic semialgebraic sets. Zbl 1179.14037
Henrion, D.; Lasserre, J. B.; Savorgnan, C.
2009
Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490
Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L.
2006
Fixed-order robust $$H_{\infty}$$ controller design with regional pole assignment. Zbl 1366.93165
Yang, Fuwen; Gani, Mahbub; Henrion, Didier
2007
Output feedback robust stabilization of uncertain linear systems with saturating controls: An LMI approach. Zbl 0958.93086
Henrion, Didier; Tarbouriech, Sophie; Garcia, Germain
1999
Detecting rigid convexity of bivariate polynomials. Zbl 1183.65023
Henrion, Didier
2010
Exact algorithms for linear matrix inequalities. Zbl 1356.90102
Henrion, Didier; Naldi, Simone; El Din, Mohab Safey
2016
Strong stability of neutral equations with an arbitrary delay dependency structure. Zbl 1194.93190
Michiels, Wim; Vyhlídal, Tomáš; Zítek, Pavel; Nijmeijer, Henk; Henrion, Didier
2009
Positive polynomial matrices and improved LMI robustness conditions. Zbl 1037.93027
Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitri
2003
$$\mathcal D$$-stability of polynomial matrices. Zbl 1011.93083
Henrion, Didier; Bachelier, Olivier; Šebek, Michael
2001
Convex computation of the maximum controlled invariant set for polynomial control systems. Zbl 1311.49073
Korda, Milan; Henrion, Didier; Jones, Colin N.
2014
Inner approximations for polynomial matrix inequalities and robust stability regions. Zbl 1369.93460
Henrion, Didier; Lasserre, Jean-Bernard
2012
Semidefinite geometry of the numerical range. Zbl 1205.14076
Henrion, Didier
2010
Ellipsoidal approximation of the stability domain of a polynomial. Zbl 1364.93568
Henrion, Didier; Peaucelle, Dimitri; Arzelier, Denis; Šebek, Michael
2003
An LMI condition for robust stability of polynomial matrix polytopes. Zbl 0982.93057
Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitry; Šebek, Michael
2001
LMI relaxations for robust stability of linear systems with saturating controls. Zbl 0948.93524
Henrion, Didier; Tarbouriech, Sophie
1999
Strong duality in lasserre’s hierarchy for polynomial optimization. Zbl 1339.90267
Josz, Cédric; Henrion, Didier
2016
Robust root-clustering of a matrix in intersections or unions of regions. Zbl 1101.93059
Bachelier, Olivier; Henrion, Didier; Pradin, Bernard; Mehdi, Driss
2004
Rank-one LMI approach to simultaneous stabilization of linear systems. Zbl 1043.93545
Henrion, Didier; Tarbouriech, Sophie; Šebek, Michael
1999
Piecewise-linear robust control of systems with input constraints. Zbl 0955.93039
Henrion, D.; Garcia, G.; Tarbouriech, S.
1999
Semidefinite representation of convex hulls of rational varieties. Zbl 1279.90128
Henrion, Didier
2011
Control of linear systems subject to input constraints: A polynomial approach. Zbl 1034.93039
Henrion, Didier; Tarbouriech, Sophie; Kučera, Vladimír
2001
LMI approximations for the radius of the intersection of ellipsoids: Survey. Zbl 1033.93058
Henrion, D.; Tarbouriech, S.; Arzelier, D.
2001
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.
2017
Semidefinite approximations of projections and polynomial images of semialgebraic sets. Zbl 1327.14241
Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard
2015
Projection methods in conic optimization. Zbl 1334.90105
Henrion, Didier; Malick, Jérôme
2012
Robust $$\mathcal D$$ stabilization of a polytope of matrices. Zbl 1011.93053
Arzelier, D.; Henrion, D.; Peaucelle, D.
2002
Rank-one LMIs and Lyapunov’s inequality. Zbl 1016.93029
Henrion, Didier; Meinsma, Gjerrit
2001
Modal occupation measures and LMI relaxations for nonlinear switched systems control. Zbl 1329.49051
Claeys, Mathieu; Daafouz, Jamal; Henrion, Didier
2016
Measures and LMIs for impulsive nonlinear optimal control. Zbl 1360.93492
Claeys, Mathieu; Arzelier, Denis; Henrion, Didier; Lasserre, Jean-Bernard
2014
Projection methods for conic feasibility problems: applications to polynomial sum-of-squares decompositions. Zbl 1228.90071
Henrion, Didier; Malick, Jérôme
2011
Control of linear systems subject to time-domain constraints with polynomial pole placement and LMIs. Zbl 1365.93197
Henrion, Didier; Tarbouriech, Sophie; Kučera, Vladimir
2005
Reliable numerical methods for polynomial matrix triangularization. Zbl 0956.65036
Henrion, Didier; Šebek, Michael
1999
Linear conic optimization for inverse optimal control. Zbl 1342.93063
Pauwels, Edouard; Henrion, Didier; Lasserre, Jean-Bernard
2016
Real root finding for determinants of linear matrices. Zbl 1329.65090
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
2016
Finding largest small polygons with gloptipoly. Zbl 1272.90059
Henrion, Didier; Messine, Frédéric
2013
Robust pole placement for second-order systems: an LMI approach. Zbl 1249.93169
Henrion, Didier; Šebek, Michael; Kučera, Vladimír
2005
Contracting optimally an interval matrix without loosing any positive semi-definite matrix is a tractable problem. Zbl 1076.65041
Jaulin, Luc; Henrion, Didier
2005
Rank-one LMI approach to stability of 2-D polynomial matrices. Zbl 0976.93043
Henrion, Didier; Šebek, Michael; Bachelier, Olivier
2001
Improved polynomial matrix determinant computation. Zbl 0968.65026
Henrion, Didier; Šebek, Michael
1999
Semidefinite approximations of invariant measures for polynomial systems. Zbl 1423.90172
Magron, Victor; Forets, Marcelo; Henrion, Didier
2019
Simple approximations of semialgebraic sets and their applications to control. Zbl 1357.93058
Dabbene, Fabrizio; Henrion, Didier; Lagoa, Constantino M.
2017
Convergence rates of moment-sum-of-squares hierarchies for optimal control problems. Zbl 1356.49058
Korda, Milan; Henrion, Didier; Jones, Colin N.
2017
Controller design and value function approximation for nonlinear dynamical systems. Zbl 1335.49050
Korda, Milan; Henrion, Didier; Jones, Colin N.
2016
Real root finding for rank defects in linear Hankel matrices. Zbl 1345.65024
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
2015
Approximating Pareto curves using semidefinite relaxations. Zbl 1408.90273
Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard
2014
Semidefinite programming for optimizing convex bodies under width constraints. Zbl 1244.49054
Bayen, Térence; Henrion, Didier
2012
Guest editorial: Special issue on positive polynomials in control. Zbl 1367.93006
Chesi, Graziano (ed.); Henrion, Didier (ed.)
2009
An improved Toeplitz algorithm for polynomial matrix null-space computation. Zbl 1161.65035
Zúñiga Anaya, J. C.; Henrion, D.
2009
LMIs for constrained polynomial interpolation with application in trajectory planning. Zbl 1129.93460
Henrion, Didier; Lasserre, Jean-Bernard
2006
An algorithm for polynomial matrix factor extraction. Zbl 1006.93520
Henrion, Didier; Šebek, Michael
2000
Symmetric matrix polynomial equation: Interpolation results. Zbl 0935.65042
Henrion, Didier; Šebek, Michael
1998
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
2020
Approximate optimal designs for multivariate polynomial regression. Zbl 1417.62219
De Castro, Yohann; Gamboa, Fabrice; Henrion, Didier; Hess, Roxana; Lasserre, Jean-Bernard
2019
Semi-definite relaxations for optimal control problems with oscillation and concentration effects. Zbl 1358.49026
Claeys, Mathieu; Henrion, Didier; Kružík, Martin
2017
Minimizing the sum of many rational functions. Zbl 1364.90268
Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard
2016
Design of Marx generators as a structured eigenvalue assignment. Zbl 1302.93119
Galeani, Sergio; Henrion, Didier; Jacquemard, Alain; Zaccarian, Luca
2014
Mean squared error minimization for inverse moment problems. Zbl 1297.49064
Henrion, Didier; Lasserre, Jean B.; Mevissen, Martin
2014
Convex inner approximations of nonconvex semialgebraic sets applied to fixed-order controller design. Zbl 1417.93109
Henrion, Didier; Louembet, Christophe
2012
Positive trigonometric polynomials for strong stability of difference equations. Zbl 1257.93073
Henrion, Didier; Vyhlídal, Tomáš
2012
Semidefinite characterisation of invariant measures for one-dimensional discrete dynamical systems. Zbl 1255.37002
Henrion, Didier
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.
2012
A Toeplitz algorithm for polynomial $$J$$-spectral factorization. Zbl 1120.65053
Zúñiga, Juan Carlos; Henrion, Didier
2006
LMI optimization for fixed-order $$H_{\infty}$$ controller design. Zbl 1138.93335
Henrion, Didier
2005
Solving global optimization problems over polynomials with GloptiPoly 2.1. Zbl 1255.90095
Henrion, Didier; Lasserre, Jean-Bernard
2003
Linear matrix inequalities for robust strictly positive real design. Zbl 1368.93137
Henrion, Didier
2002
Low-order robust controller design for interval plants. Zbl 1038.93073
Henrion, Didier; Bachelier, Olivier
2001
Semidefinite approximations of reachable sets for discrete-time polynomial systems. Zbl 1421.90110
Magron, Victor; Garoche, Pierre-Loic; Henrion, Didier; Thirioux, Xavier
2019
Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 07245516
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
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
2018
Real algebraic geometry with a view toward moment problems and optimization. Abstracts from the workshop held March 5 – March 11, 2017. Zbl 1390.00099
Henrion, Didier (ed.); Infusino, Maria (ed.); Kuhlmann, Salma (ed.); Vinnikov, Victor (ed.)
2017
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.
2016
Semidefinite approximations of the polynomial abscissa. Zbl 1351.90127
Heß, Roxana; Henrion, Didier; Lasserre, Jean-Bernard; Phạm, Tien Son
2016
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
2015
A hierarchy of LMI inner approximations of the set of stable polynomials. Zbl 1220.93029
Rami, Mustapha Ait; Henrion, Didier
2011
Hermite matrix in Lagrange basis for scaling static output feedback polynomial matrix inequalities. Zbl 1208.90174
Delibaşı, Akın; Henrion, Didier
2010
On convexity of the frequency response of a stable polynomial. Zbl 1367.93465
Henrion, Didier
2008
Optimizing simultaneously over the numerator and denominator polynomials in the Youla-Kučera parametrization. Zbl 1365.93463
Henrion, Didier; Kučera, Vladimir; Molina-Cristóbal, Arturo
2005
Rank-one LMI approach to robust stability of polynomial matrices. Zbl 1265.93194
Henrion, Didier; Sagimoto, Kenji; Šebek, Michael
2002
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
2020
Semidefinite approximations of invariant measures for polynomial systems. Zbl 1423.90172
Magron, Victor; Forets, Marcelo; Henrion, Didier
2019
Approximate optimal designs for multivariate polynomial regression. Zbl 1417.62219
De Castro, Yohann; Gamboa, Fabrice; Henrion, Didier; Hess, Roxana; Lasserre, Jean-Bernard
2019
Semidefinite approximations of reachable sets for discrete-time polynomial systems. Zbl 1421.90110
Magron, Victor; Garoche, Pierre-Loic; Henrion, Didier; Thirioux, Xavier
2019
Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 07245516
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
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
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.
2017
Simple approximations of semialgebraic sets and their applications to control. Zbl 1357.93058
Dabbene, Fabrizio; Henrion, Didier; Lagoa, Constantino M.
2017
Convergence rates of moment-sum-of-squares hierarchies for optimal control problems. Zbl 1356.49058
Korda, Milan; Henrion, Didier; Jones, Colin N.
2017
Semi-definite relaxations for optimal control problems with oscillation and concentration effects. Zbl 1358.49026
Claeys, Mathieu; Henrion, Didier; Kružík, Martin
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
Henrion, Didier (ed.); Infusino, Maria (ed.); Kuhlmann, Salma (ed.); Vinnikov, Victor (ed.)
2017
Exact algorithms for linear matrix inequalities. Zbl 1356.90102
Henrion, Didier; Naldi, Simone; El Din, Mohab Safey
2016
Strong duality in lasserre’s hierarchy for polynomial optimization. Zbl 1339.90267
Josz, Cédric; Henrion, Didier
2016
Modal occupation measures and LMI relaxations for nonlinear switched systems control. Zbl 1329.49051
Claeys, Mathieu; Daafouz, Jamal; Henrion, Didier
2016
Linear conic optimization for inverse optimal control. Zbl 1342.93063
Pauwels, Edouard; Henrion, Didier; Lasserre, Jean-Bernard
2016
Real root finding for determinants of linear matrices. Zbl 1329.65090
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
2016
Controller design and value function approximation for nonlinear dynamical systems. Zbl 1335.49050
Korda, Milan; Henrion, Didier; Jones, Colin N.
2016
Minimizing the sum of many rational functions. Zbl 1364.90268
Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard
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.
2016
Semidefinite approximations of the polynomial abscissa. Zbl 1351.90127
Heß, Roxana; Henrion, Didier; Lasserre, Jean-Bernard; Phạm, Tien Son
2016
Semidefinite approximations of projections and polynomial images of semialgebraic sets. Zbl 1327.14241
Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard
2015
Real root finding for rank defects in linear Hankel matrices. Zbl 1345.65024
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
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
2015
Convex computation of the region of attraction of polynomial control systems. Zbl 1360.93601
Henrion, Didier; Korda, Milan
2014
Convex computation of the maximum controlled invariant set for polynomial control systems. Zbl 1311.49073
Korda, Milan; Henrion, Didier; Jones, Colin N.
2014
Measures and LMIs for impulsive nonlinear optimal control. Zbl 1360.93492
Claeys, Mathieu; Arzelier, Denis; Henrion, Didier; Lasserre, Jean-Bernard
2014
Approximating Pareto curves using semidefinite relaxations. Zbl 1408.90273
Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard
2014
Design of Marx generators as a structured eigenvalue assignment. Zbl 1302.93119
Galeani, Sergio; Henrion, Didier; Jacquemard, Alain; Zaccarian, Luca
2014
Mean squared error minimization for inverse moment problems. Zbl 1297.49064
Henrion, Didier; Lasserre, Jean B.; Mevissen, Martin
2014
Finding largest small polygons with gloptipoly. Zbl 1272.90059
Henrion, Didier; Messine, Frédéric
2013
Inner approximations for polynomial matrix inequalities and robust stability regions. Zbl 1369.93460
Henrion, Didier; Lasserre, Jean-Bernard
2012
Projection methods in conic optimization. Zbl 1334.90105
Henrion, Didier; Malick, Jérôme
2012
Semidefinite programming for optimizing convex bodies under width constraints. Zbl 1244.49054
Bayen, Térence; Henrion, Didier
2012
Convex inner approximations of nonconvex semialgebraic sets applied to fixed-order controller design. Zbl 1417.93109
Henrion, Didier; Louembet, Christophe
2012
Positive trigonometric polynomials for strong stability of difference equations. Zbl 1257.93073
Henrion, Didier; Vyhlídal, Tomáš
2012
Semidefinite characterisation of invariant measures for one-dimensional discrete dynamical systems. Zbl 1255.37002
Henrion, Didier
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.
2012
Semidefinite representation of convex hulls of rational varieties. Zbl 1279.90128
Henrion, Didier
2011
Projection methods for conic feasibility problems: applications to polynomial sum-of-squares decompositions. Zbl 1228.90071
Henrion, Didier; Malick, Jérôme
2011
A hierarchy of LMI inner approximations of the set of stable polynomials. Zbl 1220.93029
Rami, Mustapha Ait; Henrion, Didier
2011
Detecting rigid convexity of bivariate polynomials. Zbl 1183.65023
Henrion, Didier
2010
Semidefinite geometry of the numerical range. Zbl 1205.14076
Henrion, Didier
2010
Hermite matrix in Lagrange basis for scaling static output feedback polynomial matrix inequalities. Zbl 1208.90174
Delibaşı, Akın; Henrion, Didier
2010
GloptiPoly 3: moments, optimization and semidefinite programming. Zbl 1178.90277
Henrion, Didier; Lasserre, Jean-Bernard; Löfberg, Johan
2009
Approximate volume and integration for basic semialgebraic sets. Zbl 1179.14037
Henrion, D.; Lasserre, J. B.; Savorgnan, C.
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
2009
Guest editorial: Special issue on positive polynomials in control. Zbl 1367.93006
Chesi, Graziano (ed.); Henrion, Didier (ed.)
2009
An improved Toeplitz algorithm for polynomial matrix null-space computation. Zbl 1161.65035
Zúñiga Anaya, J. C.; Henrion, D.
2009
Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193
Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel
2008
On convexity of the frequency response of a stable polynomial. Zbl 1367.93465
Henrion, Didier
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
2007
Fixed-order robust $$H_{\infty}$$ controller design with regional pole assignment. Zbl 1366.93165
Yang, Fuwen; Gani, Mahbub; Henrion, Didier
2007
Convergent relaxations of polynomial matrix inequalities and static output feedback. Zbl 1366.93180
Henrion, Didier; Lasserre, Jean-Bernard
2006
Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490
Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L.
2006
LMIs for constrained polynomial interpolation with application in trajectory planning. Zbl 1129.93460
Henrion, Didier; Lasserre, Jean-Bernard
2006
A Toeplitz algorithm for polynomial $$J$$-spectral factorization. Zbl 1120.65053
Zúñiga, Juan Carlos; Henrion, Didier
2006
Detecting global optimality and extracting solutions in GloptiPoly. Zbl 1119.93301
Henrion, Didier; Lassere, Jean-Bernard
2005
Positive polynomials in control. Zbl 1059.93002
Henrion, Didier (ed.); Garulli, Andrea (ed.)
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
2005
Robust pole placement for second-order systems: an LMI approach. Zbl 1249.93169
Henrion, Didier; Šebek, Michael; Kučera, Vladimír
2005
Contracting optimally an interval matrix without loosing any positive semi-definite matrix is a tractable problem. Zbl 1076.65041
Jaulin, Luc; Henrion, Didier
2005
LMI optimization for fixed-order $$H_{\infty}$$ controller design. Zbl 1138.93335
Henrion, Didier
2005
Optimizing simultaneously over the numerator and denominator polynomials in the Youla-Kučera parametrization. Zbl 1365.93463
Henrion, Didier; Kučera, Vladimir; Molina-Cristóbal, Arturo
2005
Robust root-clustering of a matrix in intersections or unions of regions. Zbl 1101.93059
Bachelier, Olivier; Henrion, Didier; Pradin, Bernard; Mehdi, Driss
2004
GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi. Zbl 1070.65549
Henrion, Didier; Lasserre, Jean-Bernard
2003
Positive polynomials and robust stabilization with fixed-order controllers. Zbl 1364.93707
Henrion, Didier; Šebek, Michael; Kučera, Vladimír
2003
Positive polynomial matrices and improved LMI robustness conditions. Zbl 1037.93027
Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitri
2003
Ellipsoidal approximation of the stability domain of a polynomial. Zbl 1364.93568
Henrion, Didier; Peaucelle, Dimitri; Arzelier, Denis; Šebek, Michael
2003
Solving global optimization problems over polynomials with GloptiPoly 2.1. Zbl 1255.90095
Henrion, Didier; Lasserre, Jean-Bernard
2003
Robust $$\mathcal D$$ stabilization of a polytope of matrices. Zbl 1011.93053
Arzelier, D.; Henrion, D.; Peaucelle, D.
2002
Linear matrix inequalities for robust strictly positive real design. Zbl 1368.93137
Henrion, Didier
2002
Rank-one LMI approach to robust stability of polynomial matrices. Zbl 1265.93194
Henrion, Didier; Sagimoto, Kenji; Šebek, Michael
2002
$$\mathcal D$$-stability of polynomial matrices. Zbl 1011.93083
Henrion, Didier; Bachelier, Olivier; Šebek, Michael
2001
An LMI condition for robust stability of polynomial matrix polytopes. Zbl 0982.93057
Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitry; Šebek, Michael
2001
Control of linear systems subject to input constraints: A polynomial approach. Zbl 1034.93039
Henrion, Didier; Tarbouriech, Sophie; Kučera, Vladimír
2001
LMI approximations for the radius of the intersection of ellipsoids: Survey. Zbl 1033.93058
Henrion, D.; Tarbouriech, S.; Arzelier, D.
2001
Rank-one LMIs and Lyapunov’s inequality. Zbl 1016.93029
Henrion, Didier; Meinsma, Gjerrit
2001
Rank-one LMI approach to stability of 2-D polynomial matrices. Zbl 0976.93043
Henrion, Didier; Šebek, Michael; Bachelier, Olivier
2001
Low-order robust controller design for interval plants. Zbl 1038.93073
Henrion, Didier; Bachelier, Olivier
2001
An algorithm for polynomial matrix factor extraction. Zbl 1006.93520
Henrion, Didier; Šebek, Michael
2000
Output feedback robust stabilization of uncertain linear systems with saturating controls: An LMI approach. Zbl 0958.93086
Henrion, Didier; Tarbouriech, Sophie; Garcia, Germain
1999
LMI relaxations for robust stability of linear systems with saturating controls. Zbl 0948.93524
Henrion, Didier; Tarbouriech, Sophie
1999
Rank-one LMI approach to simultaneous stabilization of linear systems. Zbl 1043.93545
Henrion, Didier; Tarbouriech, Sophie; Šebek, Michael
1999
Piecewise-linear robust control of systems with input constraints. Zbl 0955.93039
Henrion, D.; Garcia, G.; Tarbouriech, S.
1999
Reliable numerical methods for polynomial matrix triangularization. Zbl 0956.65036
Henrion, Didier; Šebek, Michael
1999
Improved polynomial matrix determinant computation. Zbl 0968.65026
Henrion, Didier; Šebek, Michael
1999
Symmetric matrix polynomial equation: Interpolation results. Zbl 0935.65042
Henrion, Didier; Šebek, Michael
1998
all top 5

#### Cited by 1,068 Authors

 45 Henrion, Didier 42 Lasserre, Jean-Bernard 24 Nie, Jiawang 16 Fan, Jinyan 13 Zhou, Anwa 10 Magron, Victor 8 Bachelier, Olivier 8 Klep, Igor 8 Kojima, Masakazu 8 Li, Guoyin 8 Peaucelle, Dimitri 7 Arzelier, Denis 7 Chien, Mao-Ting 7 Chu, Jian 7 Gaitsgory, Vladimir A. 7 Jeyakumar, Vaithilingam 7 Nakazato, Hiroshi 7 Park, Juhyun (Jessie) 7 Zhang, Xinzhen 6 Chesi, Graziano 6 Lam, James 6 Mehdi, Driss 6 Peres, Pedro L. D. 6 Povh, Janez 6 Pozdyaev, V. V. 6 Qi, Liqun 6 Safey El Din, Mohab 6 Šebek, Michael 6 Su, Hongye 6 Wu, Zhengguang 5 de Klerk, Etienne 5 Korda, Milan 5 Kučera, Vladimir V. 5 Laurent, Monique 5 Mesquine, Fouad 5 Michiels, Wim 5 Naldi, Simone 5 Oliveira, Ricardo C. L. F. 5 Tadeo, Fernando 5 Tarbouriech, Sophie 5 Zhang, Shuzhong 4 Ahmadi, Amir Ali 4 Benzaouia, Abdellah 4 Büyükköroğlu, Taner 4 Cerone, Vito 4 Claeys, Mathieu 4 Dzhafarov, Vakif 4 Goreac, Dan 4 Gouaisbaut, Frédéric 4 Guo, Feng 4 Helton, John William 4 Karimi, Alireza 4 Kim, Sunyoung 4 Li, Zhening 4 Meziat, René J. 4 Nataraj, Paluri S. V. 4 Parpas, Panos 4 Phạm Tiên So’n 4 Plaumann, Daniel 4 Regruto, Diego 4 Sadeghzadeh, Arash 4 Scherer, Carsten W. 4 Vandenberghe, Lieven 4 Weißer, Tillmann 4 Zhou, Guangming 3 Apkarian, Pierre 3 Augusta, Petr 3 Chernyshenko, Sergei I. 3 Chowdhury, Amor 3 Chuong, Thai Doan 3 Daafouz, Jamal 3 Demmel, James Weldon 3 Dey, Papri 3 Dumitrescu, Bogdan Alexandru 3 Ebihara, Yoshio 3 Galeani, Sergio 3 Garcia, Germain 3 Goluskin, David 3 He, Simai 3 Hu, Jun 3 Jaulin, Luc 3 Jiang, Bo 3 Jones, Colin Neil 3 Josz, Cédric 3 Jungers, Raphaël M. 3 Kružík, Martin 3 Lagoa, Constantino M. 3 Mazanti, Guilherme 3 Mevissen, Martin 3 Nguang, Sing Kiong 3 Overton, Michael L. 3 Parrilo, Pablo A. 3 Patiño, Diego 3 Piga, Dario 3 Quincampoix, Marc 3 Rustem, Berc 3 Saat, Shakir 3 Sari, Bilal 3 Sarjaš, Andrej 3 Scheiderer, Claus ...and 968 more Authors
all top 5

#### Cited in 156 Serials

 76 Automatica 36 Mathematical Programming. Series A. Series B 32 International Journal of Control 27 Journal of Global Optimization 24 SIAM Journal on Optimization 22 Systems & Control Letters 22 Computational Optimization and Applications 20 Linear Algebra and its Applications 19 European Journal of Control 18 Journal of the Franklin Institute 18 Applied Mathematics and Computation 18 International Journal of Robust and Nonlinear Control 15 Journal of Symbolic Computation 11 SIAM Journal on Control and Optimization 10 Journal of Optimization Theory and Applications 9 Kybernetika 8 International Journal of Systems Science. Principles and Applications of Systems and Integration 8 SIAM Journal on Applied Algebra and Geometry 7 Optimization Methods & Software 7 Optimization Letters 7 Asian Journal of Control 6 International Journal of Systems Science 6 Operations Research Letters 6 Multidimensional Systems and Signal Processing 6 Mathematical Problems in Engineering 6 Nonlinear Analysis. Hybrid Systems 5 Applied Mathematics and Optimization 5 Journal of Computational and Applied Mathematics 5 SIAM Journal on Matrix Analysis and Applications 5 Set-Valued and Variational Analysis 4 Optimal Control Applications & Methods 4 Automation and Remote Control 4 SIAM Journal on Mathematical Analysis 4 Journal of Mathematical Imaging and Vision 4 Nonlinear Dynamics 3 Journal of Mathematical Physics 3 Information Sciences 3 Mathematics and Computers in Simulation 3 Transactions of the American Mathematical Society 3 International Journal of Adaptive Control and Signal Processing 3 Applied Mathematical Modelling 3 European Journal of Operational Research 3 Mathematical Methods of Operations Research 3 Foundations of Computational Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Industrial and Management Optimization 3 Journal of Control Science and Engineering 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Biosciences 2 Archiv der Mathematik 2 Journal of the American Statistical Association 2 Journal of Pure and Applied Algebra 2 Proceedings of the American Mathematical Society 2 Theoretical Computer Science 2 Advances in Applied Mathematics 2 Circuits, Systems, and Signal Processing 2 Acta Applicandae Mathematicae 2 Optimization 2 SIAM Review 2 SIAM Journal on Scientific Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 SIAM Journal on Applied Dynamical Systems 2 Journal of Algebra and its Applications 2 Mathematics in Computer Science 2 Mathematical Programming Computation 2 Science China. Mathematics 2 Mathematical Control and Related Fields 2 Journal of the Operations Research Society of China 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Inverse Problems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of Fluid Mechanics 1 Nonlinearity 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 ACM Transactions on Mathematical Software 1 Advances in Mathematics 1 The Annals of Statistics 1 Calcolo 1 Collectanea Mathematica 1 Fuzzy Sets and Systems 1 International Journal of Circuit Theory and Applications 1 Journal of Functional Analysis 1 Kybernetes 1 Mathematics of Operations Research 1 Michigan Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Opsearch 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Computer Aided Geometric Design ...and 56 more Serials
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#### Cited in 47 Fields

 307 Operations research, mathematical programming (90-XX) 299 Systems theory; control (93-XX) 106 Numerical analysis (65-XX) 92 Linear and multilinear algebra; matrix theory (15-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 52 Algebraic geometry (14-XX) 33 Computer science (68-XX) 27 Ordinary differential equations (34-XX) 21 Commutative algebra (13-XX) 20 Operator theory (47-XX) 20 Convex and discrete geometry (52-XX) 17 Probability theory and stochastic processes (60-XX) 17 Information and communication theory, circuits (94-XX) 16 Integral transforms, operational calculus (44-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Real functions (26-XX) 13 Statistics (62-XX) 12 Field theory and polynomials (12-XX) 12 Biology and other natural sciences (92-XX) 11 Number theory (11-XX) 11 Quantum theory (81-XX) 9 Partial differential equations (35-XX) 8 Functional analysis (46-XX) 7 Difference and functional equations (39-XX) 7 Approximations and expansions (41-XX) 7 Mechanics of particles and systems (70-XX) 5 Functions of a complex variable (30-XX) 4 Measure and integration (28-XX) 4 Geometry (51-XX) 3 General algebraic systems (08-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX)

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