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Henrion, Didier

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Author ID: henrion.didier Recent zbMATH articles by "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
all top 5

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

Publications by Year

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
146
2009
GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi. Zbl 1070.65549
Henrion, Didier; Lasserre, Jean-Bernard
80
2003
Detecting global optimality and extracting solutions in GloptiPoly. Zbl 1119.93301
Henrion, Didier; Lassere, Jean-Bernard
65
2005
Convergent relaxations of polynomial matrix inequalities and static output feedback. Zbl 1366.93180
Henrion, Didier; Lasserre, Jean-Bernard
49
2006
Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193
Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel
45
2008
Positive polynomials in control. Zbl 1059.93002
Henrion, Didier (ed.); Garulli, Andrea (ed.)
36
2005
Convex computation of the region of attraction of polynomial control systems. Zbl 1360.93601
Henrion, Didier; Korda, Milan
31
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
31
2007
Positive polynomials and robust stabilization with fixed-order controllers. Zbl 1364.93707
Henrion, Didier; Šebek, Michael; Kučera, Vladimír
30
2003
Approximate volume and integration for basic semialgebraic sets. Zbl 1179.14037
Henrion, D.; Lasserre, J. B.; Savorgnan, C.
20
2009
Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490
Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L.
18
2006
Fixed-order robust \(H_{\infty}\) controller design with regional pole assignment. Zbl 1366.93165
Yang, Fuwen; Gani, Mahbub; Henrion, Didier
16
2007
Output feedback robust stabilization of uncertain linear systems with saturating controls: An LMI approach. Zbl 0958.93086
Henrion, Didier; Tarbouriech, Sophie; Garcia, Germain
16
1999
Detecting rigid convexity of bivariate polynomials. Zbl 1183.65023
Henrion, Didier
14
2010
Exact algorithms for linear matrix inequalities. Zbl 1356.90102
Henrion, Didier; Naldi, Simone; El Din, Mohab Safey
13
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
13
2009
Positive polynomial matrices and improved LMI robustness conditions. Zbl 1037.93027
Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitri
13
2003
\(\mathcal D\)-stability of polynomial matrices. Zbl 1011.93083
Henrion, Didier; Bachelier, Olivier; Šebek, Michael
13
2001
Convex computation of the maximum controlled invariant set for polynomial control systems. Zbl 1311.49073
Korda, Milan; Henrion, Didier; Jones, Colin N.
11
2014
Inner approximations for polynomial matrix inequalities and robust stability regions. Zbl 1369.93460
Henrion, Didier; Lasserre, Jean-Bernard
10
2012
Semidefinite geometry of the numerical range. Zbl 1205.14076
Henrion, Didier
10
2010
Ellipsoidal approximation of the stability domain of a polynomial. Zbl 1364.93568
Henrion, Didier; Peaucelle, Dimitri; Arzelier, Denis; Šebek, Michael
10
2003
An LMI condition for robust stability of polynomial matrix polytopes. Zbl 0982.93057
Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitry; Šebek, Michael
10
2001
LMI relaxations for robust stability of linear systems with saturating controls. Zbl 0948.93524
Henrion, Didier; Tarbouriech, Sophie
10
1999
Strong duality in lasserre’s hierarchy for polynomial optimization. Zbl 1339.90267
Josz, Cédric; Henrion, Didier
9
2016
Robust root-clustering of a matrix in intersections or unions of regions. Zbl 1101.93059
Bachelier, Olivier; Henrion, Didier; Pradin, Bernard; Mehdi, Driss
9
2004
Rank-one LMI approach to simultaneous stabilization of linear systems. Zbl 1043.93545
Henrion, Didier; Tarbouriech, Sophie; Šebek, Michael
9
1999
Piecewise-linear robust control of systems with input constraints. Zbl 0955.93039
Henrion, D.; Garcia, G.; Tarbouriech, S.
9
1999
Semidefinite representation of convex hulls of rational varieties. Zbl 1279.90128
Henrion, Didier
8
2011
Control of linear systems subject to input constraints: A polynomial approach. Zbl 1034.93039
Henrion, Didier; Tarbouriech, Sophie; Kučera, Vladimír
8
2001
LMI approximations for the radius of the intersection of ellipsoids: Survey. Zbl 1033.93058
Henrion, D.; Tarbouriech, S.; Arzelier, D.
8
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.
7
2017
Semidefinite approximations of projections and polynomial images of semialgebraic sets. Zbl 1327.14241
Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard
7
2015
Projection methods in conic optimization. Zbl 1334.90105
Henrion, Didier; Malick, Jérôme
7
2012
Robust \(\mathcal D\) stabilization of a polytope of matrices. Zbl 1011.93053
Arzelier, D.; Henrion, D.; Peaucelle, D.
7
2002
Rank-one LMIs and Lyapunov’s inequality. Zbl 1016.93029
Henrion, Didier; Meinsma, Gjerrit
7
2001
Modal occupation measures and LMI relaxations for nonlinear switched systems control. Zbl 1329.49051
Claeys, Mathieu; Daafouz, Jamal; Henrion, Didier
6
2016
Measures and LMIs for impulsive nonlinear optimal control. Zbl 1360.93492
Claeys, Mathieu; Arzelier, Denis; Henrion, Didier; Lasserre, Jean-Bernard
6
2014
Projection methods for conic feasibility problems: applications to polynomial sum-of-squares decompositions. Zbl 1228.90071
Henrion, Didier; Malick, Jérôme
6
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
6
2005
Reliable numerical methods for polynomial matrix triangularization. Zbl 0956.65036
Henrion, Didier; Šebek, Michael
6
1999
Linear conic optimization for inverse optimal control. Zbl 1342.93063
Pauwels, Edouard; Henrion, Didier; Lasserre, Jean-Bernard
4
2016
Real root finding for determinants of linear matrices. Zbl 1329.65090
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
4
2016
Finding largest small polygons with gloptipoly. Zbl 1272.90059
Henrion, Didier; Messine, Frédéric
4
2013
Robust pole placement for second-order systems: an LMI approach. Zbl 1249.93169
Henrion, Didier; Šebek, Michael; Kučera, Vladimír
4
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
Rank-one LMI approach to stability of 2-D polynomial matrices. Zbl 0976.93043
Henrion, Didier; Šebek, Michael; Bachelier, Olivier
4
2001
Improved polynomial matrix determinant computation. Zbl 0968.65026
Henrion, Didier; Šebek, Michael
4
1999
Semidefinite approximations of invariant measures for polynomial systems. Zbl 1423.90172
Magron, Victor; Forets, Marcelo; Henrion, Didier
3
2019
Simple approximations of semialgebraic sets and their applications to control. Zbl 1357.93058
Dabbene, Fabrizio; Henrion, Didier; Lagoa, Constantino M.
3
2017
Convergence rates of moment-sum-of-squares hierarchies for optimal control problems. Zbl 1356.49058
Korda, Milan; Henrion, Didier; Jones, Colin N.
3
2017
Controller design and value function approximation for nonlinear dynamical systems. Zbl 1335.49050
Korda, Milan; Henrion, Didier; Jones, Colin N.
3
2016
Real root finding for rank defects in linear Hankel matrices. Zbl 1345.65024
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
3
2015
Approximating Pareto curves using semidefinite relaxations. Zbl 1408.90273
Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard
3
2014
Semidefinite programming for optimizing convex bodies under width constraints. Zbl 1244.49054
Bayen, Térence; Henrion, Didier
3
2012
Guest editorial: Special issue on positive polynomials in control. Zbl 1367.93006
Chesi, Graziano (ed.); Henrion, Didier (ed.)
3
2009
An improved Toeplitz algorithm for polynomial matrix null-space computation. Zbl 1161.65035
Zúñiga Anaya, J. C.; Henrion, D.
3
2009
LMIs for constrained polynomial interpolation with application in trajectory planning. Zbl 1129.93460
Henrion, Didier; Lasserre, Jean-Bernard
3
2006
An algorithm for polynomial matrix factor extraction. Zbl 1006.93520
Henrion, Didier; Šebek, Michael
3
2000
Symmetric matrix polynomial equation: Interpolation results. Zbl 0935.65042
Henrion, Didier; Šebek, Michael
3
1998
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
2
2020
Approximate optimal designs for multivariate polynomial regression. Zbl 1417.62219
De Castro, Yohann; Gamboa, Fabrice; Henrion, Didier; Hess, Roxana; Lasserre, Jean-Bernard
2
2019
Semi-definite relaxations for optimal control problems with oscillation and concentration effects. Zbl 1358.49026
Claeys, Mathieu; Henrion, Didier; Kružík, Martin
2
2017
Minimizing the sum of many rational functions. Zbl 1364.90268
Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard
2
2016
Design of Marx generators as a structured eigenvalue assignment. Zbl 1302.93119
Galeani, Sergio; Henrion, Didier; Jacquemard, Alain; Zaccarian, Luca
2
2014
Mean squared error minimization for inverse moment problems. Zbl 1297.49064
Henrion, Didier; Lasserre, Jean B.; Mevissen, Martin
2
2014
Convex inner approximations of nonconvex semialgebraic sets applied to fixed-order controller design. Zbl 1417.93109
Henrion, Didier; Louembet, Christophe
2
2012
Positive trigonometric polynomials for strong stability of difference equations. Zbl 1257.93073
Henrion, Didier; Vyhlídal, Tomáš
2
2012
Semidefinite characterisation of invariant measures for one-dimensional discrete dynamical systems. Zbl 1255.37002
Henrion, Didier
2
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.
2
2012
A Toeplitz algorithm for polynomial \(J\)-spectral factorization. Zbl 1120.65053
Zúñiga, Juan Carlos; Henrion, Didier
2
2006
LMI optimization for fixed-order \(H_{\infty}\) controller design. Zbl 1138.93335
Henrion, Didier
2
2005
Solving global optimization problems over polynomials with GloptiPoly 2.1. Zbl 1255.90095
Henrion, Didier; Lasserre, Jean-Bernard
2
2003
Linear matrix inequalities for robust strictly positive real design. Zbl 1368.93137
Henrion, Didier
2
2002
Low-order robust controller design for interval plants. Zbl 1038.93073
Henrion, Didier; Bachelier, Olivier
2
2001
Semidefinite approximations of reachable sets for discrete-time polynomial systems. Zbl 1421.90110
Magron, Victor; Garoche, Pierre-Loic; Henrion, Didier; Thirioux, Xavier
1
2019
Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 07245516
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
1
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
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.)
1
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.
1
2016
Semidefinite approximations of the polynomial abscissa. Zbl 1351.90127
Heß, Roxana; Henrion, Didier; Lasserre, Jean-Bernard; Phạm, Tien Son
1
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
1
2015
A hierarchy of LMI inner approximations of the set of stable polynomials. Zbl 1220.93029
Rami, Mustapha Ait; Henrion, Didier
1
2011
Hermite matrix in Lagrange basis for scaling static output feedback polynomial matrix inequalities. Zbl 1208.90174
Delibaşı, Akın; Henrion, Didier
1
2010
On convexity of the frequency response of a stable polynomial. Zbl 1367.93465
Henrion, Didier
1
2008
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
Rank-one LMI approach to robust stability of polynomial matrices. Zbl 1265.93194
Henrion, Didier; Sagimoto, Kenji; Šebek, Michael
1
2002
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
2
2020
Semidefinite approximations of invariant measures for polynomial systems. Zbl 1423.90172
Magron, Victor; Forets, Marcelo; Henrion, Didier
3
2019
Approximate optimal designs for multivariate polynomial regression. Zbl 1417.62219
De Castro, Yohann; Gamboa, Fabrice; Henrion, Didier; Hess, Roxana; Lasserre, Jean-Bernard
2
2019
Semidefinite approximations of reachable sets for discrete-time polynomial systems. Zbl 1421.90110
Magron, Victor; Garoche, Pierre-Loic; Henrion, Didier; Thirioux, Xavier
1
2019
Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 07245516
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
1
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.
7
2017
Simple approximations of semialgebraic sets and their applications to control. Zbl 1357.93058
Dabbene, Fabrizio; Henrion, Didier; Lagoa, Constantino M.
3
2017
Convergence rates of moment-sum-of-squares hierarchies for optimal control problems. Zbl 1356.49058
Korda, Milan; Henrion, Didier; Jones, Colin N.
3
2017
Semi-definite relaxations for optimal control problems with oscillation and concentration effects. Zbl 1358.49026
Claeys, Mathieu; Henrion, Didier; Kružík, Martin
2
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.)
1
2017
Exact algorithms for linear matrix inequalities. Zbl 1356.90102
Henrion, Didier; Naldi, Simone; El Din, Mohab Safey
13
2016
Strong duality in lasserre’s hierarchy for polynomial optimization. Zbl 1339.90267
Josz, Cédric; Henrion, Didier
9
2016
Modal occupation measures and LMI relaxations for nonlinear switched systems control. Zbl 1329.49051
Claeys, Mathieu; Daafouz, Jamal; Henrion, Didier
6
2016
Linear conic optimization for inverse optimal control. Zbl 1342.93063
Pauwels, Edouard; Henrion, Didier; Lasserre, Jean-Bernard
4
2016
Real root finding for determinants of linear matrices. Zbl 1329.65090
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
4
2016
Controller design and value function approximation for nonlinear dynamical systems. Zbl 1335.49050
Korda, Milan; Henrion, Didier; Jones, Colin N.
3
2016
Minimizing the sum of many rational functions. Zbl 1364.90268
Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard
2
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.
1
2016
Semidefinite approximations of the polynomial abscissa. Zbl 1351.90127
Heß, Roxana; Henrion, Didier; Lasserre, Jean-Bernard; Phạm, Tien Son
1
2016
Semidefinite approximations of projections and polynomial images of semialgebraic sets. Zbl 1327.14241
Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard
7
2015
Real root finding for rank defects in linear Hankel matrices. Zbl 1345.65024
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
3
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
31
2014
Convex computation of the maximum controlled invariant set for polynomial control systems. Zbl 1311.49073
Korda, Milan; Henrion, Didier; Jones, Colin N.
11
2014
Measures and LMIs for impulsive nonlinear optimal control. Zbl 1360.93492
Claeys, Mathieu; Arzelier, Denis; Henrion, Didier; Lasserre, Jean-Bernard
6
2014
Approximating Pareto curves using semidefinite relaxations. Zbl 1408.90273
Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard
3
2014
Design of Marx generators as a structured eigenvalue assignment. Zbl 1302.93119
Galeani, Sergio; Henrion, Didier; Jacquemard, Alain; Zaccarian, Luca
2
2014
Mean squared error minimization for inverse moment problems. Zbl 1297.49064
Henrion, Didier; Lasserre, Jean B.; Mevissen, Martin
2
2014
Finding largest small polygons with gloptipoly. Zbl 1272.90059
Henrion, Didier; Messine, Frédéric
4
2013
Inner approximations for polynomial matrix inequalities and robust stability regions. Zbl 1369.93460
Henrion, Didier; Lasserre, Jean-Bernard
10
2012
Projection methods in conic optimization. Zbl 1334.90105
Henrion, Didier; Malick, Jérôme
7
2012
Semidefinite programming for optimizing convex bodies under width constraints. Zbl 1244.49054
Bayen, Térence; Henrion, Didier
3
2012
Convex inner approximations of nonconvex semialgebraic sets applied to fixed-order controller design. Zbl 1417.93109
Henrion, Didier; Louembet, Christophe
2
2012
Positive trigonometric polynomials for strong stability of difference equations. Zbl 1257.93073
Henrion, Didier; Vyhlídal, Tomáš
2
2012
Semidefinite characterisation of invariant measures for one-dimensional discrete dynamical systems. Zbl 1255.37002
Henrion, Didier
2
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.
2
2012
Semidefinite representation of convex hulls of rational varieties. Zbl 1279.90128
Henrion, Didier
8
2011
Projection methods for conic feasibility problems: applications to polynomial sum-of-squares decompositions. Zbl 1228.90071
Henrion, Didier; Malick, Jérôme
6
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
14
2010
Semidefinite geometry of the numerical range. Zbl 1205.14076
Henrion, Didier
10
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
146
2009
Approximate volume and integration for basic semialgebraic sets. Zbl 1179.14037
Henrion, D.; Lasserre, J. B.; Savorgnan, C.
20
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
13
2009
Guest editorial: Special issue on positive polynomials in control. Zbl 1367.93006
Chesi, Graziano (ed.); Henrion, Didier (ed.)
3
2009
An improved Toeplitz algorithm for polynomial matrix null-space computation. Zbl 1161.65035
Zúñiga Anaya, J. C.; Henrion, D.
3
2009
Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193
Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel
45
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
31
2007
Fixed-order robust \(H_{\infty}\) controller design with regional pole assignment. Zbl 1366.93165
Yang, Fuwen; Gani, Mahbub; Henrion, Didier
16
2007
Convergent relaxations of polynomial matrix inequalities and static output feedback. Zbl 1366.93180
Henrion, Didier; Lasserre, Jean-Bernard
49
2006
Stabilization via nonsmooth, nonconvex optimization. Zbl 1366.93490
Burke, James V.; Henrion, Didier; Lewis, Adrian S.; Overton, Michael L.
18
2006
LMIs for constrained polynomial interpolation with application in trajectory planning. Zbl 1129.93460
Henrion, Didier; Lasserre, Jean-Bernard
3
2006
A Toeplitz algorithm for polynomial \(J\)-spectral factorization. Zbl 1120.65053
Zúñiga, Juan Carlos; Henrion, Didier
2
2006
Detecting global optimality and extracting solutions in GloptiPoly. Zbl 1119.93301
Henrion, Didier; Lassere, Jean-Bernard
65
2005
Positive polynomials in control. Zbl 1059.93002
Henrion, Didier (ed.); Garulli, Andrea (ed.)
36
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
6
2005
Robust pole placement for second-order systems: an LMI approach. Zbl 1249.93169
Henrion, Didier; Šebek, Michael; Kučera, Vladimír
4
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
9
2004
GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi. Zbl 1070.65549
Henrion, Didier; Lasserre, Jean-Bernard
80
2003
Positive polynomials and robust stabilization with fixed-order controllers. Zbl 1364.93707
Henrion, Didier; Šebek, Michael; Kučera, Vladimír
30
2003
Positive polynomial matrices and improved LMI robustness conditions. Zbl 1037.93027
Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitri
13
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.
7
2002
Linear matrix inequalities for robust strictly positive real design. Zbl 1368.93137
Henrion, Didier
2
2002
Rank-one LMI approach to robust stability of polynomial matrices. Zbl 1265.93194
Henrion, Didier; Sagimoto, Kenji; Šebek, Michael
1
2002
\(\mathcal D\)-stability of polynomial matrices. Zbl 1011.93083
Henrion, Didier; Bachelier, Olivier; Šebek, Michael
13
2001
An LMI condition for robust stability of polynomial matrix polytopes. Zbl 0982.93057
Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitry; Šebek, Michael
10
2001
Control of linear systems subject to input constraints: A polynomial approach. Zbl 1034.93039
Henrion, Didier; Tarbouriech, Sophie; Kučera, Vladimír
8
2001
LMI approximations for the radius of the intersection of ellipsoids: Survey. Zbl 1033.93058
Henrion, D.; Tarbouriech, S.; Arzelier, D.
8
2001
Rank-one LMIs and Lyapunov’s inequality. Zbl 1016.93029
Henrion, Didier; Meinsma, Gjerrit
7
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
2
2001
An algorithm for polynomial matrix factor extraction. Zbl 1006.93520
Henrion, Didier; Šebek, Michael
3
2000
Output feedback robust stabilization of uncertain linear systems with saturating controls: An LMI approach. Zbl 0958.93086
Henrion, Didier; Tarbouriech, Sophie; Garcia, Germain
16
1999
LMI relaxations for robust stability of linear systems with saturating controls. Zbl 0948.93524
Henrion, Didier; Tarbouriech, Sophie
10
1999
Rank-one LMI approach to simultaneous stabilization of linear systems. Zbl 1043.93545
Henrion, Didier; Tarbouriech, Sophie; Šebek, Michael
9
1999
Piecewise-linear robust control of systems with input constraints. Zbl 0955.93039
Henrion, D.; Garcia, G.; Tarbouriech, S.
9
1999
Reliable numerical methods for polynomial matrix triangularization. Zbl 0956.65036
Henrion, Didier; Šebek, Michael
6
1999
Improved polynomial matrix determinant computation. Zbl 0968.65026
Henrion, Didier; Šebek, Michael
4
1999
Symmetric matrix polynomial equation: Interpolation results. Zbl 0935.65042
Henrion, Didier; Šebek, Michael
3
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
all top 5

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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