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Publications - Didier Henrion


Books and chapters (1)
1. * Didier Henrion, A. Garulli: Positive Polynomials in Control. Lecture Notes in Control and Information Science. 312. Springer, Berlin 2005.

Journal articles (29)
1. * D. Henrion, M. Korda, Martin Kružík, R. Rios-Zertuche: Occupation Measure Relaxations in Variational Problems: The Role of Convexity. SIAM Journal on Optimization 34:2 (2024), 1708-1731. SIAM Society for Industrial and Applied Mathematics.   Download
2. * D. Henrion, Martin Kružík, T. Weisser: Optimal control problems with oscillations, concentrations and discontinuities. Automatica 103:1 (2019), 159-165. Elsevier.   Download
3. * M. Claeys, D. Henrion, Martin Kružík: Semi-definite relaxations for optimal control problems with oscillation and concentration effects. ESAIM-Control Optimisation and Calculus of Variations 23:1 (2017), 95-117. EDP Sciences.   Download
4. * Milan Anderle, Sergej Čelikovský, D. Henrion, Jiří Zikmund: Advanced LMI based analysis and design for Acrobot walking. International Journal of Control 83:8 (2010), 1641-1652. Taylor & Francis.   Download
5. * Didier Henrion: LMI optimization for fixed-order H_infty controller design. Positive Polynomials in Control 312.
6. * J. L. M. Orozco, J. Ruiz-Leon, Didier Henrion, M. Šebek: Real-time H_2 and H_infty control of a gyroscope using a polynomial approach. Latin American Applied Research 35:3 (2005), 247-254.
7. * Didier Henrion, J. B. Lassere: Detecting global optimality and extracting solutions in GloptiPoly. Positive Polynomials in Control 312, 293-310.
8. * D. Henrion, Michael Šebek, Vladimír Kučera: Robust pole placement for second-order systems: an LMI approach. Kybernetika 41:1 (2005), 1-14. Ústav teorie informace a automatizace AV ČR, v. v. i..
9. * D. Henrion, S. Tarbouriech, Vladimír Kučera: Control of linear systems subject to time-domain constraints with polynomial pole placement and LMIs. IEEE Transactions on Automatic Control 50:9 (2005), 1360-1364. Institute of Electrical and Electronics Engineers.
10. * Didier Henrion, J. B. Lasserre: Solving nonconvex optimization problems. IEEE Control Systems Magazine 24:3 (2004), 72-83.
11. * Didier Henrion, D. Peaucelle, D. Arzelier, M. Šebek: Ellipsoidal approximation of the stability domain of a polynomial. IEEE Transactions on Automatic Control 48:12 (2003), 2255-2259. Institute of Electrical and Electronics Engineers.
12. * Didier Henrion, M. Šebek, V. Kučera: Positive polynomials and robust stabilization with fixed-order controllers. IEEE Transactions on Automatic Control 48:7 (2003), 1178-1186. Institute of Electrical and Electronics Engineers.
13. * Didier Henrion, D. Arzelier, D. Peaucelle: Positive polynomial matrices and improved LMI robustness conditions. Automatica 39:8 (2003), 1479-1485. Elsevier.
14. * Didier Henrion, J.-B. Lasserre: GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi. ACM Transactions on Mathematical Software, 165-194. Association for Computing Machinery.
15. * Didier Henrion, Jan Ježek, M. Šebek: Discrete-time symmetric polynomial equations with complex coefficients. Kybernetika 38:2 (2002), 113-139. Ústav teorie informace a automatizace AV ČR, v. v. i..
16. * T. Söderström, M. Šebek, Jan Ježek, V. Kučera, Didier Henrion: An evaluation of algorithms for computing the covariance function of a multivariable ARMA process. European Journal of Control 8:4 (2002), 315-325.
17. * Didier Henrion, K. Sugimoto, M. Šebek: Rank-one LMI approach to robust stability of polynomial matrices. Kybernetika 38:5 (2002), 643-656. Ústav teorie informace a automatizace AV ČR, v. v. i..
18. * Didier Henrion: Linear matrix inequalities for robust strictly positive real design. IEEE Transaction on Circuits and Systems 49:7 (2002), 1017-1020.
19. * D. Henrion, D. Arzelier, D. Peaucelle, Michael Šebek: An LMI condition for robust stability of polynomial matrix polytopes. Automatica 37:1 (2001), 461-468. Elsevier.
20. * D. Henrion, S. Tarbouriech, Vladimír Kučera: Control of linear systems subject to input constraints: a polynomial approach. Automatica 37:4 (2001), 597-604. Elsevier.
21. * D. Henrion, Michael Šebek, O. Bachelier: Rank-one LMI approach to stability of 2-D polynomial matrices. Multidimensional Systems and Signal Processing 12:1 (2001), 33-48. Springer.
22. * Didier Henrion, G. Meinsma: Rank-one LMIs and Lyapunov's inequality. IEEE Transactions on Automatic Control 46:8 (2001), 1285-1288. Institute of Electrical and Electronics Engineers.
23. * Didier Henrion, O. Bachelier, M. Šebek: D-stability of polynomial matrices. International Journal of Control 74:8 (2001), 845-856. Taylor & Francis.
24. * D. Henrion, Michael Šebek: An algorithm for polynomial matrix factor extraction. International Journal of Control 73:8 (2000), 686-695. Taylor & Francis.
25. * D. Henrion, Michael Šebek: Reliable numerical methods for polynomial matrix triangularization. IEEE Transactions on Automatic Control 44:3 (1999), 497-508. Institute of Electrical and Electronics Engineers.
26. * D. Henrion, S. Tarbouriech, Michael Šebek: Rank-one LMI approach to simultaneous stabilization of linear systems. Systems and Control Letters 38:2 (1999), 79-89. Elsevier.
27. * D. Henrion, Michael Šebek: Improved polynomial matrix determinant computation. IEEE Transaction on Circuits and Systems 46:10 (1999), 1307-1308.
28. * D. Henrion, Michael Šebek: Symmetric matrix polynomial equation: Interpolation results. Automatica 34:7 (1998), 811-824. Elsevier.
29. * D. Henrion, Michael Šebek: An efficient numerical method for the discrete-time symmetric matrix polynomial equation. IEE Proceedings. Control Theory and Applications 145:5 (1998), 443-448.

Conference papers (52)
1. * Milan Anderle, Sergej Čelikovský, D. Henrion, Jiří Zikmund: LMI based design for the Acrobot walking. Preprints of the 9th IFAC Symposium on Robot Control, 595-600. IFAC, Gifu 2009.
2. * D. Henrion, J. Loefberg, Michal Kočvara, M. Stingl: Solving polynomial static output feedback problems with PENBMI. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005, 7581-7586. IEEE, Piscataway 2006.
3. * Didier Henrion, A. Hansson, R. Wallin: Reduced LMIs for fixed-order polynomial controller design. Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems, 1-12. Katholieke Universiteit, Leuven 2004.
4. * D. Henrion, M. Šebek, Z. Hurák, Sergej Čelikovský: Fixed-order robust controller design with the Polynomial Toolbox 3.0. Proceedings of the 2004 IEEE Conference on Computer Aided Control Systems Design, 303-308. IEEE, Taipei 2004.
5. * Didier Henrion, S. Tarbouriech, V. Kučera: Control of linear systems subject to time-domain constraints with polynomial pole placement and LMIs. Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems, 1-12. Katholieke Universiteit, Leuven 2004.
6. * Didier Henrion, M. Šebek: Overcoming non-convexity in polynomial robust control design. Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems, 1-8. Katholieke Universiteit, Leuven 2004.
7. * D. Henrion, Vladimír Kučera, A. M. Cristobal: Optimizing simultaneously over the numerator and denominator polynomials in the Youla-Kučera parametrization. Proceedings of the 43rd IEEE Conference on Decision and Control, 2177-2181. IEEE Control Systems Society, Bahamy 2004.
8. * J. C. Zuniga, Didier Henrion: Block Toeplitz methods in polynomial matrix computations. Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems, 1-7. Kathlolieke Universiteit, Leuven 2004.
9. * Didier Henrion, J. B. Lasserre: Solving global optimization problems over polynomials with GloptiPoly 2.1. Global Optimization and Constraint Satisfaction, 43-58. Springer, Berlin 2003.
10. * Didier Henrion: LMI optimization for fixed-order H_infinity controller design. Proceedings of the 42nd IEEE Conference on Decision and Control, 4646-4651. IEEE, Hawaii 2003.
11. * Didier Henrion, P. Hippe: Hyperbolic QR factorization for J-spectral factorization of polynomial matrices. Proceedings of the 42nd IEEE Conference on Decision and Control, 3479-3484. IEEE, Hawaii 2003.
12. * Didier Henrion, M. Šebek: Polynomial methods and LMI optimization: New robust control functions for the polynomial Toolbox 3.0. European Control Conference ECC'03, 1-6. IFAC, Cambridge 2003.
13. * Didier Henrion, M. Šebek, V. Kučera: Robust pole placement for second-order systems: an LMI approach. Proceedings of the 4th IFAC Symposium on Robust Control Design, 1-6. IFAC, Milano 2003.
14. * Didier Henrion: Stabilisation robuste de systemes polytopiques par controleur d'ordre fixe avec la boite a outils polynomiale pour Matlab. Proceedings of the International French-Speaking Conference on Automatic Control. CIFA, Nantes 2002.
15. * Didier Henrion, M. Šebek, V. Kučera: An algorithm for static output feedback simultaneous stabilization of scalar plants. Preprints of the 15th Triennial World Congress of the IFAC. Pergamon, Oxford 2002.
16. * Didier Henrion, D. Arzelier, D. Peaucelle: Positive polynomial matrices and improved LMI robustness conditions. Preprints of the 15th Triennial World Congress of the IFAC. Pergamon, Oxford 2002.
17. * Didier Henrion, D. Peaucelle, D. Arzelier, M. Šebek: Ellipsoidal aproximation of the stability domain of polynomial. Proceedings of the European Control Conference 2001, 384-389. EUCA, Porto 2001.
18. * Didier Henrion, M. Šebek, M. Hromčík: On computing the H_infinity-norm of a polynomial matrix fraction. Proceedings of the European Control Conference 2001. EUCA, Porto 2001.
19. * Didier Henrion, V. Kučera: Polynomial matrices, LMIs and static output feedback. Preprints of the 1st IFAC/IEEE Symposium on System Structure and Control. IFAC, Prague 2001.
20. * Didier Henrion, K. Sugimoto, M. Šebek: Rank-one LMI approach to robust stability of polynomial matrices. Preprints of the 1st IFAC/IEEE Symposium on System Structure and Control. IFAC, Prague 2001.
21. * T. Söderström, M. Šebek, Jan Ježek, V. Kučera, Didier Henrion: An evaluation of algorithms for computing the covariance function of a multivariable ARMA process. Proceedings of the European Control Conference 2001. EUCA, Porto 2001.
22. * Didier Henrion, M. Šebek, V. Kučera: LMIs for robust stabilization of systems with ellipsoidal uncertainty. Proceedings of the 13rd International Conference on Process Control. Slovak University of Technology, Bratislava 2001.
23. * J. Ruiz, J. C. Zuniga, Didier Henrion: Computation of the interactor of a linear multivariable system. Proceedings of the International Conference on Control and Applications. IASTED 2001, 1-4. IASTED, Banff 2001.
24. * K. Sugimoto, Michael Šebek, D. Henrion: Polynomial matrices and MRACS based on QR factorization. SICE 1st Annual Conference on Control Systems, 539-542. SICE, Kyoto 2001.
25. * Didier Henrion, D. Arzelier, D. Peaucelle: Robust stabilization of matrix polytopes with the cone complementarity linearization algorithm: Numerical issues. Proceedings of the Process Control Conference'01, 1-19. Slovak University of Technology, Bratislava 2001.
26. * Didier Henrion: Linear matrix inequalities for robust strictly positive real design. Proceedings of the Workshop on Electronics, Control, Modelling, Measurement and Signals, 1-11. ECMMS, Toulouse 2001.
27. * K. Sugimoto, M. Šebek, Didier Henrion: Polynomial matrices and recursive QR factorization. Proceedings of the European Control Conference 2001. EUCA, Porto 2001.
28. * Didier Henrion, M. Hromčík, M. Šebek: Some algorithms used in the Polynomial Toolbox for Matlab. Proceedings of the NICONET Workshop on Numerical Control Software in Control Engineering, 71-76. NICONET, LouvainlaNeuve 2001.
29. * D. Henrion, D. Arzelier, D. Peaucelle, Michael Šebek: An LMI condition for robust stability of polynomial matrix polytopes. Preprints of the 3rd IFAC Symposium on Robust Control Design. ÚTIA AV ČR, Praha 2000.
30. * Michael Šebek, Sergej Čelikovský, J. J. Ruiz-León, D. Henrion: Robust stability analysis via polynomial toolbox 2.5: Complicated parametric uncertainties. Proceedings of the IASTED International Conference on Control and Applications, 149-153. IASTED/Acta Press, Anaheim 2000.
31. * D. Henrion, O. Bachelier, Michael Šebek: D-stability of polynomial matrices. UKACC International Conference on CONTROL 2000. Proceedings. University of Cambridge, Cambridge 2000.
32. * Michael Šebek, Soňa Pejchová, D. Henrion: Robust control with polynomial toolbox 2: Families with structured uncertainties. Proceedings of the 4th International Scientific-Technical Conference. Process Control 2000. ŘÍP 2000, 109. University of Pardubice, Pardubice 2000.
33. * D. Henrion, Michael Šebek: Improved polynomial matrix determinant computation. Proceedings of the 8th IEEE Mediterranean Conference on Control and Automation. MED 2000, 1-3. University of Patras, Patras 2000.
34. * Didier Henrion, O. Bachelier, M. Šebek: D-stability of polynomial matrices. Proceedings of the Control 2000 Conference, 1-24. Cambridge University, Cambridge 2000.
35. * D. Henrion, J. J. Ruiz-León, Michael Šebek: Extraction of infinite zeros of polynomial matrices. Proceedings of the 39th IEEE Conference on Decision and Control, 4221-4227. IEEE, Sydney 2000.
36. * Didier Henrion, S. Tarbouriech, Vladimír Kučera: Control of linear systems subject to input constraints: a polynomial approach. Proceedings of the American Control Conference, 1-27. AACC, Illinois 2000.
37. * Didier Henrion, Vladimír Kučera, Michael Šebek: Stabilization of affine polynomial families: an LMI approach. Proceedings of the IEEE International Symposium on Computer-Aided Control, 1-12. IEEE, Anchorage 2000.
38. * D. Henrion, Michael Šebek: LMIs and polynomial methods in control: Illustrative examples. Preprints of the IFAC/IEEE Symposium on Advances in Control Education. ACE 2000, 1-6. IEEE, Gold Coast 2000.
39. * D. Henrion, Michael Šebek, Vladimír Kučera: Links between robust and quadratic stability of uncertain discrete-time polynomials. Proceedings of the 7th Mediterranean Conference on Control and Automation, 2078-2086. Faculty of Mechanical Engineering Technion, Haifa 1999.
40. * D. Henrion, S. Tarbouriech, Michael Šebek: Rank-one LMI approach to simultaneous stabilization of linear systems. European Control Conference. ECC '99. VDI/VDE GMA, Karlsruhe 1999.
41. * Michael Šebek, H. Kwakernaak, D. Henrion, R. Strijbos: Control design via polynomial toolbox for Matlab version 2.0. European Control Conference. ECC '99. VDI/VDE GMA, Karlsruhe 1999.
42. * Vladimír Kučera, Michael Šebek, D. Henrion: Polynomial toolbox and state feedback control. IEEE International Conference on Control Applications and IEEE International Symposium on Computer Aided Control System Design. Proceedings, 380-385. IEEE, Hawai 1999.
43. * Michael Šebek, H. Kwakernaak, D. Henrion, Soňa Pejchová: Recent progress in polynomial methods and polynomial toolbox for Matlab Version 2.0. Proceedings of the 37th IEEE Conference on Decision and Control, 3661-3668. IEEE, Tampa 1999.
44. * D. Henrion, Michael Šebek: An algorithm for polynomial matrix factor extraction. Proceedings of the Conference on Decision and Control IEEE 1999, 1-17. IEEE, Phoenix 1999.
45. * Vladimír Kučera, Michael Šebek, D. Henrion: State regulation and estimation via polynomial toolbox. Polynomial Systems Theory and Applications. Proceedings of the 1st EUROPOLY Workshop, 7-17. University of Strathclyde, Glasgow 1999.
46. * D. Henrion, Jan Ježek, Michael Šebek: Efficient algorithms for discrete-time symmetric polynomial equations with complex coefficients. IFAC World Congress 1999. Proceedings, 159-164. Pergamon, Oxford 1999.
47. * D. Henrion, Michael Šebek: Numerical methods for polynomial matrix rank evaluation. Preprints of the IFAC Conference on System Structure and Control, 385-390. IFAC, Nantes 1998.
48. * D. Henrion, Michael Šebek: Reliable numerical methods for polynomial matrix triangularization. Proceedings of the Mediterranean Conference on Control and Automation IEEE, 1-27. IEEE, Alghero 1998.
49. * D. Henrion, Michael Šebek, S. Tarbouriech: Algebraic approach to robust controller design: A geometric interpretation. American Control Conference. ACC'98. IEEE CSS, Philadelphia 1998.
50. * Michael Šebek, Soňa Pejchová, R. C. W. Strijbos, D. Henrion: Polynomial Matrix Operations in MATLAB. Computer Aided System Theory and Technology, 139-141. Universidad de Las Palmas, Las Palmas 1997.
51. * D. Henrion, Michael Šebek: An efficient numerical method for the discrete time symmetric matrix polynomial equation. European Control Conference. EUCA, Brussels 1997.
52. * Michael Šebek, Soňa Pejchová, Didier Henrion, H. Kwakernaak: Numerical methods for zeros and determinant of polynomial matrix. Proceedings of the 4th IEEE Mediterranean Symposium on New Directions in Control and Automation, 473-477. IEEE, Chania 1996.

Other publications (5)
1. * D. Henrion, Michal Kočvara, M. Stingl: Solving Simultaneous Stabilization BMI Problems with PENNON. Research Report 3549. LAASCNRS, Toulouse 2003.
2. * Didier Henrion: [Recenze]. IEEE Control Systems Magazine 23:2 (2003), 79-80.
3. * D. Henrion, O. Bachelier, Michael Šebek: Stability of polynomial matrices. Abstract. UKACC International Conference on CONTROL 2000. Abstracts, 203. University of Cambridge, Cambridge 2000.
4. * D. Henrion, Michael Šebek: Symmetric Matrix Polynomial Equation: Interpolation Results. LAASCNRS, Toulouse 1997.
5. * D. Henrion, Michael Šebek: An Efficient Numerical Method for the Discrete Time Symmetric Matrix Polynomial Equation. LAASCNRS, Toulouse 1996.