RESEARCH

• an abstract of my PhD thesis, which got the First Prize of the Best Thesis in Control Processing as a National Award (given by AFCET for the years 1993-1994):
  State-space representations of waveguide models with fractional derivatives
  

Selected Publications

Already Published Papers

• a Technical Report, 1995 (1 PostScript file):
  Décomposition modale fractionnaire de l'équation des ondes avec pertes viscothermiques
  (NB: this is the Internet version of the Research Report 95 C 001, in the collection C of publications of the École Nationale Supérieure des Télécommunications; ISSN number: 0751-1337.)
• Spectral and time-domain consequences of an integro-differential perturbation of the wave PDE by D. Matignon and B. d'Andréa-Novel, in Third international conference on mathematical and numerical aspects of wave propagation phenomena, pages 769-771. INRIA-SIAM, Mandelieu, France, April 1995.
• Physical modelling of musical instruments: analysis-synthesis by means of state space representations by D. Matignon, in International Symposium on Musical Acoustics , pages 496-502. SFA, Dourdan, France, July 1995.
• Fractional modal decomposition of a boundary-controlled-and-observed infinite-dimensional linear system, by D. Matignon, 5 pages presented at Mathematical Theory of Networks and Systems symposium. MTNS. Saint Louis, Missouri, June 1996.
• Stability results for fractional differential equations with applications to control processing , by D. Matignon, in Computational Engineering in Systems and Application multiconference, vol. 2, pages 963-968, IMACS, IEEE-SMC. Lille, France, July 1996.
• Some results on controllability and observability of finite-dimensional fractional differential systems , by D. Matignon and B. d'Andréa-Novel, in Computational Engineering in Systems and Application multiconference, vol. 2, pages 952-956, IMACS, IEEE-SMC. Lille, France, July 1996.
• a Technical Report, 1996 which includes different papers (4 PostScript files):
  Recent results in fractional differential systems theory
  (NB: this is the Internet version of the Research Report 96 C 004, in the collection C of publications of the École Nationale Supérieure des Télécommunications; ISSN number: 0751-1337.)
• Observer-based controllers for fractional differential systems by D. Matignon and B. d'Andréa-Novel, in Proc. 36th IEEE Conference on Decision and Control, pages 4967-4972, IEEE-CSS , SIAM, San Diego, California, December 1997.
  
• Fractional integrodifferential control of the Euler-Bernoulli beam by G. Montseny, J. Audounet and D. Matignon, in Proc. 36th IEEE Conference on Decision and Control, pages 4973-4978, IEEE-CSS , SIAM, San Diego, California, December 1997.
  
• Energy Decay for Wave Equations with Damping of Fractional order, by D. Matignon, J. Audounet and G. Montseny, in Proc. Fourth international conference on mathematical and numerical aspects of wave propagation phenomena, pages 638-640. INRIA-SIAM, Golden, Colorado, June 1998. (abstract only)
• Diffusive realisations of Fractional Integrodifferential operators: Structural analysis under Approximation, by D. Heleschewitz and D. Matignon, in Proc. IFAC Conf. on System Structure and Control , vol. 2, pages 243-248. IFAC, Nantes, France, July 1998. (abstract only)
• Numerical simulation of xylophones. II. Time-domain modeling of the resonator and of the radiated pressure, by V. Doutaut, D. Matignon and A. Chaigne, Journal of the Acoustical Society of America, vol. 104 (3), pages 1633-1647, September 1998. (abstract only)
• Generalized fractional differential and difference equations: stability properties and modelling issues by D. Matignon, pages 503-506, in Mathematical Theory of Networks and Systems symposium. MTNS. Padova, Italy, July 1998. ( abstract only)
• a Technical Report, 1998 which includes different papers (5 PostScript files) :
  Fractional differential systems: theory and applications
  (NB: this is the Internet version of the Research Report 98 C 003, in the collection C of publications of the École Nationale Supérieure des Télécommunications; ISSN number: 0751-1337.)
• Stability properties for generalized fractional differential systems by D. Matignon, ESAIM Proceedings, vol. 5, pages 145-158, December 1998. SMAI
• Fractional Differential Systems: Models, Methods and Applications by D. Matignon and G. Montseny (editors), ESAIM Proceedings, vol. 5, December 1998. SMAI
• Analysis and numerical simulation of long-memory viscoelastic systems by means of diffusive representations by D. Matignon and G. Montseny, in International Conference on Scientific Computations , pages 421-430. Beirut, Lebanon, March 1999. ( abstract only)
• Réalisations et approximations diffusives d'oscillateurs avec amortissements viscoélastiques by D. Heleschewitz and D. Matignon, in Journées Doctorales d'Automatique, pages 49-52. Nancy, France, 1999. GdR Automatique
• Premiers résultats sur les représentations diffusives à temps discret et application aux filtres ARFIMA by G. Dauphin and D. Matignon, in Journées Doctorales d'Automatique, pages 45-48. Nancy, France, 1999. GdR Automatique
• a Technical Report, 1999:
  Opérateurs Pseudo-Différentiels et Représentations Diffusives en Modélisation, Contrôle et Signal
  by G. Montseny and D. Matignon, (NB: this is the Internet version of the Research Report 99 D 008, in the collection D of publications of the École Nationale Supérieure des Télécommunications; ISSN number: 0751-1345.)
• Opérateurs différentiels fractionnaires, opérateurs pseudo-différentiels, représentations diffusives by J. Audounet, D. Matignon and G. Montseny, in Journées Thématiques, 10 pages. Toulouse, France, 1999. SMAI, INRIA, GdR ISIS.
• a Technical Report, 1999 which includes different papers (6 PostScript files):
  Diffusive representations of pseudo-differential operators: theory and applications
  by D. Matignon, (NB: this is the Internet version of the Research Report 99 C 004, in the collection C of publications of the École Nationale Supérieure des Télécommunications; ISSN number: 0751-1337.)
• Représentation diffusive d'opérateurs pseudo-différentiels. Applications en électromagnétisme. by G. Montseny, P. Bidan, J. Audounet et D. Matignon, in 3èmes Journées d'électromagnétisme et micro-ondes, 4 pages, invited paper. Toulouse, France, January 2000.
• Diffusive representations of fractional and pseudo-differential operators by J. Audounet, D. Matignon and G. Montseny, in Research Trends in Science and Technology , pages 171-180. Beirut, Lebanon, March 2000. ( abstract only)
• Techniques d'ordre supérieur pour l'élimination d'exposants de Lyapunov fallacieux, by C. Touzé and D. Matignon, in Proc. Troisièmes Rencontres du Non-Linéaire, pages 87-92. Institut Henri Poincaré, Paris, France, March 2000.
• Extended diffusive representations and application to non-standard oscillators by G. Dauphin, D. Heleschewitz and D. Matignon, 10 pages (Invited Session), in Mathematical Theory of Networks and Systems symposium. MTNS. Perpignan, France, June 2000.
• Pseudo-invariance by matched scaling: application to diffusive control of a flexible beam, by F.-A. Devy Vareta, J. Audounet, D. Matignon and G. Montseny, in Proc. Second European Conference on Structural Control, 17 pages. ENPC Marne-La-Vallée, France, July 2000.
• Perfectly absorbing boundary feedback control for wave equations: a diffusive formulation, by G. Montseny, J. Audounet and D. Matignon, in Proc. Fifth international conference on mathematical and numerical aspects of wave propagation phenomena, pages 1025-1029. INRIA-SIAM, Santiago de Compostela, Spain, July 2000.
• Diffusive representation for pseudo-differentially damped non-linear systems, by G. Montseny, J. Audounet and D. Matignon, in A. Isidori, F. Lamnabhi-Lagarrigue and W. Respondek (eds.), Nonlinear Control in the Year 2000, volume 2, pages 163-182. CNRS-NCN, Springer Verlag, August 2000.
• Semi-linear diffusive representations for non-linear fractional differential systems, by J. Audounet, D. Matignon and G. Montseny, in A. Isidori, F. Lamnabhi-Lagarrigue and W. Respondek (eds.), Nonlinear Control in the Year 2000, volume 1, pages 73-82. CNRS-NCN, Springer Verlag, August 2000.
• Stabilité des EDF non-linéaires : approche diffusive by D. Matignon, Compte-Rendu du séminaire toulousain de Représentation Diffusive et Applications, pages 49-53, November 2000. LAAS.
• Time-domain simulation of damped impacted plates. Part II. Numerical model and results by C. Lambourg, A. Chaigne and D. Matignon, Journal of the Acoustical Society of America, vol. 109, n0 4, pages 1433-1447, April 2001.
• Damping models for mechanical systems using diffusive representation of pseudo-differential operators: theory and examples by D. Matignon, in Proc. workshop on pluralism in distributed parameter systems, pages 88-90. Enschede, The Netherlands, July 2001.
• Damping models for the sound synthesis of bar-like instruments by Th. Hélie and D. Matignon, in Proc. seventh international conference on systemics, cybernetics and informatics, pages 541-546. Orlando, Florida, July 2001.
• Applications of diffusive representations to discretized fractional systems: stability, positivity and simulation issues by G. Dauphin and D. Matignon, in Proc. European Control Conference, pages 1490-1495. Porto, Portugal, September 2001. ECC
• Stabilité interne asymptotique d'un système couplé à temps discret, formé d'un oscillateur et d'un filtre diffusif by G. Dauphin and D. Matignon, in Journées Doctorales d'Automatique, pages 189-194. Toulouse, France, 2001. GdR Automatique.
• Introduction au calcul fractionnaire, by D. Matignon, in P. Abry, P. Gonçalvès, and J. Lévy-Véhel (eds.), volume "Fractals et Lois d'Échelle" of Traité "Information - Commande - Communication" (IC2) , Hermès, 2002,vol.1, ch. 4, pages 143-183.
• Positivity and dissipativity of oscillating diffusive filters. Application to the stability of coupled systems by G. Dauphin and D. Matignon, 11 pages (Invited Session), in Mathematical Theory of Networks and Systems symposium. MTNS. South Bend, Indiana, August 2002.
• Can positive pseudo-differential operators of diffusive type help stabilize unstable systems? by D. Matignon, 14 pages (Invited Session), in Mathematical Theory of Networks and Systems symposium. MTNS. South Bend, Indiana, August 2002.
  
  
• New Publications from 2003 to 2005, in PDF format

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