Fractional Calculus
Département TSI
RESEARCH
N.B. in progress! Updated February 14th, 2005...
Selected Publications
from 1995 to 2005, in PDF format.
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
Denis Matignon
ENST / Dépt. TSI & CNRS / UMR 5141 - Pièce DA 302
37-39, rue Dareau
75 014 PARIS (FRANCE)
Tél. : (33 1) 45 81 75 60 - Fax : (33 1) 45 8171 44 -
Email : denis.matignon@enst.fr
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