Free Access
Issue |
ESAIM: COCV
Volume 8, 2002
A tribute to JL Lions
|
|
---|---|---|
Page(s) | 663 - 692 | |
DOI | https://doi.org/10.1051/cocv:2002054 | |
Published online | 15 August 2002 |
- L. Afifi, Analyse régionale : systèmes distribués discrets - Source et détection, Thèse de Doctorat d'État. Kenitra, Maroc (1994). [Google Scholar]
- L. Afifi et A. El Jai, Strategic sensors and spy sensors. J. Appl. Math. Comput. Sci. 4 (1994) 553-573. [Google Scholar]
- L. Afifi et A. El Jai, Observabilité des systèmes distribués discrets dans un tube. J. Marocain d'Automatique d'Informatique et de Traitement de Signal II (1994) 1-45. [Google Scholar]
- L. Afifi et A. El Jai, Spy sensors and detection. Internat. J. Syst. Sci. 25 (1995) 1447-1463. [Google Scholar]
- L. Afifi, A. El Jai et M. Merry, Détection dans un tube, Rapport No. 15/98. LTS, Université de Perpignan, France (1998). [Google Scholar]
- L. Afifi, A. Chafiai et A. El Jai, Compensation spatiale en temps fini dans les Systèmes Distribués, Rapport No. 15/98. LTS, Université de Perpignan, France (1998). [Google Scholar]
- L. Afifi, A. Chafiai et A. El Jai, Regionally efficient and strategic actuators. Internat. J. Syst. Sci. (à paraître). [Google Scholar]
- L. Afifi, A. El Jai et M. Merry, Detection and sources reconstruction in a tube. Internat. J. Syst. Sci. 31 (2000) 149-159. [CrossRef] [Google Scholar]
- J.P. Aubin, Viability theory, Systems and Control: Foundations and Applications. Birkhauser (1991). [Google Scholar]
- S. Angenent, Shrinking Doughnuts, dans Proc. of Nonlinear Diffusion Equations and Their Equilibrium States, Vol. 3, édité par N.G. Lloyd et al. Birkhauser, Boston, MA (1992). [Google Scholar]
- G. Barles, Remark on a flame propagation model. Rapport INRIA, 464 (1985). [Google Scholar]
- G. Barles, H.M. Soner et P.E. Souganidis, Front propagation and phase field theory. SIAM J. Control Optim. 31 (1993) 439-469. [Google Scholar]
- G. Barles et P.E. Souganidis, A new approach to front propagation problems: Theory and applications. Arch. Rational Anal. 141 (1998) 237-296. [CrossRef] [MathSciNet] [Google Scholar]
- G. Barles, An Introduction to recent developments in front propagation problems, dans Écoles CEA-EDF-INRIA. Cours : suivi d'interfaces. INRIA Rocquencourt, France (1999). [Google Scholar]
- A.V. Balakrishnan, Applied functional analysis. Springer-Verlag (1976). [Google Scholar]
- A. Belfekih, Global approach to spreadability (2001). [Google Scholar]
- E. Beltrami, Mathematics for Dynamic Modeling. Academic press (1987). [Google Scholar]
- M.S. Berger, Nonlinearity and functional Analysis. Academic Press, Lectures on Nonlinear Problems in Math. Anal. [Google Scholar]
- A. Berger et C. Tricot, Simple Climate Models Climatic Change and Impact: A General Introduction, dans Proc. of the European School of Climatology and Natural Hazards Course. Florence, 11-18 september 1988, édité par R. Fantechi et al. (1988). [Google Scholar]
- A. Bernoussi, Vers un nouveau concept dans les systèmes distribués : l'étalabilité. HDR, Université de Perpignan (2001). [Google Scholar]
- A. Bernoussi et A. El jai, Spreadability and evolving interfaces. AMIF: Applied Mathematics For Industrial Flow Problems. An ESF International Conference, Sant Feliu de Guixols (Barcelona), 1-3 October 1998. Theme 3: Fronts, interfaces and free boundaries (1998). [Google Scholar]
- A. Bernoussi et A. El Jai, À propos de l'étalabilité, Rapport No. 10/98. LTS, Université de Perpignan (1998). [Google Scholar]
-
A. Bernoussi, Nouvelle approche de l'étalabilité :
-étalabilité, JANO 5, 28/30 Avril. Kenitra, Maroc (1998). [Google Scholar]
- A. Bernoussi, Spreadability and spray control, dans Journée thématique : Modélisation et contrôle des systèmes, 30 mars 1999. Perpignan, France (1999). [Google Scholar]
- A. Bernoussi et A. El Jai, Spreadability, wavefront and evolving interfaces, Rapport 4/99. LTS, France (1999) 1-36. [Google Scholar]
- A. Bernoussi et A. El Jai, New approach of spreadability, Rapport, No. 5/99. LTS, France (1999) 1-22. [Google Scholar]
- A. Bernoussi et A. El jai, Distributed Parameters Systems Spreadability and evolving interfaces, MTNS 2000, 19-23 june. Perpignan, France (2000). [Google Scholar]
- A. Bernoussi et A. El Jai, New Approach of Spreadability. J. Math. Comput. Modelling 31 (2000) 93-109. [Google Scholar]
- A. Bernoussi et A. El Jai, Étalabilité au sens des aires, JANO6, 8-11 mars, 2000. Casablanca, Maroc (2000). [Google Scholar]
- A. Bernoussi, A. El Jai et A.J. Pritchard, Spreadability and evolving interfaces. Int. J. Syst. Sci. (2001) 1-16. [Google Scholar]
- Ah. Bernoussi, Étalabilité et contrôle étaleur, Thèse de Doctorat. Université de Perpignan (1999). [Google Scholar]
- Ah. Bernoussi et D. Ucinski, Weak Spray Control, dans Second Workshop on Analysis and Optimization of complex environmental systems. Zielona Gora, Poland (1998). [Google Scholar]
- Ah. Bernoussi, A. El Jai et D. Ucinski, Modified Weak Spray Control. Internat. J. Control (proposé). [Google Scholar]
- L. Berrahmoune, Controlability of dampted flexible systems, dans Fifth IFAC Symposium on Control of Distributed Parameter Systems. Perpignan, France (1989). [Google Scholar]
- L. Berrahmoune, Actionneurs et capteurs dans la contrôlabilité et la stabilité de systèmes distribués flexibles, Thèse de Doctorat d'État. Faculté des Sciences de Rabat, Maroc (1990). [Google Scholar]
- L. Berrahmoune et A. El Jai, On Hilbert uniqueness method: A semi-group approach, dans Fifth IFAC Symposium on Control of Distributed Parameter Systems. Perpignan, France (1989). [Google Scholar]
- K.A. Brakke, The motion of a surface by its Mean Curvature. Princeton University Press, Princeton (1978). [Google Scholar]
- B. Chopard et M. Droz, Cellular automata modelling of physical systems. Collection Alea-Saclay (1998). [Google Scholar]
- R.F. Curtain et A.J. Pritchard, Infinite Dimensional Linear Systems Theory. Springer, Lectures Notes in Control and Inform. Sci. 8 (1978). [Google Scholar]
- Xu-Yan Chen, Dynamics of interfaces in reaction diffusion systems. Hirochima Math. J. 21 (1991) 47-83 [Google Scholar]
- D.L. Chopp, Numerical Computation of Self-Similar Solutions for Mean Curvature Flow. J. Exper. Math. 3 (1994) 1-15. [Google Scholar]
- R.L. Colasanti et J.P. Grime, Resource Dynamics and Vegetation processes: A deterministic model using two-dimensional cellular automata. Functional Ecology 7 (1993) 169-176. [Google Scholar]
- R.F. Dautray et J.-L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques, Série scientifique, Tome 3. Masson (1984). [Google Scholar]
- J.I. Diaz et J.-L. Lions, Mathematics Climate and Environment. Masson, Res. Notes in Appl. Math. RMA 27 (1993). [Google Scholar]
- M.C. Delfour et S.K. Mitter, Controlability and observability for infinite dimensional systems. SIAM J. Control. 10 (1972) 329-333. [CrossRef] [MathSciNet] [Google Scholar]
- S. Dolecki, Observability for the one dimensional heat equation. Stud. Math. 48 (1973) 291-305. [Google Scholar]
- S. Dolecki et D. Russel, A general theory of observation and control. SIAM J. Control 15 (1977) 185-220. [CrossRef] [MathSciNet] [Google Scholar]
- A. El Jai, Distributed Systems Analysis via Actuators and Sensors. Internat. J. Sensors and Actuators 29 (1991) 1-11. [CrossRef] [Google Scholar]
- A. El Jai, Systems analysis approach to vegetation dynamics, Plenary lecture, dans 2nd International Conference on Differential Equations. Marrakech (1995). [Google Scholar]
- A. El Jai, Spreadability of DPS, MTNS (Mathematical Theory of Networks and Systems). St. Louis Missouri, USA (1996). [Google Scholar]
- A. El Jai, Nouvelle approche pour la modélisation des systèmes en expansion spatiales : dynamique de végétation, Tendances nouvelles en modélisation pour l'environnement. Elsevier (1997) 439-445. [Google Scholar]
- A. El Jai et L. Berrahmoune, Localisation d'actionneurs zones pour la contrôlabilité de systèmes paraboliques. C. R. Acad. Sci. 297 (1983) 647-650. [Google Scholar]
- A. El Jai et L. Berrahmoune, Localisation d'actionneurs ponctuels pour la contrôlabilité de systèmes paraboliques. C. R. Acad. Sci. 298 (1983) 47-50. [Google Scholar]
- A. El Jai et L. Berrahmoune, Localisation d'actionneurs frontières pour la contrôlabilité de systèmes paraboliques. C. R. Acad. Sci. 298 (1984) 177-180. [Google Scholar]
- A. El Jai et S. El Yacoubi, Automates cellulaires et étalabilité, Report. Université de Perpignan (1996). [Google Scholar]
- A. El Jai et K. Kassara, Spreadable distributed systems. Math. Comput. Modelling 20 (1994) 47-64. [Google Scholar]
- A. El Jai et K. Kassara, Spreadability of transport systems. Internat. J. Syst. Sci. 27 (1996) 681-688. [CrossRef] [Google Scholar]
- A. El Jai et A.J. Pritchard, Distributed parameter Systems Analysis via sensors and actuators. J. Wiley, Texts in Appl. Math. (1988). [Google Scholar]
- A. El Jai et A.J. Pritchard, Regional controllability of Distributed Systems, dans Int. INRIA-IFAC Conf. on Optimization and Analysis of Systems. Sophia Antipolis (1992). [Google Scholar]
- A. El Jai, S. El Yacoubi et J. Karrakchou, Spreadability and spray actuators. Appl. Math. Comput. Sci. 2 (1998). [Google Scholar]
- A. El Jai, K. Kassara et O. Cabrera, Spray control. Internat. J. Control 68 (1997) 709-730. [CrossRef] [MathSciNet] [Google Scholar]
- A. El Jai, M.C. Simon et E. Zerrik, Regional observability and sensors structures. Internat. J. Sensors and Actuators 39 (1993) 301-313. [Google Scholar]
- A. El Jai, M.C. Simon et E. Zerrik, Numerical approach for regional observation problem. Application to a thermal process, dans 14th IMACS World Congress Atlanta, Georgie, USA (1994). [Google Scholar]
- A. El Jai, M. Fournier, K. Kassara et B. Noumare, Vegetation Dynamics: A deterministic modelling approach using the concept of spreadability. Theoret. Appl. Climatology J. 52 (1995) 241-249. [CrossRef] [Google Scholar]
- A. El Jai, M.C. Simon, E. Zerrik et A.J. Pritchard, Regional controllability of distributed systems. Internat. J. Control 62 (1995) 1351-1365. [CrossRef] [MathSciNet] [Google Scholar]
- A. El Jai, E. Zerrik, M.C. Simon et M. Amouroux, Regional observation of a thermal process. IEEE Trans. Automat. Control 40 (1995). [Google Scholar]
- A. El Jai, O. Cabrera, M. Fournier et Y. Maurissen, A prediction-correction alternative for modelling spatio-temporal systems. Application to an ecological problem, Ecological Modelling. Ecomod195 (1998). [Google Scholar]
- S. El Yacoubi et J. Karrakchou, DPS Modelling via cellular automata. Application to delay systems, dans Conference on Numerical Analysis and Optimization. Kenitra, Morocco (1998). [Google Scholar]
- S. El Yacoubi et A. El Jai, DPS Modelling and cellular automata. Math. Comput. Modelling (à paraître). [Google Scholar]
- L.C. Evans, H.M. Soner et P.E. Souganidis, Phase transitions and generalized motion by mean curvature. I. J. Diff. Geom. 33 (1992) 635-681. [Google Scholar]
- S. Goto, Generalized motion of hypersurfaces whose growth speed depends superlinearly of the curvature tensor. Differential Int. Equations 7 (1994) 323-343. [Google Scholar]
- Y. Giga et M.H. Sato, Generalized interface evolution with Neumann boundary condition. Proc. Japan Acad. Ser. A 67 (1991) 263-266. [CrossRef] [MathSciNet] [Google Scholar]
- T.Y. Hou, An Numerical solutions to free boundary problems. Écoles CEA-EDF-INRIA. Cours : suivie d'interfaces. INRIA Rocquencourt, France (1999). [Google Scholar]
- K. Kassara, Étalabilité des systèmes distribués, Thèse de Doctorat d'État. EMI, Rabat, Maroc (1999). [Google Scholar]
- A. Kolmogoroff, I. Petrovsky et N. Piscounoff, Étude de l'équation de la diffusion avec croissance de la quantité et son application à un problème biologique. Moscou Univ. Bull. Math. 1 (1937) 1-25. [Google Scholar]
- I. Lasiecka et R. Trigiani, Control Problems for Systems Described by Partial Differential Equations and Application, dans Proc. of the IFIP-WG 7.2 Working Conference. Gainesville, Florida, February 3-6 (1986). Springer-Verlag, Lecture Notes in Control and Inform. Sci. (1987). [Google Scholar]
- J.-L. Lions, Contrôlabilité exacte, Perturbation et Stabilisation des systèmes distribués, RMA 8 et 9. Masson, Paris (1988). [Google Scholar]
- J.-L. Lions, Some methods in the mathematical analysis of systems and their control. Science Press. Beijing, China (1981). Gordon and breach, Science Publishers, Inc. New York (1981). [Google Scholar]
- A.M. Micheletti, Perturbazione dello spettro di un operatore ellitico di tipo variazionale, in relazione ad una variazione del campo. Ricerche di Mat. V.XXV (1976). [Google Scholar]
- D. Mollison, Spatial contact models for ecological and epidemic spread. J. Roy. Stat. Soc. B 39 (1997) 283-326. [Google Scholar]
- R.A. Monserud, N.M. Tchebakova et R. Leemans, Global Vegetation Change predicted by the modified Budyko Model. Climatic Change 25 (1993) 59-83. [Google Scholar]
- J.D. Murray, Mathematical Biology. Springer, Biomath. Texts (1993). [Google Scholar]
- M. Rachik, Quelques éléments sur l'analyse et le contrôle des systèmes distribués, Thèse de Doctorat d'État. Université de Rabat, Maroc (1995). [Google Scholar]
- S. Osher et J.A. Sethian, Fronts propagating with curvature-dependant speed: Algorithms based on Hamilton-Jacobi formulation. J. Comput. Phys. 79 (1988) 12-49. [Google Scholar]
- J.A. Sethian, Curvature and the evolution of fronts. Comm. Math. Phys. 101 (1985) 487-499. [CrossRef] [MathSciNet] [Google Scholar]
- J.A. Sethian, Level set methods: Evolving interfaces in geometry, fluid mechanics, computer vision and material sciences. Campbridge Univresity Press, Cambridge Monogr. Appl. Comput. Math. (1996). [Google Scholar]
- J.A. Sethian, Level Set Methods and Fast Marching Methods. Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Sciences. Cambridge University Press, Cambridge Monogr. Appl. Comput. Math. (1999). [Google Scholar]
- R. Sepulchre, M. Jankovic et P. Kokotovic, Constructive Nonlinear Control. Springer, Commun. and Control Engrg. (1997). [Google Scholar]
- H.M. Soner, Motion of a set by the curvature of its boundary. J. Differential Equations 101 (1993) 313-372. [CrossRef] [MathSciNet] [Google Scholar]
- J. Sokolowski et J.P. Zolesio, Introduction to Shape Optimization, Shape Sensitivity Analysis. Springer-Verlag, Springer Ser. in Comput. Math. 16 (1992). [Google Scholar]
- A.M. Solomon et H.H. Shugart, Vegetation Dynamics and Global Change. IIASA. Chapman and Hall. Library of Congress Cataloging in Publication Data (1993). [Google Scholar]
- D. Ucinski et A. El Jai, On weak spreadability of DPS and its achievement via LQ Control Techniques. IMA J. Control and Inform. Sci. 14 (1997) 153-174. [CrossRef] [Google Scholar]
- A.T. Winfree, The Geometry of Biological Time. Springer-Verlag, Berlin (1980). [Google Scholar]
- S. Wolfram, Cellular automata and complexity. Addison-Wesley Publishing Company, Sci. Math. Comput. (1994). [Google Scholar]
- A.N. Zaikin et A.M. Zhabotinski, Concentration wave propagation in two-dimensional liquid-phase self-oscillatting systems. Nature 225 (1970) 535-537. [Google Scholar]
- E.H. Zerrik, Regional Analysis of Distributed Parameter Systems, Thèse d'État. Faculté des Sciences de Rabat, Maroc (1993). [Google Scholar]
- E.H. Zerrik, L. Badraoui et A. El Jai, Sensors and regional boundary state reconstruction of parabolic systems. Sensors and Actuators J. 75 (1999) 102-117. [CrossRef] [Google Scholar]
- E.H. Zerrik, A. Boutoulout et A. El Jai, Actuators and regional boundary controllability of parabolic systems. Int. J. Syst. Sci. 31 (2000) 73-82. [Google Scholar]
- E.H. Zerrik, A. Kamal et A. Boutoulout, Regional gradient controllability of parabolic systems. Appl. Math. Comput. Sci. 9 (1999) 101-121. [Google Scholar]
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