91 5.3.1 Lifting of boundary conditions, p.92 ,
128 6.6.1 Scenario 1, p.129 ,
Lumer-Phillips suivant donne une condition suffisante pour qu'un opérateur dissipatif soit générateur infinitésimal d'un C 0 semigroupe ,
A model with ???growth retardation??? for the kinetic heterogeneity of tumour cell populations, Mathematical Biosciences, vol.206, issue.2, pp.185-199, 2007. ,
DOI : 10.1016/j.mbs.2005.04.008
Comparison of Approaches to Modeling of Cell Population Dynamics, SIAM Journal on Applied Mathematics, vol.53, issue.5, pp.1480-1504, 1993. ,
DOI : 10.1137/0153069
Transformation semigroups andL 1-approximation for size structured population models, Semigroup Forum, vol.25, issue.1, pp.141-155, 1988. ,
DOI : 10.1007/BF02573227
Uniqueness and stability in an inverse problem for the Schr??dinger equation, Inverse Problems, vol.18, issue.6, pp.1537-1554, 2002. ,
DOI : 10.1088/0266-5611/18/6/307
Identifiabilty of systems described by convolution equations, Automatica, vol.41, issue.3, pp.505-512, 2005. ,
DOI : 10.1016/j.automatica.2004.11.013
On structural identifiability, Mathematical Biosciences, vol.7, issue.3-4, pp.329-339, 1970. ,
DOI : 10.1016/0025-5564(70)90132-X
Analyse fonctionnelle : Théorie et applications Mathématiques Appliquées pour la Maîtrise, 1983. ,
A model of physiologically structured population dynamics with a nonlinear individual growth rate, Journal of Mathematical Biology, vol.33, issue.4, pp.335-364, 1995. ,
DOI : 10.1007/BF00176377
Sur un problème d'unicité pur les systèmes d'équations aux dérivées partielles à deux variables indépendantes, Ark. Mat., Astr. Fys, vol.26, pp.17-26, 1939. ,
Structural identifiability for a class of non-linear compartmental systems using linear/non-linear splitting and symbolic computation, Mathematical Biosciences, vol.183, issue.1, pp.1-1, 2003. ,
DOI : 10.1016/S0025-5564(02)00223-7
Structural identifiability of non-linear systems using linear/non-linear splitting, International Journal of Control, vol.76, issue.3, pp.3-209, 2003. ,
DOI : 10.1016/0025-5564(81)90025-0
Global identifiability of the parameters of nonlinear systems with specified inputs: A comparison of methods, Mathematical Biosciences, vol.102, issue.1, pp.1-41, 1990. ,
DOI : 10.1016/0025-5564(90)90055-4
On the structural identifiability of biological compartmental systems in a general input-output configuration, Mathematical Biosciences, vol.30, issue.1-2, pp.1-2, 1976. ,
DOI : 10.1016/0025-5564(76)90021-3
On identifiability of parameters in a class of parabolic distributed systems, IEEE Transactions on Automatic Control, vol.26, issue.2, pp.474-477, 1981. ,
DOI : 10.1109/TAC.1981.1102609
The problem of structural identifiability of a linear compartmental system: Solved or not?, Mathematical Biosciences, vol.36, issue.1-2, pp.119-125, 1977. ,
DOI : 10.1016/0025-5564(77)90019-0
Equivalence and identifiability analysis of uncontrolled nonlinear dynamical systems, Automatica, vol.40, issue.2, pp.287-292, 2004. ,
DOI : 10.1016/j.automatica.2003.09.013
Asynchronous exponential growth in an age structured population of proliferating and quiescent cells, Mathematical Biosciences, vol.177, issue.178, pp.177-178, 2002. ,
DOI : 10.1016/S0025-5564(01)00097-9
Global uniqueness and H??lder stability for recovering a nonlinear source term in a parabolic equation, Inverse Problems, vol.21, issue.1, pp.271-290, 2005. ,
DOI : 10.1088/0266-5611/21/1/017
One-parameter semigroups for linear evolution equations, Semigroup Forum, vol.63, issue.2, 2000. ,
DOI : 10.1007/s002330010042
The structural identifiability of the susceptible infected recovered model with seasonal forcing, Mathematical Biosciences, vol.194, issue.2, pp.175-197, 2005. ,
DOI : 10.1016/j.mbs.2004.10.011
Boundary Control Systems, SIAM Journal on Control, vol.6, issue.3, pp.349-385, 1968. ,
DOI : 10.1137/0306025
An algebraic approach to linear and nonlinear control In Essays on control : perspectives in the theory and its applications, of Progr. Systems Control Theory, pp.223-265, 1993. ,
On the determination of a differential equation from its spectral function, Amer. Math. Soc. Transl, issue.2, pp.1-253, 1955. ,
Extracting macroscopic dynamics: model problems and algorithms, Nonlinearity, vol.17, issue.6, pp.55-127, 2004. ,
DOI : 10.1088/0951-7715/17/6/R01
of Die Grundlehren der mathematischen Wissenschaften, Linear partial differential operators, 1963. ,
The analysis of linear partial differential operators IV of Grundlehren der mathematischen Wissenschaften, 1985. ,
Inverse source problems of Mathematical Surveys and Monographs, 1990. ,
A Dynamical Model for the Growth and Size Distribution of Multiple Metastatic Tumors, Journal of Theoretical Biology, vol.203, issue.2, pp.177-186, 2000. ,
DOI : 10.1006/jtbi.2000.1075
An Inverse Problem for a Nonlinear Parabolic Equation with Applications in Population Dynamics and Magnetics, SIAM Journal on Mathematical Analysis, vol.39, issue.6, pp.1863-1889, 2008. ,
DOI : 10.1137/070685907
An introduction to differential algebra, second ed, Actualités Scientifiques et Industrielles, No, 1251. ,
Perturbation theory for linear operators, Classics in Mathematics, 1995. ,
A contribution to the mathematical theory of epidemics, Proc. Roy. Soc. A, pp.772-700, 1927. ,
Contributions to the mathematical theory of epidemics. II.? The problem of endemicity, Proc. Roy. Soc. A, pp.55-83, 1932. ,
Contributions to the Mathematical Theory of Epidemics. III. Further Studies of the Problem of Endemicity, Proc. Roy. Soc. A 141, pp.94-122, 1933. ,
DOI : 10.1098/rspa.1933.0106
Inverse problems and Carleman estimates, Inverse Problems, vol.8, issue.4, pp.575-596, 1992. ,
DOI : 10.1088/0266-5611/8/4/009
Global uniqueness of a multidimensional inverse problem for a nonlinear parabolic equation by a Carleman estimate, Inverse Problems, vol.20, issue.4, pp.1003-1032, 2004. ,
DOI : 10.1088/0266-5611/20/4/002
Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate, Journal of Mathematical Analysis and Applications, vol.343, issue.1, pp.352-365, 2008. ,
DOI : 10.1016/j.jmaa.2008.01.071
Identifiability and identification of a class of parabolic distributed systems under approximation, International Journal of Systems Science, vol.134, issue.4, pp.683-697, 1989. ,
DOI : 10.1115/1.3140662
Parameter identification for a PDE model representing scrapie transmission in a sheep flock, Proceedings of the 44th IEEE Conference on Decision and Control, pp.1607-1612, 2005. ,
DOI : 10.1109/CDC.2005.1582388
On global identifiability for arbitrary model parametrizations, Automatica, vol.30, issue.2, pp.265-276, 1994. ,
DOI : 10.1016/0005-1098(94)90029-9
Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences, Mathematical Biosciences, vol.174, issue.1, pp.1-1, 2001. ,
DOI : 10.1016/S0025-5564(01)00079-7
Structural identifiability analysis of some highly structured families of statespace models using differential algebra, Journal of Mathematical Biology, vol.127, issue.5, pp.5-433, 2004. ,
DOI : 10.1007/s00285-003-0261-3
General relative entropy inequality: an illustration on growth models, Journal de Math??matiques Pures et Appliqu??es, vol.84, issue.9, pp.1235-1260, 2005. ,
DOI : 10.1016/j.matpur.2005.04.001
On the inverse Sturm-Liouville problem, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.31, issue.2, pp.319-350, 1984. ,
The Gel'fand-Levitan theory and certain inverse problems for the parabolic equation, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.28, pp.2-317, 1981. ,
Mathematical biology ? I : An introduction, Interdisciplinary Applied Mathematics, vol.17, 2002. ,
Review of Japanese work of the last ten years on identifiability in distributed parameter systems, Inverse Problems, vol.9, issue.2, pp.143-191, 1993. ,
DOI : 10.1088/0266-5611/9/2/001
Identifiability of Linear Systems in Hilbert Spaces, SIAM Journal on Control and Optimization, vol.21, issue.4, pp.501-530, 1983. ,
DOI : 10.1137/0321031
Identification problems for partial differential equations, Funkcial. Ekvac, vol.32, issue.3, pp.483-505, 1989. ,
On identifiability of linear time-delay systems, IEEE Transactions on Automatic Control, vol.47, issue.8, pp.1319-1324, 2002. ,
DOI : 10.1109/TAC.2002.801202
Semigroups of linear operators and applications to partial differential equations, of Applied Mathematical Sciences, 1983. ,
DOI : 10.1007/978-1-4612-5561-1
Well-posedness of an epidemiological problem described by an evolution PDE, ESAIM :Proc. 25, pp.29-43, 2008. ,
DOI : 10.1051/proc:082503
Identifiability analysis of an epidemiological model in a structured population, Journal of Mathematical Analysis and Applications, vol.374, issue.1, 2009. ,
DOI : 10.1016/j.jmaa.2010.08.072
URL : https://hal.archives-ouvertes.fr/hal-00655939
Identifiability analysis of an epidemiological model in a structured population, Journal of Mathematical Analysis and Applications, vol.374, issue.1, 2009. ,
DOI : 10.1016/j.jmaa.2010.08.072
URL : https://hal.archives-ouvertes.fr/hal-00655939
Modélisation et estimation des paramètres liés au succès reproducteur d'un ravageur de la vigne, Thèse de Doctorat Spécialité : Mathématiques et Informatique, 2009. ,
System identifiability based on the power series expansion of the solution, Mathematical Biosciences, vol.41, issue.1-2, pp.1-2, 1978. ,
DOI : 10.1016/0025-5564(78)90063-9
Differential Algebra, 1950. ,
DOI : 10.1090/coll/033
A new differential algebra algorithm to test identifiability of nonlinear systems with given initial conditions, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), pp.3108-3113, 2001. ,
DOI : 10.1109/CDC.2001.980295
Parameter identifiability of nonlinear systems: the role of initial conditions, Automatica, vol.39, issue.4, pp.619-632, 2003. ,
DOI : 10.1016/S0005-1098(02)00302-3
A Probabilistic Algorithm to Test Local Algebraic Observability in Polynomial Time, Journal of Symbolic Computation, vol.33, issue.5, pp.735-755, 2002. ,
DOI : 10.1006/jsco.2002.0532
URL : https://hal.archives-ouvertes.fr/inria-00126995
Non-Linear Semi-Groups, The Annals of Mathematics, vol.78, issue.2, pp.339-364, 1963. ,
DOI : 10.2307/1970347
A mathematical model of the dynamics of scrapie in a sheep flock, Mathematical Biosciences, vol.153, issue.2, pp.79-98, 1998. ,
DOI : 10.1016/S0025-5564(98)10036-6
Existence and uniqueness of minimal realizations of nonlinear systems, Mathematical Systems Theory, vol.80, issue.1, pp.263-284, 1976. ,
DOI : 10.1007/BF01683278
Uniqueness and nonuniqueness in an inverse problem for the parabolic equation, Journal of Differential Equations, vol.47, issue.2, pp.296-316, 1983. ,
DOI : 10.1016/0022-0396(83)90038-4
Gel'fand-Levitan's theory, deformation formulas and inverse problems, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.32, issue.2, pp.223-271, 1985. ,
Inverse problems for heat equations on compact intervals and on circles, I, Journal of the Mathematical Society of Japan, vol.38, issue.1, pp.39-65, 1986. ,
DOI : 10.2969/jmsj/03810039
Ultra-hyperbolic approach to some multi-dimensional inverse problems, Proceedings of the Japan Academy, Series A, Mathematical Sciences, vol.64, issue.10, pp.361-363, 1988. ,
DOI : 10.3792/pjaa.64.361
Identifiability of dynamic systems, International Journal of Systems Science, vol.2, issue.7, pp.813-825, 1978. ,
DOI : 10.1080/00207727808941738
Modelling the spread of scrapie in a sheep flock: evidence for increased transmission during lambing seasons, Archives of Virology, vol.354, issue.6, pp.735-751, 2006. ,
DOI : 10.1007/s00705-005-0666-y
On structural identification, Math. Biosci, vol.56, pp.3-4, 1981. ,
Similarity transformation approach to identifiability analysis of nonlinear compartmental models, Mathematical Biosciences, vol.93, issue.2, pp.217-248, 1989. ,
DOI : 10.1016/0025-5564(89)90024-2
State isomorphism approach to global identifiability of nonlinear systems, IEEE Transactions on Automatic Control, vol.34, issue.2, pp.220-223, 1989. ,
DOI : 10.1109/9.21105
Identification of parametric models : from experimental data, Communications and Control Engineering, 1997. ,
Theory of nonlinear age-dependent population dynamics, of Monographs and Textbooks in Pure and Applied Mathematics, 1985. ,
Identification problems for partial differential equations of hyperbolic type. Sci, Papers College Arts Sci. Univ. Tokyo, vol.42, issue.1, pp.33-62, 1992. ,
Parameter Identifiability of Nonlinear Systems With Time-Delay, IEEE Transactions on Automatic Control, vol.51, issue.2, pp.371-375, 2006. ,
DOI : 10.1109/TAC.2005.863497