]. R. Abgrall and S. Karni, Computations of compressible multiuids, NOMENCLATURE Bibliography J. Comput. Phys, vol.169, issue.1, p.594623, 2001.

J. F. Agassant, La Mise en forme des matières plastiques. Technique & Documentation, 1996.

E. Aguilar-garnica, J. P. Garcia-sandoval, and V. Gonzalez-alvarez, PI controller design for a class of distributed parameter systems, Chemical Engineering Science, vol.66, issue.18, p.40094019, 2011.
DOI : 10.1016/j.ces.2011.05.025

E. Aguilar-garnica, V. Gonzalez-alvarez, and C. Pelayo-ortiz, Robust continuous velocity control of convective spatially distributed systems, Chemical Engineering Science, vol.63, issue.17, p.43734385, 2008.

K. Akouz, A. Benhammou, P. O. Malaterre, B. Dahbou, and G. Roux, Predictive control applied to ASCE canal 2, SMC'98 Conference Proceedings. 1998 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.98CH36218), 1998.
DOI : 10.1109/ICSMC.1998.726700

A. Ambroso, B. Boutin, F. Coquel, E. Godlewski, and P. G. Lefloch, Coupling Two Scalar Conservation Laws via Dafermos??? Self-Similar Regularization, 2008.
DOI : 10.1007/978-3-540-69777-0_24

A. Ambroso, C. Chalons, F. Coquel, and T. Galié, Interface model coupling via prescribed local ux balance, 18th AIAA Computational Fluid Dynamics Conference, 2007.

A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière et al., Extension of Interface Coupling to General Lagrangian Systems, Numerical mathematics and advanced applications, p.852860, 2006.
DOI : 10.1007/978-3-540-34288-5_84

A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière et al., Coupling of general Lagrangian systems, Mathematics of Computation, vol.77, issue.262, p.77909941, 2008.
DOI : 10.1090/S0025-5718-07-02064-9

A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière et al., A Relaxation Method for the Coupling of Systems of Conservation Laws
DOI : 10.1007/978-3-540-75712-2_99

A. Ambroso, C. Chalons, F. Coquel, E. Godlewski, F. Lagoutière et al., Relaxation methods and coupling procedures, International Journal for Numerical Methods in Fluids, vol.71, issue.8, p.5611231129, 2008.
DOI : 10.1007/978-1-4615-0663-8_18

C. Antoniades and P. D. Christodes, Robust control of nonlinear time-delay systems

, Int. J. Appl. Math. and Comp. Sci, vol.9, issue.4, p.811837, 1999.

A. Armaou and P. D. Christodes, Nonlinear feedback control of parabolic partial dierential equation systems with time-dependent spatial domains, Journal of Mathematical Analysis and Applications, vol.239, issue.1, p.124157, 1999.

A. Armaou and P. D. Christodes, Robust control of parabolic PDE systems with time-dependent spatial domains, Automatica, vol.37, issue.1, pp.61-69, 2001.
DOI : 10.1016/S0005-1098(00)00123-0

Z. Artstein, Linear systems with delayed controls: A reduction, IEEE Transactions on Automatic Control, vol.27, issue.4, p.869879, 1982.
DOI : 10.1109/TAC.1982.1103023

F. Bachmann and J. Vovelle, Existence and uniqueness of entropy solution of scalar conservation laws with a ux function involving discontinuous coecients, Comm. Partial Dierential Equations, vol.31, p.371395, 2008.

O. Begovich, V. M. Ruiz, G. Besançon, C. I. Aldana, and D. Georges, Predictive control with constraints of a multi-pool irrigation canal prototype

, Latin American Applied Research, vol.37, p.177185, 2007.

N. Bekiaris-liberis, M. Jankovic, and M. Krstic, Compensation of state-dependent input delay for nonlinear systems, Proceedings of American Control Conference, 2012.

N. Bekiaris-liberis and M. Krstic, Compensation of time-varying input delay for nonlinear systems, 2011 19th Mediterranean Conference on Control & Automation (MED), pp.1040-1045, 2011.
DOI : 10.1109/MED.2011.5983098

N. Bekiaris-liberis and M. Krstic, Compensation of state-dependent input delay for nonlinear systems, IEEE Transactions on Automatic Control, vol.58, issue.2, p.275289, 2013.

N. K. Bekiaris-liberis and M. Krstic, Robustness of nonlinear predictor feedback laws to time- and state-dependent delay perturbations, Automatica, vol.49, issue.6, p.15761590, 2013.
DOI : 10.1016/j.automatica.2013.02.050

S. Bianchini and A. Bressan, Vanishing viscosity solutions of nonlinear hyperbolic systems, Annals of Mathematics, vol.161, issue.1, p.223342, 2005.
DOI : 10.4007/annals.2005.161.223

C. Bidard, Stabilisation des systémes commandés par réseaux, 2005.

M. L. Booy, Geometry of fully wiped twin-screw equipment, Polymer Engineering and Science, vol.88, issue.12, p.973984, 1978.
DOI : 10.1115/1.3645783

M. L. Booy, Isothermal ow of viscous liquids in corotating twin screw devices, Polymer Engineering Science, vol.20, p.12201228, 1980.

K. Bouchemal, F. Couenne, S. Briancon, H. Fessi, and M. Tayakout, Polyamides nanocapsules: Modeling and wall thickness estimation, AIChE Journal, vol.269, issue.6, p.21612170, 2006.
DOI : 10.1002/pol.1985.170230102

, Etude Mathématique et Numérique des Equations Hyperboliques Nonlinéaires: couplage de modèles et chocs non classiques, 2009.

B. Boutin, F. Coquel, and E. Godlewski, Dafermos regularization for interface coupling of conservation laws Hyperbolic Problems: Theory, p.567575, 2008.

B. Boutin, F. Coquel, and E. Godlewski, Dafermos Regularization for Interface Coupling of Conservation Laws, 2008.
DOI : 10.1007/978-3-540-75712-2_55

D. Bresch-pietri, J. Chauvin, and N. Petit, Invoking halanay inequality to conclude on closed-loop stability of processes with input-varying delay, proceedings of the 10-th IFAC Workshop on Time Delay Systems TDS, 2012.

M. Bués and M. Panlov, Delay Model for a Cycling Transport Through Porous Medium, Transport in Porous Media, p.215241, 2004.
DOI : 10.1023/B:TIPM.0000010674.93676.de

R. Burger and K. H. Karlsen, Conservation laws with discontinuous ux : a short introduction, J. Eng. Math, vol.60, p.241247, 2008.

S. Canic, A. Mikelic, T. Kim, and G. Guidoboni, Existence of a Unique Solution to a Nonlinear Moving-Boundary Problem of Mixed Type Arising in Modelling Blood Flow, 2011.

J. Cervera, A. J. Van-der-schaft, and A. Baños, Interconnection of port-Hamiltonian systems and composition of Dirac structures, Automatica, vol.43, issue.2, p.212225, 2007.
DOI : 10.1016/j.automatica.2006.08.014

M. Chapet and B. Vergnes, Procédés d'extrusion bivis. Techniques de l'ingénieur Plasturgie : procédés d'extrusion, 2013.

Y. S. Choi and C. Miller, Global existence of solutions to a coupled parabolichyperbolic system with moving boundary, proceedings of the, pp.3257-3270, 2011.

S. Choulak, F. Couenne, Y. Le-gorrec, C. Jallut, P. Cassagnau et al., Generic Dynamic Model for Simulation and Control of Reactive Extrusion, Industrial & Engineering Chemistry Research, vol.43, issue.23, p.73737382, 2004.
DOI : 10.1021/ie0342964

S. E. Choulak, Modélisation et commande d'un procédé d'extrusion reactive, 2004.

P. D. Christodes and C. Antoniades, Feedback control of nonlinear dierential dierence equation systems, Chemical Engineering Science, vol.54, issue.1, p.56775709, 1999.

J. Coron, Control and nonlinearity, volume 136 of Mathematical Surveys and Monographs, 2007.

J. Coron, M. Kawski, and Z. Wang, Analysis of a conservation law modeling a highly re-entrant manufacturing system, Discrete and Continuous Dynamical Systems - Series B, vol.14, issue.4
DOI : 10.3934/dcdsb.2010.14.1337
URL : http://www.aimsciences.org/journals/doIpChk.jsp?paperID=5398&mode=full

. B. Ser, , p.13371359, 2010.

T. J. Courant, Dirac manifolds, Transactions of the American Mathematical Society, vol.319, issue.2, p.631661, 1990.
DOI : 10.1090/S0002-9947-1990-0998124-1

D. Coutand and S. Shkoller, Well-posedness in smooth function spaces for movingboundary 1-d compressible euler equations in physical vacuum, Communications on pure and applied, vol.64, p.328366, 2011.

D. Chen and A. Friedman, A two-phase free boundary problem with discontinuous velocity: Application to tumor model, Journal of Mathematical Analysis and Applications, vol.399, issue.1, p.378393, 2013.
DOI : 10.1016/j.jmaa.2012.10.035

B. J. Daly, Numerical study of two uid Rayleigh-Taylor instability, Physics of Fluids, vol.10, p.297307, 1967.

B. J. Daly and A. E. Pratch, Numerical Study of Density-Current Surges, Physics of Fluids, vol.11, issue.1, p.1530, 1968.
DOI : 10.1063/1.1691748

N. Daraoui, P. Dufour, H. Hammouri, and A. Hottot, Model predictive control during the primary drying stage of lyophilisation, Control Engineering Practice, vol.18, issue.5, p.483494, 2010.
DOI : 10.1016/j.conengprac.2010.01.005
URL : https://hal.archives-ouvertes.fr/hal-00434481

M. Diagne, V. D. Santos-martins, F. Couenne, and B. Maschke, Well posedness of the model of an extruder in innite dimension, 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), 1926.

M. Diagne, V. D. Santos-martins, F. Couenne, B. Maschke, and C. Jallut, Modélisation et commande d'un système d'équations aux dérivées partielles à frontière mobile

, Journal Européen des Systèmes Automatisés, vol.45, p.665691, 2011.

J. Dieulot, N. Petit, P. Rouchon, and G. Delaplace, An arrangement of ideal zones with shifting boundaries as a way to model mixing processes in unsteady stirring conditions in agitated vessels, Chemical Engineering Science, vol.60, issue.20, p.6055445554, 2005.
DOI : 10.1016/j.ces.2005.03.067

W. B. Dunbar, N. Petit, P. Rouchon, and P. Martin, Motion Planning for a nonlinear Stefan Problem, ESAIM: Control, Optimisation and Calculus of Variations, vol.10, p.275296, 2003.
DOI : 10.1002/1099-1239(20000715)10:8<629::AID-RNC502>3.0.CO;2-N

N. H. El-farra, A. Armaou, and P. D. Christodes,

, American Control Conference Proceedings of the 2000, pp.2275-2279, 2000.

R. , Robust stabilization of uncertain time-delay systems using variable structure output feedback control, Proceedings of 1995 American Control Conference, ACC'95, pp.42364237-95
DOI : 10.1109/ACC.1995.532731

J. Elsey, J. Riepenhausen, B. Mckay, G. W. Barton, and M. Willis, Modeling and control of a food extrusion process, Computers Chemical Engineering, vol.21, p.361366, 1997.
DOI : 10.1016/s0098-1354(97)00075-6

S. Evesque, A. Annaswamy, S. Niculescu, and A. Dowling, Adaptive control scheme for uncertain time-delay systems, Journal of Dynamic Systems, Measurement and Control, vol.125, issue.2, 2003.

A. Fattouh, O. Sename, and J. Dion, Pulse controller design for linear systems with delayed state and control, Proceedings of the 1st IFAC Symposium on System Structure and Control, p.46684672, 2001.

T. Fukuoka, Numerical analysis of a reactive extrusion process. Part II: Simulations and verifications for the twin screw extrusion, Polymer Engineering & Science, vol.34, issue.12, p.25242538, 2000.
DOI : 10.1002/pen.760341302

S. C. Garge, M. D. Wetzel, and B. A. Ogunnaike, Inference-Based Scheme for Controlling Product End-Use Properties in Reactive Extrusion Processes, Industrial & Engineering Chemistry Research, vol.49, issue.17, p.80218034, 2010.
DOI : 10.1021/ie100435s

D. Georges, G. Besançon, Z. Benayache, and E. Witrant, A nonlinear state feedback design for nonlinear systems with input delay, Proceedings of the European Control Conference, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00130121

E. Godlewski, K. Than, and P. A. Raviart, The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.4, p.649692, 2005.
DOI : 10.1137/S0036142900374974
URL : https://hal.archives-ouvertes.fr/hal-00113734

E. Godlewski and P. Raviart, The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: I. The scalar case, Numerische Mathematik, vol.97, issue.1, p.81130, 2004.
DOI : 10.1007/s00211-002-0438-5

E. Godlewski and N. Seguin, The Riemann problem for a simple model of phase transition, Communications in Mathematical Sciences, vol.4, issue.1, p.227247, 2006.
DOI : 10.4310/CMS.2006.v4.n1.a9
URL : https://hal.archives-ouvertes.fr/hal-00113098

F. Gouaisbaut, M. Dambrine, and J. P. Richard, Robust control of delay systems: a sliding mode control design via LMI, Systems & Control Letters, vol.46, issue.4, p.219230, 2002.
DOI : 10.1016/S0167-6911(01)00199-2
URL : https://hal.archives-ouvertes.fr/hal-00369230

F. Gouaisbaut, W. Perruquetti, and J. Richard, A sliding mode control for linear systems with input and state delays, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), p.42344239, 1999.
DOI : 10.1109/CDC.1999.828026

P. K. Gundepudi and J. Friedly, Velocity control of partial dierential equation systems with single characteristic variable, Chemical Engineering Science, vol.53, issue.24, p.40554072, 1998.
DOI : 10.1016/s0009-2509(98)00165-1

S. Gupta, The classical Stefan problem Basic concepts, Modelling and Analysis. Applied mathematics and Mechanics, 2003.

T. A. Haley and S. J. Mulvaney, On-line system identication and control design of an extrusion cooking process: Part II. system model predictive and inferential control design, Food Control, vol.11, p.121129, 2000.
DOI : 10.1016/s0956-7135(99)00068-7

T. A. Haley and S. J. Mulvaney, On-line system identication and control design of an extrusion cooking process: Part I. system identication, Food Control, vol.11, p.103120, 2000.
DOI : 10.1016/s0956-7135(99)00068-7

H. Hamane, S. Yokoyama, H. Onogaki, and M. Iwatani, Design of decoupling system for eliminating disturbutance on extruder temperature control system, IEEE Transactions on Automatic Control, vol.48, 2003.

F. Harlow and J. Welch, Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface, Physics of Fluids, vol.149, issue.12, pp.2182-2189, 1965.
DOI : 10.1098/rsta.1952.0006

P. Helluy and N. Seguin, Relaxation models of phase transition ows, M2AN Math. Model. Numer. Anal, vol.40, issue.2, p.331352, 2006.

J. Hua, T. Liang, H. Sun, and Z. Lei, Time-delay compensation control of networked control systems using time-stamp based state prediction, International Colloquium on Computing, Communication, Control, and Management, p.198202, 2008.

B. Jacob and H. J. Zwart, Linear Port-Hamiltonian Systems on Innite-dimensional Spaces, volume 223 of Operator Theory: Advances and Applications
DOI : 10.1007/978-3-0348-0399-1

E. M. Jafarov, Robust delay-dependent stabilization of uncertain time-delay systems by variable structure control, 2008 International Workshop on Variable Structure Systems, p.250255, 2008.
DOI : 10.1109/VSS.2008.4570716

L. P. Janssen, P. F. Rozendal, M. Cio, and H. W. Hoogstraten, A Dynamic Model for Multiple Steady States in Reactive Extrusion, International Polymer Processing, vol.16, issue.3, p.263271, 2001.
DOI : 10.3139/217.1651

L. P. Janssen, P. F. Rozendal, M. Cio, and H. W. Hoogstraten, A dynamic model accounting for oscillating behavior in extrusion reaction, International Polymer Processing, vol.18, p.277284, 2003.
DOI : 10.3139/217.1748

I. Karafyllis, Finite-time global stabilization by means of time-varying distributed delay feedback, SIAM J. Control and Optimization, vol.45, issue.1, p.320342, 2006.
DOI : 10.1137/040616383

K. H. Karlsen, M. Rascle, and E. Tadmor, On the existence and compactness of a twodimensional resonant system of conservation laws, Commun. Math. Sci, vol.5, issue.2, p.253265, 2007.

T. Kato, Pertubation Theory for Linear Operators, Classics in Mathematics, 1995.

E. K. Kim and J. L. White, Isothermal transient startup for starved ow modular co-rotating twin screw extruder, Polymer Engineering and Science, vol.40, p.543553, 2004.
DOI : 10.1002/pen.11185

E. K. Kim and J. L. White, Non-isothermal transient startup for starved ow modular co-rotating twin screw extruder, International Polymer Processing, vol.15, p.233241, 2004.
DOI : 10.3139/217.1596

M. Krstic, On compensating long actuator delays in nonlinear control, IEEE Transactions on Automatic Control, vol.53, issue.7, p.16841688, 2008.
DOI : 10.1109/tac.2008.928123

M. Krstic, Lyapunov stability of linear predictor feedback for time-varying input delay, IEEE Transactions on Automatic Control, vol.55, issue.2, p.554559, 2010.
DOI : 10.1109/cdc.2009.5400095

M. Krstic,

, Delay-Adaptive Full-State Predictor Feedback

, Foundations & Applications. Birkhäuser, 2009.

M. K. Kulshreshtha, C. A. Zaror, J. David, and . Jukes, Simulating the performance of a control system for food extruders using model-based set-point adjustment, Food Control, vol.6, issue.3, p.135141, 1995.
DOI : 10.1016/0956-7135(94)00006-Y

M. K. Kulshrestha and C. A. Zaror, An unsteady state model for twin screw extruders, p.2128, 1992.

Y. , L. Gorrec, H. Zwart, and B. M. Maschke, Dirac structures and boundary control systems associated with skew-symmetric dierential operators, SIAM J. of Control and Optimization, vol.44, issue.5, p.18641892, 2005.

C. Li, Modelling extrusion cooking. Food and Bioproducts Processing, pp.55-63, 1999.

C. Li, Modelling extrusion cooking, Mathematical and Computer Modelling, vol.33, p.553563, 2001.

T. Li and Y. Jin, Semi-global C 1 solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems, Chinese Ann. Math. Ser. B, vol.22, p.325336, 2001.

W. Lili, J. Yuxi, S. Sheng, Z. Guofang, Z. Guoqun et al., Numerical simulation of reactive extrusion processes for activated anionic polymerization, Journal of materials processing technology, vol.199, p.15663, 2008.

A. Macchelli and B. M. Maschke, Modeling and Control of Complex Physical Systems -The Port-Hamiltonian Approach, chapter Innite-dimensional Port-Hamiltonian Systems, p.211272, 2009.

A. Macchelli and C. Melchiorri, Modeling and Control of the Timoshenko Beam. The Distributed Port Hamiltonian Approach, SIAM Journal on Control and Optimization, vol.43, issue.2, p.743767, 2004.
DOI : 10.1137/S0363012903429530

A. Macchelli and C. Melchiorri, Control by interconnection of mixed port Hamiltonian systems, IEEE Transactions on Automatic Control, vol.50, issue.11, p.18391844, 2005.
DOI : 10.1109/TAC.2005.858656

P. O. Malaterre, D. C. Rogers, and J. Schuurmans, Multivariable predictive control of irrigation canals. design and evaluation on a 2-pool model, Proceedings of the International Workshop on Regulation of Irrigation Canals: State of the Art of Research and Applications, 1997.

A. Manitius and A. W. Olbrot, Finite spectrum assignment problem for systems with delays, IEEE Transactions on Automatic Control, vol.24, issue.4, p.541552, 1979.
DOI : 10.1109/TAC.1979.1102124

W. Mao and J. Chu, -stability for linear continuous-time systems with multiple time delays, Automatica, vol.42, issue.9, p.15891592, 20086.
DOI : 10.1016/j.automatica.2006.03.018

B. Maschke, A. J. Van, and . Schaft, Advanced Topics in Control Systems Theory

, chapter Compositional modelling of distributed-parameter systems, Lecture Notes from FAP Lecture Notes on Control and Information Sciences, vol.311, p.115154, 2004.

M. Mcafee and S. Thompson, A novel approach to dynamic modeling of polymer extrusion for improved process control, Systems and Control Engineering, vol.221, p.617627, 2007.

W. Michiels, S. Mondié, D. Roose, and M. Dambrine, The eect of approximating distributed delay control laws on stability, Advances in Time-Delay Systems, p.207222, 2004.

B. Mirkin, P. Gutman, and Y. Shtessel, Continuous model reference adaptive control with sliding mode for a class of nonlinear plants with unknown state delay, 2009 American Control Conference, p.574579, 2009.
DOI : 10.1109/ACC.2009.5159990

L. Mirkin, On the approximation of distributed-delay control laws, Systems & Control Letters, vol.51, issue.5, p.331342, 2004.
DOI : 10.1016/j.sysconle.2003.09.010

S. Mondié and W. Michiels, Finite spectrum assignment of unstable time-delay systems with a safe implementation, IEEE Transactions on Automatic Control, vol.48, issue.12, p.4822072212, 2003.
DOI : 10.1109/TAC.2003.820147

S. Mondié and W. Michiels, A safe implementation for nnite spectrum assignment : robustness analysis, Proceedings of the 42nd IEEE Conference on Decision and Control, p.46684672, 2003.

R. G. Moreira, A. K. Srivastava, and J. B. Gerrish, Feedforward control model for a twin-screw food extruder, Food Control, vol.1, issue.3, p.361386, 1990.
DOI : 10.1016/0956-7135(90)90009-2

A. Muntean, Well-posedness of a moving-boundary problem with two moving reaction strips, Nonlinear Analysis: Real World Applications, vol.10, issue.4, p.25412557, 2009.
DOI : 10.1016/j.nonrwa.2008.05.010

R. R. Negenborn and B. Schutter, A distributed model predictive control approach for the control of irrigation canals, 2008 First International Conference on Infrastructure Systems and Services: Building Networks for a Brighter Future (INFRA), p.16, 2008.
DOI : 10.1109/INFRA.2008.5439671

S. A. Nield, H. M. Budman, and C. Tzoganakis, Control of a LPDE reactive extrusion process, Control Engineering Practice, vol.8, p.911920, 2000.

M. T. Nihtila, Adaptive control of a continuous-time system with time-varying input delay, Systems & Control Letters, vol.12, issue.4, pp.357-364, 1989.
DOI : 10.1016/0167-6911(89)90046-7

M. T. Nihtila, Finite pole assignment for systems with time-varying input delays, [1991] Proceedings of the 30th IEEE Conference on Decision and Control, p.927928, 1991.
DOI : 10.1109/CDC.1991.261456

W. F. Noh and P. Woodward, SLIC (Simple Line Interface Calculation), Proceedings, Fifth International Conference on Numerical Methods in Fluid Dynamics, pp.330-340, 1976.
DOI : 10.1007/3-540-08004-X_336

P. J. Olver, Applications of Lie Groups to Dierential Equations, volume 107 of Graduate texts in mathematics, 1993.

R. Ortega, M. W. Spong, S. Lee, and K. Nam, On compensation of wave reexions in transmission lines and applications to the overvoltage problem in AC motor drives

, IEEE Trans. on Automatic Control, vol.49, issue.10, 2004.

S. Osher and J. A. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, p.1249, 1988.
DOI : 10.1016/0021-9991(88)90002-2

B. J. Parker and D. L. Youngs, Two and three dimensional eulerian simulation of uid ow with material interfaces, UK Atomic Weapons Research Establishment (AWRE), pp.201-225, 1992.

N. Petit, Control problems for one-dimensional uids and reactive uids with moving interfaces In Advances in the theory of control, signals and systems with physical modeling , volume 407 of Lecture notes in control and information sciences, p.323337, 2010.

L. Prat, S. N-'diaye, L. Rigal, and C. Gourdon, Solid-liquid transport in a modied corotating twin-screw extruder-dynamic simulator and experimental validations, Chemical Engineering and Processing, vol.43, p.881886, 2004.

F. Previdi, S. M. Savaresi, and A. Panarotto, Design of a feedback control system for real-time control of ow in a single-screw extruder, Control Engineering practice, vol.14, p.11111121, 2006.

E. Purlis and V. O. Salvadori, A moving boundary problem in a food material undergoing volumechange -simulation of bread baking, Food Research International, vol.43, p.949958, 2008.

R. Borsche, R. M. Colombo, and M. Garavello, On the coupling of systems of hyperbolic conservation laws with ordinary dierential equations

J. P. Richard, Time-delay systems: an overview of some recent advances and open problems, Automatica, vol.39, issue.10, p.3916671694, 2003.
DOI : 10.1016/S0005-1098(03)00167-5

J. Robertt, H. Martin, and M. E. Oxley, Moving boundaries in reaction-diusion systems with absorption, Nonlinear Analysis. Theory, vol.14, issue.2, p.167192, 1990.

V. M. Ruiz and J. Ramirez, Predictive control in irrigation canal operation, Proceedings of the 1998 IEEE International Conference on Systems, Man, and Cybernetics, 1998.

J. S. Saltzman and E. G. Packett, A 3-D adaptive mesh renement algorithm for multimaterial gas dynamics, Physica D, vol.60, p.84104, 1992.

H. Shang, J. F. Forbes, and M. Guay, Feedback control of hyperbolic distributed parameter systems, Chemical Engineering Science, vol.60, issue.4, p.969980, 2005.
DOI : 10.1016/j.ces.2004.09.067

P. Shang and Z. Wang, Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing system, Journal of Differential Equations, vol.250, issue.2, pp.949-982, 2011.
DOI : 10.1016/j.jde.2010.09.003
URL : https://hal.archives-ouvertes.fr/hal-00841189

B. Singh and S. J. Mulvaney, Modeling and process control of twin-screw cooking food extruders, Journal of Food Engineering, vol.23, issue.4, p.403428, 1994.
DOI : 10.1016/0260-8774(94)90102-3

O. J. Smith, Closer control of loops with dead time, Chemical Engineering Progress, vol.53, issue.5, p.217219, 1957.

W. Song, Y. Liu, and L. Sun, Model reference adaptive integral-type sliding mode control design for a class of uncertain systems, The Sixth World Congress on Intelligent Control and Automation, p.20562060, 2006.

J. Tan and J. M. Hofer, Self-tuning predictive control of processing temperature for food extrusion, Journal of Process Control, vol.5, issue.3, p.183189, 1995.
DOI : 10.1016/0959-1524(94)00003-U

A. Leong-ping-tan, E. Lot, J. B. Lai, and . Hull, Soft computing applications in dynamic model identication of polymer extrusion process, Applied Soft Computing, vol.4, p.345355, 2004.

T. O. Broadhead, W. I. Patterson, and J. M. Dealy, Closed loop viscosity control of reactive extrusion with an in-line rheometer, Polymer Engineering & Science, vol.60, issue.23, p.28402851, 1996.
DOI : 10.1002/cjce.5450600314

G. Tryggvason, B. Bunner, A. Esmaeeli, D. Juric, N. Al-rawahi et al., A front-tracking method for the computations of multiphase ow, Journal of Computational Physics, vol.169, p.708759, 2001.
DOI : 10.1006/jcph.2001.6726
URL : http://www.ann.jussieu.fr/~frey/papers/levelsets/Tryggvason G., A front tracking method for the computations of multiphase flow.pdf

V. Van-assche, M. Dambrine, J. Lafay, and J. Richard, Some problems arising in the implementation of distributed-delay control laws, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), p.46684672, 1999.
DOI : 10.1109/CDC.1999.833279

A. J. Van-der-schaft and B. M. Maschke, The Hamiltonian formulation of energy conserving physical systems with external ports, Archiv für Elektronik und Übertragungstechnik, p.362371, 1995.

A. J. Van-der-schaft and B. M. Maschke, Hamiltonian formulation of distributed parameter systems with boundary energy ow, J. of Geometry and Physics, vol.42, p.166174, 2002.

S. Stramigioli, V. Duindam, A. Macchelli, and H. , Bruyninckx eds. Modeling and Control of Complex Physical Systems -The Port-Hamiltonian Approach, 2009.

S. A. Velardi and A. A. Barresi, Development of simplied models for the freeze-drying process and investigation of the optimal operating conditions, Chemical Engineering Research and Design, vol.86, p.922, 2008.

B. Vergnes and F. Berzin, Modeling of??reactive systems in??twin-screw extrusion: challenges and??applications, Comptes Rendus Chimie, vol.9, issue.11-12, p.14091418, 2006.
DOI : 10.1016/j.crci.2006.07.006
URL : https://hal.archives-ouvertes.fr/hal-00510653

B. Vergnes, V. G. Della, and L. Delamare, Global computer software for polymer ows in corotating twin screw extruders, Polym. Eng. Sci, vol.38, p.17811792, 1998.
DOI : 10.1002/pen.10348

J. A. Villegas, A Port-Hamiltonian Approach to Distributed Parameter Systems, 2007.

J. A. Villegas, H. Zwart, Y. L. Gorrec, and B. Maschke, Stability and Stabilization of a Class of Boundary Control Systems, Proceedings of the 44th IEEE Conference on Decision and Control, pp.142-147, 2009.
DOI : 10.1109/CDC.2005.1582762

B. T. Wahlin and A. J. Clemmens, Automatic Downstream Water-Level Feedback Control of Branching Canal Networks: Simulation Results, Journal of Irrigation and Drainage Engineering, vol.132, issue.3, p.208219, 2006.
DOI : 10.1061/(ASCE)0733-9437(2006)132:3(208)

L. Wang, S. Smith, and C. Chessaric, Continuous-time model predictive control of food extruder, Control Engineering Practice, vol.16, issue.10, p.11731183, 2008.
DOI : 10.1016/j.conengprac.2008.01.006

Y. Wang and J. Tan, Dual-target predictive control and application in food extrusion, Control Engineering Practice, vol.8, issue.9, p.10551062, 1995.
DOI : 10.1016/S0967-0661(00)00025-3

Z. Wang, Exact controllability for nonautonomous rst order quasilinear hyperbolic systems, Chinese Ann. Math. Ser. B, vol.27, p.643656, 2006.
DOI : 10.1007/s11401-005-0520-2

S. Welch, Local simulation of two-phase ows including interface tracking with mass transfer, J. Comput. Phys, vol.17, p.121142, 1995.
DOI : 10.1006/jcph.1995.1185

E. Witrant, C. Canudas-de-wit, and D. Georges, Remote output stabilization under two channels time-varying delays, Proc. of the 4th IFAC Workshop on Time Delay Systems, 2003.
DOI : 10.1016/S1474-6670(17)33315-3
URL : https://hal.archives-ouvertes.fr/hal-00196877

E. Witrant, C. Canudas-de-wit, D. Georges, and M. Alamir, Remote stabilization via time-varying communication network delays: application to TCP networks, Proceedings of the 2004 IEEE International Conference on Control Applications, 2004., 2004.
DOI : 10.1109/CCA.2004.1387256
URL : https://hal.archives-ouvertes.fr/hal-00196872

E. Witrant, D. Georges, and C. Canudas-de-wit, Optimal control design for the stabilization of network controlled systems, 2006 American Control Conference, 2006.
DOI : 10.1109/ACC.2006.1656644
URL : https://hal.archives-ouvertes.fr/hal-00196894

S. Xia, N. H. Hodge, and T. F. Wiesner, Distributed control of plant-wide chemical processes with uncertain time-delays

, Chemical Engineering Science, vol.64, p.20572066, 2009.

S. Xu and J. Bao, Distributed control of plant-wide chemical processes with uncertain time-delays, Chemical Engineering Science, vol.84, p.512532, 2012.
DOI : 10.1016/j.ces.2012.08.045

X. Yu, An LMI approach to robust H? ltering for uncertain systems with time-varying distributed delays, Journal of the Franklin Institute, vol.345, p.877890, 2008.

W. Zhao and Y. Zhao, Integral sliding mode control for a class nonlinear systems, International Conference on Neural Networks and Brain, p.10931096, 2005.

H. Zwart, Y. Le-gorrec, B. Maschke, and J. Villegas, Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain . ESAIM-Control Optimization and Calculus of Variations, p.10771093, 2010.