Bakir, T., Othman, S., Fevotte, G., and Hammouri, G.
(2006). Nonlinear observer of crystal-size distribution
during batch crystallization. AIChe Journal, 52 (6),
2188–2197.

Beniich, N., Abouzaid, B., and Dochain, D. (2018). On
the existence and positivity of a mass structured cell
population model. Appl. math. sci., 12 (19), 921–934.

Brogliato, B., Lozano, R., Maschke, B., and Egeland,
O. (2007). Dissipative Systems Analysis and Control:
Theory and Applications. Springer-Verlag, London, 2nd
edition.

Daoutidis, P. and Henson, M. (2002). Dynamics and
control of cell populations in continuous bioreactors.
AIChe Symposium Series, 326, 274–289.

Dochain, D. (2003). State observers for processes with
uncertain kinetics. Int. J. Control, 76 (15), 1483–1492.

Dochain, D., Perrier, M., and Ydstie, B. (1992). Asymp-
totic observers for stirred tank reactors. Chem. Eng.
Sci., 47 (15/16), 4167–4177.

Dym, H. (2007). Linear algebra in action. American
Mathematical Society.

Gauthier, J.P., Hammouri, H., and Othman, S. (1992). A
simple observer for nonlinear systems: Applications to
bioreactors. IEEE Trans. Autom. Control., 37 (6), 875–
880.

Goffaux, G., Wouver, A.V., and Bernard, O. (2009). Con-
tinuous - discrete interval observers for monitoring mi-
croalgae cultures. Biotechnol. Progr., 25 (3), 667–675.

Hill, D.J. and Moylan, P. (1980). Dissipative dynamical
systems: basic input-output and state properties. J.
Franklin Inst., 309 (5), 327–357.

Khalil, H. (1996). Nonlinear Systems. Prentice-Hall,
Upper Saddle River, New Jersey, 2nd edition.

Mantzaris, N.V. and Daoutidis, P. (2004). Cell population
balance modeling and control in continuous bioreactors.
J. Process Control, 14, 775–784.

Mesbah, A., Huesman, A.E.M., Kramer, H.J.M., and
den Hof, P.M.J.V. (2011). A comparison of nonlinear
observers for output feedback model-based control of
seeded batch crystallization processes. J. Process Con-
trol, 21 (4), 652–666.

Mhaskar, P., Hjortso, M.A., and Henson, M. (2002). Cell
population modeling and parameter estimation for con-
tinuous cultures of saccharomyces cerevisiae. Biotech-
nol. Prog., 18, 1010–1026.

Moisan, M., Bernard, O., and Gouze, J.L. (2009). Near
optimal interval observers bundle for uncertain bioreac-
tors. Automatica, 45, 291–295.

Moreno, J.A. (2004). Observer design for nonlinear sys-
tems: A dissipative approach. Proceedings of the 2nd
IFAC Symposium on System, Structure and Control
(SSSC2004), Oaxaca, Mexico, 735–740.

Moreno, J.A. (2005). Approximate observer error lin-
earization by dissipativity methods. In T. Meurer,

K. Graichen, and E.D. Gilles (eds.), Control and Ob-
server Design for Nonlinear Finite and Infinite Dimen-
sional Systems, volume 322 of Lecture Notes in Control
and Information Sciences, 35–51. Springer.

Motz, S., Mannal, S., and Gilles, E.D. (2008). State esti-
mation in batch crystallization using reduced population
models. J. Process Control, 18 (3-4), 361–374.

Schaum, A. and Jerono, P. (2019). Observability analysis
and observer design for a class of cell population balance
models. IFAC-PapersOnLine, 52 (2), 189–194.

Schaum, A., Moreno, J.A., and Vargas, A. (2005). Global
observability and detectability analysis for a class of
nonlinear models of biological processes with bad inputs.
Proceedings of the 2nd IEEE Int. Conf. on Electrical
and Electronics Engineering, (ICEEE) and XI Conf. on
Electrical Engineering (CIE), 343–346.

Schaum, A. and Moreno, J. (2006). Dissipativity based ob-
server design for a class of biochemical process models.
2do. Congreso de Computacion, Informatica, Biomedica
y Electronica (CONCIBE 2006), Guadalajara, Mexico,
161–166.

Schügerl, K. and Bellgard, K.H. (2000). Bioreactor models.
In K. Schügerl and K.H. Bellgard (eds.), Bioreaction en-
gineering: modelling and control. Springer-Verlag Berlin
Heidelberg.

Villadsen, J. (1999). On the use of population balances.
J. Biotechnol., 71, 251–253.

Willems, J.C. (1972a). Dissipative dynamical systems:
Part I - general theory. Archive for Rational Mechanics
and Analysis, 45 (5), 321–351.

Willems, J.C. (1972b). Dissipative dynamical systems:
Part II - linear systems with quadratic supply rates.
Archive for Rational Mechanics and Analysis, 45 (5),
352–393.