Publications
Recent preprint and submitted papers
 P. Gajardo and C. Hermosilla, Pareto fronts of the set of sustainable thresholds for constrained control systems. Submitted 2018.
 L. Doyen and P. Gajardo, Sustainability standards, multicriteria maximin and viability. Submitted 2018.
 P. Gajardo and C. Hermosilla, The viability kernel of dynamical systems with mixed constraints: A levelset approach. Submitted 2018.
Publications (journal)
 T. Bayen and P. Gajardo, On the steady state optimization of the biogas production in a twostage anaerobic digestion model. To appear in Journal of Mathematical Biology (2018).
 P. Gajardo, M. Olivares, and H. Ramirez C., Methods for the sustainable rebuilding of overexploited natural resources: A viability approach. To appear in Environmental Modeling & Assessment (2018)
 T. Bayen, O. Cots, and P. Gajardo, Analysis of an optimal control problem related to the anaerobic digestion process. Journal of Optimization Theory and Applications 178 (2018) (2): 918.
 E. Barrios, P. Gajardo, and O. Vasilieva, Sustainable thresholds for cooperative epidemiological models. Mathematical Biosciences 302 (2018) (2): 627659.
 P. Gajardo, C. Morales, and J. Peypouquet, Monotonicity beyond Minty and Kato on locally convex spaces. Journal of Mathematical Analysis and Applications 435 (2016): 17011709.
 J. Rodriguez, H. Ramírez C., P. Gajardo, and A. Rapaport, Optimality of affine control system of several species in competition on a sequential batch reactor. International Journal of Control, 87 (2014) (9):18771885.
 P. Gajardo, H. Ramírez C., and J. Rodriguez, Tools for improving feeding strategies in a SBR with several species. Bioprocess and Biosystems Engineering 37 (2014) (8): 6370.
 P. Gajardo and A. Seeger, Equilibrium problems involving the Lorentz cone. Journal of Global Optimization 58 (2014): 321340.
 R. Correa, P. Gajardo, L. Thibault, and D. Zagrodny, Existence of minimizers on drops. SIAM Journal on Optimization 23 (2013) (2): 11541166.
 T. Bayen, P. Gajardo and F. Mairet, Optimal synthesis for the minimum time control problems of fedbatch bioprocesses for growth functions with two maxima. Journal of Optimization Theory and Applications 158 (2013) (2): 521553.
 P. Gajardo and A. Seeger, Solving inverse coneconstrained eigenvalue problems. Numerische Mathematik 123 (2013) (2): 309331.
 P. Gajardo and A. Seeger, Reconstructing a matrix from a partial sampling of Pareto eigenvalues. Computational Optimization and Applications 51 (2012) (3):11191135.
 P. Gajardo, J. Harmand, H. Ramírez C., and A. Rapaport, Minimaltime bioremediation of natural water resources. Automatica 47 (2011) (8): 17641769.
 P. Gajardo, J. PeñaTorres, and H. Ramírez C., Harvesting economic models and catchtobiomass dependence: The case of small pelagic fish. Natural Resource Modeling 24 (2011) (2): 268296.
 M. De Lara, P. Gajardo, and H. Ramírez C., Viable states for monotone harvest models. Systems and Control Letters 60 (2011) (3) 192197.
 R. Correa, P. Gajardo, and L. Thibault, Various Lipschitz like properties for functions and sets I: Directional derivative and tangential characterizations. SIAM Journal on Optimization 20 (2010) (4): 17661785.
 P. Gajardo, F. Mazenc, and H. Ramírez C., Competitive
exclusion principle in a model of chemostat with delays. Dynamics of Continuous, Discrete and Impulsive Systems Ser. A 16 (2009) (4a): 253272.
 R. Correa, P. Gajardo, and L. Thibault, Links between
directional derivatives through multidirectional mean value
inequalities. Mathematical Programming Ser. B 116 (2009) (12): 5577.
 P. Gajardo, H. Ramírez C., and A. Rapaport, Minimal time sequential batch reactors with bounded and impulse controls for one or more species. SIAM Journal on Control and Optimization 47 (2008) (6): 28272856.
 R. Correa, P. Gajardo, and L. Thibault, Subdifferential
representation formula and subdifferential criteria for the
behavior of nonsmooth functions. Nonlinear Analysis 65 (2006)
(4): 864891.
 P. Gajardo and A. Seeger, Higherorder spectral analysis
and weak asymptotic stability of convex processes. Journal of Mathematical Analysis and Applications 318 (2006) (1): 155174.
 F. Alvarez, R. Correa, and P. Gajardo, Inner estimation of
the eigenvalue set and exponential series solutions to
differential inclusions. Journal of Convex Analysis 12 (2005) (1) :
111.
 R. Correa and P. Gajardo, Eigenvalues of Setvalued
operators in Banach spaces. SetValued Analysis 13 (2005) (1) :
119.
 P. Gajardo and A. Seeger, Epsiloneigenvalues of
multivalued operators. SetValued Analysis 11 (2003) (3) :
273296.
