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For a sequence of dynamic optimization problems, we aim at discussing a notion of consistency over time. This notion can be informally introduced as follows. At the very first time step t 0 , the decision maker formulates an optimization problem that yields optimal decision rules for all the forthcoming time step t 0 , t 1 ,. .. , T ; at the next time step(More)
Cholera remains a major public health problem with significant mortality, and numerous re-emergences have been observed in the last decade in many developing countries. Previous analyses have suggested a complex process for cholera disease emergence and spread, particularly related to environmental factors associated to aquatic habitats. To disentangle the(More)
Like many marine organisms, most coral reef fishes have a dispersive larval phase. The fate of this phase is of great concern for their ecology as it may determine population demography and connectivity. As direct study of the larval phase is difficult, we tackle the question of dispersion from an opposite point of view and study self-recruitment. In this(More)
In stochastic optimal control, a key issue is the fact that " solutions " are searched for in terms of " feedback " over available information and, as a consequence, a major potential difficulty is the fact that present control may affect future available information. This is known as the " dual effect " of control. Given a minimal framework (that is, an(More)
This paper deals with the control of nonlinear systems in the presence of state and control constraints for discrete time dynamics in finite dimensional spaces. The viability kernel is known to play a basic role for the analysis of such problems and the design of viable control feedbacks. Unfortunately, this kernel may display very non regular geometry and(More)
This paper deals with the control of nonlinear systems in the presence of state and control constraints for discrete-time dynamics in finite-dimensional spaces. The viability kernel is known to play a basic role for the analysis of such problems and the design of viable control feedbacks. Unfortunately, this kernel may display very nonregular geometry and(More)