The “Montagnes Russes” algorithm for finding the global minima of a lower semi-continuous function (thus involving state constraints) is a descent algorithm applied to an auxiliary function whose local and global minima are the global minima of the original function. Although this auxiliary...

The “Montagnes Russes” algorithm for finding the global minima of a lower semi-continuous function (thus involving state constraints) is a descent algorithm applied to an auxiliary function whose local and global minima are the global minima of the original function. Although this auxiliary...

This study proposes a new framework to tackle the uncertainty that prevails in the exploitation of renewable resources. It deals with the question of how to guarantee both a minimum multi-species harvest and the renewal of resources when their evolutions are uncertain. The problem is twofold: to...

This paper deals with inertia functions in control theory introduced in Aubin, Bernardo and Saint-Pierre (2004, 2005) and their adaptation to dynamical games. The inertia function associates with any initial state-control pair the smallest of the worst norms over time of the velocities of the...

Socio-economic networks, neural networks and genetic networks describe collective phenomena through constraints relating actions of several actors, coalitions of these actors and multilinear connectionist operators acting on the set of actions of each coalition. We provide a class of control...