This work aims at reviewing the state of the art of the field of lexicographic multi/many-
objective optimization. The discussion starts with a review of the literature, emphasizing the …

Thanks to the advent of new technologies and higher real-time computational capabilities,
the use of unmanned vehicles in the marine domain has received a significant boost in the …

We present a sequential hierarchical least-squares programming solver with trust-region
and hierarchical step-filter with application to prioritized discrete non-linear optimal control. It …

Alpha-Theory was introduced in 1995 to provide a simplified version of Robinson's non-
standard analysis which overcomes the technicalities of symbolic logic. The theory has been …

This work presents a generalized implementation of the infeasible primal-dual interior point
method (IPM) achieved by the use of non-Archimedean values, ie, infinite and infinitesimal …

Hierarchical least-squares programs with linear constraints (HLSP) are a type of
optimization problem very common in robotics. Each priority level contains an objective in …

In this chapter we show how a lexicographic multi-objective linear programming problem
(LMOLP) can be transformed into an equivalent, single-objective one, by using the …

This chapter introduces a new class of optimization problems, called Mixed Pareto-
Lexicographic Multi-objective Optimization Problems (MPL-MOPs), to provide a suitable …