The first edition of the of the French-German Congress of Optimization started back in 1980 in Oberwolfach (Germany) as a meeting of French and German mathematicians who shared a common interest in different aspects of mathematical optimization. Since that edition, researchers of other countries have participated in this congress and, starting in 1998 a third country is invited to participate in the organization. On this occasion, we have had the honour to be chosen to host it in Spain, so this is a French- German-Spanish conference (FGS2024, https://www.unioviedo.es/fgs2024/). It took place in the Campus of Gijón of the Universidad de Oviedo, in the Spanish region of Asturias. In this proceedings book you can find the extended abstracts of some of the communications presented at the conference. They include a variety of topics related to optimization, ranging from classical ones --such as optimal control, inverse problems or mathematical programming-- to the latest insights into machine learning and artificial intelligence provided by the application to control theory to the study of neural odes, as generalizations of neural networks. We would like to thank all the people that have made this congress possible: all the authors and coauthors of presentations, the scientific committee, the technical secretariat of the Foundation Universidad de Oviedo, the students that have volunteered, and our sponsors.
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