Recent Trends in Multiobjective Optimization and Optimal Control

Dear Colleagues,

In many applications in the natural sciences, in engineering or in industry one has to optimize several objectives at the same time. A topical paradigm is the simultaneous optimization of safety, energy efficiency and comfort in the area of autonomous driving. In mathematical terms this leads to multiobjective optimization problems whose solution—the “optimal compromise” between the different objectives—is provided by the set of so-called Pareto optimal points.

Due to the increasing complexity of current technical innovations, interest in the field of multiobjective optimization has recently increased significantly. The purpose of this Special Issue is to highlight recent trends and significant advances in this area. Of interest in this context are topics including but not limited to:

• multiobjective optimal/model predictive/feedback control;
• multiobjective optimization with PDE constraints;
• many-objective optimization (i.e. the number of objectives is larger than 3);
• multiobjective optimization based on data, or in combination with mathematical models (e.g. for the problems mentioned above).

Approaches to the solution of these problems are e.g. provided by classical mathematical optimization methods, modern control strategies, techniques from model order reduction, evolutionary algorithms, robust and data-driven optimization or from machine learning. Each submission should either directly address or elaborate on the relevance for an application. However, the wide spectrum of applications is not limited and it could range from real-time applications in autonomous driving to control problems in fluid mechanics.

Prof. Dr. Michael Dellnitz
Prof. Dr. Sina Ober-Bloebaum
Dr. Sebastian Peitz
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.